which expression is eqivalent to 5( x -3)?

Answer:

32 degrees

Step-by-step explanation:

Recall the three main trig functions: sine, cosine, and tangent.

When using sine, we divide the opposite side from the angle by the hypothenuse.

When using cosine, we divide the adjacent side of the angle by the hypothenuse.

When using tangent, we divide the opposite side from the angle by the adjacent side to the angle.

Since we are given the opposite and adjacent sides, we'll use tangent.

We set up the equation like normal:

tan x [tex]= \frac{13}{21}[/tex]

Now, when finding the angle measurement using trig, we must use the opposing trig function, arcsine, arccosine, and arctangent. The opposing trig function is arctangent. We have to move arctangent to the other side, so that it can be used with the fraction, so:

[tex]x = arctan(\frac{13}{21} )[/tex]

(You would also write arctan, as tan with an exponent of -1) Now, just punch the right side of the equation into a calculator. The nearest degree is 32.

Therefore, the answer is 32 degrees. If you got something different, make sure your calculator is in degrees, not radians! (They are usually abbreviated as DEG and RAD.)

Answer:

  5.0

Step-by-step explanation:

You want the Beaufort scale number corresponding to 9.4 m/s, given the formula ...

  v = 0.83B^(3/2)

Put the given speed in the formula and solve for B.

  9.4 = 0.83B^(3/2)

  9.4/0.83 = B^(3/2)

  B = (9.4/0.83)^(2/3) ≈ 5.043

The wind speed is about 5.0 on the Beaufort scale.

Answer:

arc length ≈ 37.7

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{135}{360}[/tex] ( r is the radius )

   = 2π × 16 × [tex]\frac{3}{8}[/tex]

   = 32π × [tex]\frac{3}{8}[/tex]

  = 4π × 3

  = 12π

  ≈ 37.7 ( to the nearest tenth )

Answer:

All new reflected coordinates

T (-3, 6)

S (-2, 4)

U (-4, 4)

R (-3, 2)

Step-by-step explanation:

This is because the are reflected sideways on x = 1. This works like a mirror or opening a page of a book if that helps visualise it.

No, 3 is not greater than 5. This is because 5 is larger than 3.

From the question, we have the following parameters that can be used in our computation:

3 and 5

No, 3 is not greater than 5. This is because 5 is larger than 3.

In other words, 5 is further to the right on the number line than 3.

We can also say that 5 is the greater number and 3 is the lesser number.

Read more about inequality at

https://brainly.com/question/30390162

#SPJ1

Using the given percentage we can see that the minimum and maximum numbers are:

N-  = 967

N+ = 1,150

The total number of students is 3,650, and we know that the average percentage is 29% ± 2.5%

The minimum value is what we get when we use the minus sign:

29% - 2.5% = 26.5%

The 26.5%  of 3,650 is:

N- = (0.265)* 3,650 = 967

The maximum value is what we get when we use the plus sign:

29% + 2.5% = 31.5%

The 31.5% of  3,650 is:

N+ = (0.315)*3,650 = 1,150

These are the two values.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

If diameter 6 cm and height 16 cm, the volume of the right circular cylinder is 144π cubic cm.

The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. In this case, the diameter is given as 6 cm, so the radius is half of the diameter, which is 3 cm. The height is given as 16 cm.

Substituting these values into the formula, we get:

V = π(3 cm)^2(16 cm)

V = π(9 cm^2)(16 cm)

V = 144π cubic cm

A right circular cylinder is a three-dimensional object with a circular base and straight sides that are perpendicular to the base. The volume of a cylinder is the amount of space that it occupies and is calculated by multiplying the area of the base by the height.

In this case, the base of the cylinder is a circle with radius 3 cm, so its area is π(3 cm)^2 = 9π square cm. The height of the cylinder is 16 cm, so the volume is 9π x 16 = 144π cubic cm.

To learn more about volume click on,

https://brainly.com/question/3104624

#SPJ4

Answer:

$10,244.14 after 12 years

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

A = the final amount of the investment

P = the principal amount ($4200 in this case)

r = the annual interest rate (8% or 0.08 as a decimal)

n = the number of times the interest is compounded per year (once annually in this case)

t = the number of years the money is invested (12 years in this case)

Substituting the given values into the formula, we get:

A = 4200(1 + 0.08/1)^(1*12)

A = 4200(1.08)^12

A = 4200(2.44140625)

A = $10,244.14 (rounded to the nearest cent)

The possible lengths of each side of the garden is given by the inequality relation 0 ≤ x ≤ 12

Given data ,

Let's assume that the square garden has sides of length x.

To surround the garden, we will need fencing of length equal to the perimeter of the square, which is 4x

The total amount of fencing is at most 52 feet

So , the inequality is

4x ≤ 52

Dividing both sides by 4, we get:

x ≤ 13

Therefore, the possible length of each side of the garden is less than or equal to 13 feet

And , each side of garden should be more than 0 , so

x > 0

Hence , the full inequality representing the possible length of each side of the garden would be 0 < x ≤ 13

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

Answer:

Step-by-step explanation:

-109f

Answer:

c and a

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it’s b

[tex]sin^2(x)[/tex]  can be expressed as [tex](1 - cos(2x)) / 2[/tex] using the power reducing formula.

To express [tex]sin^2(x)[/tex]using the power reducing formula,

we need to recall the following trigonometric identity:
[tex]sin^2(x) = (1 - cos(2x)) / 2[/tex]
Recognize that the question asks for the power reducing formula for sin^2(x).
Recall the trigonometric identity:[tex]sin^2(x) = (1 - cos(2x)) / 2[/tex]
The power reducing formula for [tex]sin^2(x)[/tex] is:[tex](1 - cos(2x)) / 2.[/tex]

The power reducing formula is a trigonometric identity that allows you to express a trigonometric function of a higher power in terms of a trigonometric function of a lower power.

It is most commonly used for reducing the power of the sine and cosine functions.

The power reducing formula for cosine is:

[tex]cos^2(x) = (1 + cos(2x))/2[/tex]

The power reducing formula for sine is:

[tex]sin^2(x) = (1 - cos(2x))/2[/tex]

These formulas can be derived using the Pythagorean identity, which states that [tex]sin^2(x) + cos^2(x) = 1.[/tex]

By solving for either[tex]sin^2(x) or cos^2(x)[/tex] in terms of the other, and then using the double angle formula for cosine[tex](cos(2x) = cos^2(x) - sin^2(x)),[/tex] we can arrive at the power reducing formulas.

For similar question on power.

https://brainly.com/question/29257047

#SPJ11

Answer:

6.4

Step-by-step explanation:

The line plot of the data points is added as an attachment

Part A:

A line plot or dot plot would be an appropriate graphical representation for this data set. A line plot would show each data point on a number line with an X above the value,

This graph would be appropriate for displaying this data because the data set is relatively small and the values are discrete (whole numbers), making it easy to see the frequency and distribution of the data points.

Part B:

To create a line plot or dot plot for this data set, you would first need to create a number line that spans the range of values in the data set.

In this case, the range of values is from 91 to 125, so the number line would include all values between these two numbers.

Read more about line plots at

https://brainly.com/question/27246403

#SPJ1

The Pythagorean Theorem can be utilized in any situation to establish a connection between the side lengths of the squares and the sort of triangle that results.

Let's use the notation "a, b, and c" to indicate the three squares' side lengths, where "a" stands for the shortest side, "b" for the midpoint, and "c" for the longest side.

The area of the largest square (c), which is created by the hypotenuse of the triangle, is equal to the sum of the areas of the two smaller squares when three squares' sides form an acute triangle.

The areas of the two smaller squares (a and b) formed by the two larger squares (a and b) are equal when three squares have sides that form an obtuse triangle.

If three squares have sides that make a right triangle, then the sum of the areas of the two small squares is equal to the area of the largest square (c) formed by the hypotenuse of the right triangle.

In all cases, the Pythagorean Theorem can be used to determine the relationship between the side lengths of the squares and the type of triangle formed.

To know more about Pythagorean Theorem  visit,

https://brainly.com/question/14930619

#SPJ1

Answer:

(0, [tex]\frac{1}{2}[/tex] ) , (1, [tex]\frac{5}{4}[/tex] ) , (2, 2 )

Step-by-step explanation:

to determine which points are contained in the graph.

substitute the x- coordinate of each point into the equation and if the value obtained is equal to the y- coordinate of the point then it is contained in the graph.

(0, [tex]\frac{1}{2}[/tex] )

y = [tex]\frac{3}{4}[/tex] (0) + [tex]\frac{1}{2}[/tex] = 0 + [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] = y- coordinate ← contained in graph

(1, [tex]\frac{5}{4}[/tex] )

y = [tex]\frac{3}{4}[/tex] ( 1) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{5}{4}[/tex] = y- coordinate ← contained in graph

([tex]\frac{1}{2}[/tex], 0 )

y = [tex]\frac{3}{4}[/tex] ([tex]\frac{1}{2}[/tex] ) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] + [tex]\frac{4}{8}[/tex] = [tex]\frac{7}{8}[/tex] ≠ y- coordinate ← not contained in graph

(2, 2 )

y = [tex]\frac{3}{4}[/tex] (2) + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 = y- coordinate ← contained in graph

The axis of symmetry is located at a distance of 6.67 feet from one side of the smile and the height of the smile at the axis of symmetry is 0.891 feet.

The equation of the Amazon Smile logo is given by:

h(x) = -0.03x² + 0.4x

To find the axis of symmetry, we need to use the formula:

x = -b / 2a

where a and b are the coefficients of the quadratic equation ax²  + bx + c = 0.

a = -0.03 and b = 0.4.

x = -0.4 / 2(-0.03) = 6.67 feet

Therefore, the axis of symmetry is located at a distance of 6.67 feet from one side of the smile.

To find the height of the smile at the axis of symmetry, we need to substitute x = 6.67 into the given equation:

h(6.67) = -0.03(6.67)² + 0.4(6.67) = 0.891 feet

Therefore, the axis of symmetry is located at a distance of 6.67 feet from one side of the smile and the height of the smile at the axis of symmetry is 0.891 feet.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

The true statement is B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1), by comparing the probabilities and interpreting the likelihood.

From the given information,

Probability of the batting average of player 1 = 4/7

Probability of the batting average of player 2 = 5/8

Probability of the batting average of player 3 = 3/6 = 1/2

We have to find the likelihood of each player.

LCM (7, 8, 6) = 56

Probability of player 1 = (4 × 8) / (7 × 8) = 32/56

Probability of player 2 = (5 × 7) / (8 × 7) = 35/56

Probability of player 1 = (1 × 28 ) / (2 × 28) = 28/56

Here the likelihood is greatest for player 2, then player 1 and the least likelihood is for player 3.

Hence the correct option is B.

Learn more about Probability here :

https://brainly.com/question/30034780

#SPJ1

Answer:

l = 2w - 3

2(2w - 3) + 2w = 27

4w - 6 + 2w = 27

6w - 6 = 27

6w = 33, so w = 5.5 feet and l = 8 feet

Answer:

Width: 5.5 feet

Length: 8 feet

Step-by-step explanation:

Let's begin by assigning variables to stand in for the rectangle's width and length.

Let x represent the rectangle's width.

The length is three feet shorter than double the width, according to the problem. As a result, the length may be written as:

2x - 3

The lengths of all the sides make up a rectangle's perimeter, which in this instance is:

2w + 2l

By substituting the width and length measurements we discovered:

2x + 2(2x - 3)

Simplifying:

2x + 4x - 6 = 27

6x = 33

x = 5.5

The rectangle is 5.5 feet wide as a result.

We may change x into the expression we discovered earlier to figure out the length:

2(5.5) - 3 = 8

The rectangle is 8 feet long as a result.

As a result, the rectangle's measurements are:

Width: 5.5 feet

Length: 8 feet

Answer:

  h = 10 13/14 units

Step-by-step explanation:

You want the height from the side of length 14 of a parallelogram with side length 17 and height 9.

The area of a parallelogram is the same, no matter which side is used as the "base". This means ...

  A = bh = 17(9) = 14(h)

  h = 17·9/14 = 10 13/14 . . . . units

The rational numbers in the list of options are √4+√16, 2* √4 and √49 • √81

The examples of rational numbers among the given options are:

The other options are not rational numbers:

Read more about rational numbers at

https://brainly.com/question/12088221

#SPJ1

A government structure that is authoritarian or dictatorial in nature would be threatened by debate over public policy.

In such a system, the government exercises complete control over decision-making and any opposition or dissent is not tolerated.

Open debate and discussion over public policy would challenge the authority of the government and its ability to maintain control over the population.

Democracies, on the other hand, thrive on healthy debate and discussion over public policy, as it allows for diverse perspectives and ideas to be heard and considered.

For similar question on authoritarian.

https://brainly.com/question/31356726

#SPJ11

For a continuous random variable X, which is uniformly distributed on an interval [4,9], the probability density function of [tex]f_Y( y)[/tex] is equals to

[tex]f_Y( y) =\begin{cases} \frac{2y}{5},\quad 2≤ x ≤ 3 \\ 0, \quad \: otherwise\ \ \end{cases}[/tex]. So, option(5) is correct.

We have a continuous random variable X is uniformly distributed on the interval [4,9]. The PDF is a probability that a random variable acquire a value exactly same or equal to the random variable but in case of CDF, this probability values is less than or equal to the random variable. The probability density function for X is defined as [tex]f_X(x) = \frac{1}{b - a} [/tex] so, we can write it as [tex]f_X ( x) =\begin{cases} \frac{1}{5},\quad 4≤ x ≤ 9 \\ 0, \quad otherwise \\ \end{cases}[/tex].

We have to determine the probability density function [tex]f_Y(y)[/tex]. For this first we have to calculate the cumulative distribution function for f(x) is written as [tex]F_X(x) = \int_{4}^{x} f(x) dx [/tex]

[tex]= \int_{4}^{x} \frac{1}{5} dx [/tex]

[tex]= \frac{1}{5} [ x]_{4}^{x} [/tex]

[tex]F_X(x) = \frac{x - 4}{5}[/tex]

Now, we have, [tex] Y = \sqrt{X}[/tex]

when X = 4 => Y = 2 and X = 9 => Y = 3

Also, X = Y²

Differentiating X = Y² with respect to Y

=> dX = 2Y dY

=> dX/dY = 2Y

Now, pdf of Y is written as [tex]f_Y(y) = f_X(x)|\frac{dX}{dY}| [/tex]

[tex] = \frac{ 1}{5} × 2y[/tex]

[tex]= \frac{ 2y}{5}[/tex]

So, [tex]f_Y( y) =\begin{cases} \frac{2y}{5},\quad 2≤ x ≤ 3 \\ 0, \quad \: otherwise \ \ \end{cases}[/tex]. Hence, required value is [tex]f_Y( y) =\begin{cases} \frac{2y}{5},\quad 2≤ x ≤ 3 \\ 0, \quad \: otherwise \ \ \end{cases}[/tex].

For more information about uniform distribution, visit :

https://brainly.com/question/31293679

#SPJ4

Complete question:

The above figure complete the question.

Neither of the segments is the perpendicular bisector of the other.

To determine which segment is the perpendicular bisector of the other, we need to find the equations of the lines containing each segment and then check if one of the lines is perpendicular to the other and passes through the midpoint of the other segment.

Let's start by finding the midpoint of segment AT. The coordinates of A and T are not given, but we don't actually need them to find the midpoint.

So, the midpoint M of segment AT is:

M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2)

We don't know the actual values of AT_x1, AT_x2, AT_y1, and AT_y2, but we can find their expressions in terms of x using the segment lengths and the coordinates of the endpoints. We have:

AT_x2 - AT_x1 = BT_x2 - AT_x1 = (x + 5) - (2x + 3) = -x + 2

AT_y2 - AT_y1 = BT_y2 - AT_y1 = (BT - AT) = (x + 5) - (2x + 3) = x + 2

Therefore,

AT_x1 = AT_x2 + x - 2

AT_y1 = AT_y2 - x - 2

Now, we can substitute x=2 and the expressions for AT_x1 and AT_y1 into the midpoint formula to find the coordinates of M:

M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2) = ((AT_x2 + 2 - AT_x2)/2, (AT_y2 - 2 - AT_y2)/2) = (1, -1)

So, the midpoint of segment AT is M(1, -1).

Next, let's find the equations of the lines containing segments AT and DT. We can use the point-slope form of the equation of a line, which states that the equation of a line passing through a point (x1, y1) with slope m is y - y1 = m(x - x1).

For segment AT, we have:

m_AT = (AT_y2 - AT_y1)/(AT_x2 - AT_x1) = (x + 2)/(x - 1)

Let's substitute x=2 to find the slope of the line containing segment AT:

m_AT = (2 + 2)/(2 - 1) = 4

So, the equation of the line containing segment AT is:

y - AT_y1 = m_AT(x - AT_x1)

y - (22 + 3) = 4(x - 22 - 1)

y - 7 = 4(x - 5)

y = 4x - 13

For segment DT, we have:

m_DT = tan(m∠ATD) = tan(41x + 8)

Let's substitute x=2 and simplify:

m_DT = tan(82 + 8) = tan(90) = undefined

This means that the line containing segment DT is vertical and its equation is x = DT_x1 = 4*2 + 1 = 9.

Now, we need to check if one of these lines is perpendicular to the other and passes through the midpoint of the other segment.

First, let's check if the line containing segment AT is perpendicular to the line containing segment DT.  We have:

m_AT * m_DT = 4 * undefined = undefined

Since undefined is not equal to -1, the lines are not perpendicular, and we can rule out the possibility that the line containing segment AT is the perpendicular bisector of segment DT.

Next, let's check if the line containing segment DT is perpendicular to the line containing segment AT. We have:

m_AT = 4

So, the slope of the line perpendicular to the line containing segment AT is -1/4. We can use the point-slope form of the equation of a line again:

y - M_y = -1/4(x - M_x)

y - (-1) = -1/4(x - 1)

y + 1 = -1/4x + 1/4

y = -1/4x + 3/4

Now, we need to check if this line passes through point D, an endpoint of segment DT. We can substitute the coordinates of D into the equation of the line and check if the equation holds true:

DT_y1 = 4*2 + 1 = 9

DT_x1 = 9

9 = -1/4*9 + 3/4

9 = -9/4 + 3/4

9 = -6/4

This is not true, so the line containing segment DT does not pass through point D. Therefore, we can conclude that the line containing segment DT is not the perpendicular bisector of segment AT.

Learn more about perpendicular bisector here: https://brainly.com/question/11006922

#SPJ1

For the given problem, The correct answer will be option 2: The IQR of 13 is the most accurate to use, since the data is skewed.

The Interquartile Range (IQR) is a measure of variability that compares the 25th percentile (Q1) to the 75th percentile (Q3) of a dataset (Q3). It is frequently used to describe the distribution or variability of data that may contain outliers or is not regularly distributed.

The data in the histogram is not evenly distributed in this example because there are many donations at the higher end of the scale (16 to 20), resulting in a positively skewed distribution. Using a range of 20, which indicates the difference between the greatest and lowest value in the dataset, may not adequately depict the data's variability since it is significantly impacted by outliers at the extremes.

For the given dataset, IQR can be calculated as:

Arrange the dataset in ascending order:

[tex]5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20[/tex]

Find the median (Q2), i.e. the middle value of given dataset:

Median (Q2) = 15

Find the lower quartile (Q1), which is the median of the lower half of the dataset:

[tex]Q1 = Median of (5, 5, 6, 8, 10) = 6[/tex]

Find the upper quartile (Q3) i.e. median of the upper half of dataset:

[tex]Q3 = Median \;of (15, 18, 20, 20, 20, 20, 20) = 19[/tex]

[tex]IQR = Q3 - Q1 = 19 - 6 = 13[/tex]

Utilizing the IQR of 13, which represents the range between the 25th percentile (Q1 = 6) and the 75th percentile (Q3 = 19), would provide a more accurate measure of variability that is less impacted by outliers at the higher end of the data. It would also offer a better indication of the organization's typical donations because it captures the middle 50% of the data.

Learn more about Interquartile Range here:

https://brainly.com/question/29204101

#SPJ1

The interval over which both functions are positive is (4, ∞).

In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:

f(x) = alog(±x + h) + k

Where:

Based on the given logarithm function g(z) = log₂(z + 3) - 2, we can reasonably infer and logically deduce that it is a vertical translation of this logarithmic function f(z) = log₂(z + 3).

Additionally, the logarithm function g(z) has a vertical asymptote at z = -3 and would be positive on the interval (-3, ∞). This ultimately implies that, an intersection of the intervals over which each function is positive is given by;

Intersection of intervals = (4, ∞) ∪ (-3, ∞).

Positive interval = (4, ∞).

Read more on logarithm function here: https://brainly.com/question/31288200

#SPJ1

They form a parallelogram because opposite sides of the given points have an equal slope.

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

To prove that the four points (2,1), (-1,-5), (1,5), and (-2,-1) are the vertices of a parallelogram, we need to show that opposite sides are parallel.

First, we can find the slope of the line connecting (2,1) and (-1,-5):

m1 = (1 - (-5)) / (2 - (-1)) = 6/3 = 2

Next, we can find the slope of the line connecting (1,5) and (-2,-1):

m2 = (5 - (-1)) / (1 - (-2)) = 6/3 = 2

Since the slopes are the same, the line segments connecting these points are parallel.

Now, we can find the slope of the line connecting (2,1) and (1,5):

m3 = (5 - 1) / (1 - 2) = -4

Next, we can find the slope of the line connecting (-1,-5) and (-2,-1):

m4 = (-1 - (-5)) / (-2 - (-1)) = 4/3

Since the slopes are different, the line segments connecting these points are not parallel.

However, we can also see that the line connecting (1,5) and (-1,-5) has the same slope as the line connecting (-2,-1) and (2,1), which is:

m5 = (5 - (-5)) / (1 - (-1)) = 10/2 = 5

Therefore, the line segments connecting (1,5) and (-1,-5), and (-2,-1) and (2,1) are parallel.

Since opposite sides are parallel, the four points (2,1), (-1,-5), (1,5), and (-2,-1) form a parallelogram.

Therefore, they form a parallelogram because opposite sides of the given points have an equal slope.

To learn more about the slope visit:

https://brainly.com/question/3493733

#SPJ1

Answer:

36

Step-by-step explanation:

Given:

1/6 of the marbles are red

1/3 of the marbles are blue

There are 18 green marbles in the jar

We can set up the following equations based on the given information:

Number of red marbles = 1/6 * x

Number of blue marbles = 1/3 * x

Number of green marbles = 18

Since the total number of marbles in the jar is "x", we can write the equation for the sum of all the marbles as:

(Number of red marbles) + (Number of blue marbles) + (Number of green marbles) = x

Substituting the values from the given information:

1/6 * x + 1/3 * x + 18 = x

Multiplying through by 6 to eliminate the fraction:

x/6 + 2x/6 + 18 = 6x/6

x + 2x + 108 = 6x

Combining like terms:

3x + 108 = 6x

Subtracting 3x from both sides of the equation:

3x + 108 - 3x = 6x - 3x

108 = 3x

Dividing both sides by 3 to solve for x:

108/3 = 3x/3

36 = x

There is no solution to this system of equations. (option B).

What is equation?

An equation is a mathematical statement which is made by two expressions connected by an equal sign. For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

There is no solution to the given graph of two linear equations or system of linear equations.

From the given graph it is clear that graph of the given two equations shows  two lines that are parallel to each other. They don't meet or intersect each other at any point.

Since no point is on both lines, there is no ordered pair that makes both equations true.

Hence, there is no solution to this system of equations.

To know more about equations

brainly.com/question/2972832      from the link.

#SPJ1