Solve the system of equations using elimination: x-3y=-14x−3y=−14 and x-7y=-26x−7y=−26.

With the help of the given equation, we know that the required slope is (A) 3/8.

In math, the gradient of a line is a number that tells you how steep it is and in which direction it goes in.

The point-slope form is a way of writing equations (y-y₁=m(x-x₁)) to emphasize the slope and a point on the line that isn't the y-intercept.

To highlight the same line's slope and y-intercept, you can rewrite the equation in slope-intercept form (y=mx+b).

So, we have the equation:

-3x + 8y = 12

Calculate the slope as follows:

We need to change it into a more general format.

-3x+8y=12

⇒ 8y = 3x+12

⇒ y = 3x/8+12/8

⇒ y = 3x/8+3/2

If you look at it in terms of y = mx+c, the m would be 3/8.

Therefore, with the help of the given equation, we know that the required slope is (A) 3/8.

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Complete question:

Select the correct answer. What is the slope of the line represented by this equation? -3x + 8y = 12

a. 3/8

B. 4/8

C. 8/4

D. 2

Answer:

t ≥ 7

Step-by-step explanation:

6t - 1 ≥ 4t + 13 ( subtract 4t from both sides )

2t - 1 ≥ 13 ( add 1 to both sides )

2t ≥ 14 ( divide both sides by 2 )

t ≥ 7

Answer:

Inequality Form: t ≥ 7

Interval Notation: [ 7, ∞ }

Step-by-step explanation:

1) Move all terms that contain "t" to the left side of the inequality by subtracting 4t from both sides.

a) 6t – 1 – 4t ≥ 13, THEN subtract 4t from 6t

b) 2t – 1 ≥ 13

2) Move terms that do not contain "t" to the right side of the inequality:

a) ADD 1 to both sides ––>  2t ≥ 13 + 1

b) ADD 13 and 1 ––> 2t ≥ 14

3) Divide each term by 2, then simplify:

= 2t/2 ≥ 14/2

4) Simplify the left side:

t = 14/2

5) Simplify the right side:

t ≥ 7

ANSWER:

Inequality Form: t ≥ 7

Interval Notation: [ 7, ∞ }

Answer:

The answer is

30 degrees is acute angle

60 degrees is also acute angle

90 degrees is right angle

Step-by-step explanation:

anything below 90 degrees is acute angle

90 degrees creates a perfect square which is a right angle

scale factor is 2/3

Step-by-step explanation:

because

Answer:

You could compare the ounces or weight, the price per unit, or overall quality.

Step-by-step explanation:

You could use the ounce/weight to check which weighs more, or has more in it. Then figure out which is more reasonable. You could use the price per unit, and the ounce/weight because the price per unit/ price per ounce could be more expensive, or less expensive and make more sense to buy. Or you could just use overall quality. You can have an item with more in it, but have lower quality contents, when you could have a smaller amount with better quality contents, which might cost a little more.\

-Hope this helped

The vertices of the polygon before and after dilation are shown below

preimage         Image

S (-5, 2)            S' (-20, 8)

T (-3, 4)            T' (-12, 16)

U (-1, 1)             U' (-4, 4)

V (3, -1)            V' (12, -4)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

Applying the rule to the vertices  of the polygon we have

preimage                          Image

S (-5, 2)     (4 * -5, 4 * 2)    S' (-20, 8)

T (-3, 4)     (4 * -3, 4 * 4)       T' (-12, 16)

U (-1, 1)      (4 * -1, 4 * 1)        U' (-4, 4)

V (3, -1)      (4 * 3, 4 * -1)        V' (12, -4)

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The angle measures of the triangle are :

And since it has an angle measuring 90° (right angle), so conclusion can be made that the given triangle is a right angled triangle.

Hence, correct choice is ;

[tex]\qquad \sf  \dashrightarrow \: \bf right[/tex]

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same.

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.

When a point is reflected across the Y-axis, the Y-coordinates remain the same, and the X-coordinates are transformed into their opposite signs.

Therefore, the reflection of the point (x, y) across the Y-axis is (-x, y).

A reflection of a point, a line, in the Y axis reflects the image over the Y axis to create a mirror image. In this way, the Y axis would be called the axis of reflection.

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Triangular (comparative more triangular, superlative most triangular) (comparative more triangular, superlative most triangular) a triangle-shaped form.

The entire area bounded by any triangle's three sides is referred to as the triangle's area. In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h.

The Great Pyramid held the record for the world's highest building for more than 4,000 years, standing at 146.5 m (481 ft) tall. After losing 9.5 meters (31 feet) off the top, it is now 137 meters (449.5 feet) high.

S2(A2)2 is a formula that calculates the height of a square pyramid. In this example, a represents the length of the square base edge and s represents the square pyramid's slant height. Given by a2(h3) is the volume of the square pyramid.

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it’s 12

Step-by-step explanation:

Answer:ontinuing this process shows that for 16 teams, there are 8 + 4 + 2 + 1, or 15 total games. Using brackets can be done for any number of teams.

Step-by-step explanation:

Answer:

For the hexagon, the sum of all angles must be equal to 360. So, we have 360 divided by 6 and we have 60 and this is the angle for the hexagon. For the pentagon, again, the sum of all the angles must be equal to 360, so each angle is equal to 360/5 = 72.

The difference between 72 and 60 is equal to y which is 12.

Step-by-step explanation:

Answer:

What is this on

Step-by-step explanation:

Answer:

Step-by-step explanation:

add a better picture

The formula of the minor sector =  (θ/360°) × π r²

The formula of the minor segment = (θ / 360°) × πr² - (1/2) r² sin θ (OR) r² [πθ/360° - sinθ / 2] if 'θ' is in degrees

What is a segment of a circle?

A circle's arc and chord together define a segment, which is the area within that region. Let's go over what a circle's arc and chord signify once more.

What is a sector of a circle?

The term "Minor Sector" refers to the tiny area of a circle that is removed by two circle radii. The minor sector is a tiny area occupied by two radii.

Here,

We have to find the formula of the minor sector and minor segment.

We concluded that

The formula of the minor sector =  (θ/360°) × π r²

The formula of the minor segment = (θ / 360°) × πr² - (1/2) r² sin θ (OR) r² [πθ/360° - sinθ / 2] if 'θ' is in degrees.

Hence, the formula of the minor sector is  (θ/360°) × π r².

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The value of y in the equation is 44.

What is equation ?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

46 + 46 + y + y = 180

2y = 180 - 46 - 46

2y = 180 - 92

y = 88 / 2

y = 44

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Lindsay's z - score, given the mean score, the standard deviation, and her score, is 2. 35.

To calculate a z-score, you subtract the mean from the individual score and then divide by the standard deviation.

The formula is:

z = (x - μ) / σ

Where

x is the individual score

μ is the mean

σ is the standard deviation.

So, to find Lindsay's z-score:

z = (98 - 78.2) / 8.4

z = 19.8 / 8.4

z = 2.35

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The graph that shows the function f(x) = -ln (x - 1) is graph C.

Option C is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

f(x) = -ln (x - 1)

When x = 1, f(1) = - ln 0 = ∞

When x = 2, f(2) = - ln (2 -1) = -ln 1 = 0

When x = 3, f(3) = - ln (3 - 1) = - ln 2 =  - 0.30

These coordinates are seen in graph C.

The graph in option C represents f(x).

Thus,

The graph in option C represents f(x).

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Answer:

12 and 13!

12 * 13 = 156

Step-by-step explanation:

Hope it helps! =D

Answer: The answer to your question is 12 and 13= 156

Answer:

$11.05

Step-by-step explanation:

First, you make the percent into a decimal

35% - 0.35

Next, you multiply 17 and 0.35

17* 0.35= 5.95

Then, you subtract the discount which is $5.95 from $17

17-5.95= 11.05

So, the answer is $11.05

Hope this helps :)

Answer: $11.05

Step-by-step explanation:

First how much 35% of 17:

35% = 0.35

0.35 x 17 = 5.95

Next, subtract this discount off of the total:

17 - 5.95 = 11.05

Now adding the dollar sign makes it $11.05

The value of a for the given expression will be 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression will be 8 x 88 = 8x (90-a). The value of a will be calculated as,

8 x 88 = 8x (90-a)

88 = 90 - a

a = 90 - 88

a = 2

Hence, the value of a will be 2.

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So the possible values of (z+1/z) are 6 and 0 for z=5 and z=-1 respectively.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

We can start by multiplying both sides of the equation by (z+1/z) to get:

(z-1/z)(z+1/z) = 6(z+1/z)

This simplifies to:

z^2 - 1 = 6z + 6

We can then solve for z by isolating it on one side of the equation.

z^2 - 6z - 5 = 0

(z-5)(z+1) = 0

So the solutions to this equation are z = 5 and z = -1

Now we can substitute the value of z back into the original expression to find the value of (z+1/z)

For z = 5, (z+1/z) = (5+1/5) = 6

For z = -1, (z+1/z) = (-1+1/(-1)) = 0

So the possible values of (z+1/z) are 6 and 0.

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Answer:

11.5 (this is a decimal)

Answer:

answer B

Step-by-step explanation:

Did this one on a test got it right last week

The number of miles driven by Taub in a week is 3 times the number of miles driven by Valeria in a week.

Number of miles driven by each person in a week:

Valeria = 7

Taub = 21

Ruby = 35

Number of miles driven by Taub : Number of miles driven by Valeria

= 21 : 7

= 21/7

= 3/1

= 3 : 1

Therefore, the number of miles driven by Taub : number of miles driven by Valeria in a week is 3 : 1 in it's simplest form.

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Answer:

BC = 143

JC = 10

Step-by-step explanation:

      In similar triangles, the corresponding sides are in same ratio.

   ΔABC ~ ΔAGH

         [tex]\sf \dfrac{BC}{GH} = \dfrac{AB}{AG}\\\\\\\dfrac{BC}{22}=\dfrac{130}{20}\\\\[/tex]

            [tex]\sf BC =\dfrac{130}{20}*22[/tex]

                   = 13 * 11

            [tex]\sf \boxed{BC = 143}[/tex]

11) ΔJLK ~ ΔJBC

          [tex]\sf \dfrac{JC}{JK} = \dfrac{JB}{JL}\\\\\\\dfrac{JC}{40}=\dfrac{12}{48}\\\\JC = \dfrac{12}{48}*40\\\\JC = \dfrac{1}{4}*40\\\\JC = 1*10\\\\\boxed{\bf JC = 10}[/tex]

Answer: There would be 240 oranges in 12 baskets.

Step-by-step explanation:

So, if there's 20 oranges per basket, you would just need to multiply 20 oranges by the 12 baskets.

20 x 12 = 240.

The height of a triangle is calculated to be 18 cm if its base is 24 cm and its area is 216 cm².

Given that,

Base = 24 cm

Area = 216 cm²

Height = ?

The formula to find out the area of the triangle is given by,

Area A = 1/2 × Base b × Height h

A = 1/2 × b × h

Making h as subject, we have,

h = (2 A)/b = (2× 216)/24 = 18 cm

Thus, the required height of a triangle is calculated to be 18 cm if its base is 24 cm and its area is 216 cm².

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Answer:

slope=-3/4

y=5/4

Step-by-step explanation:

attached wrk here

Substitution table method is a method for solving systems of linear equations. It involves writing out the equations in a table with one variable per column, and then substituting one variable for the other until the equations are solved. This method can help students visualize the equations and make it easier to keep track of the values of each variable.

The substitution table method is a simple but effective way of solving systems of linear equations. It involves writing out the equations in a table with one variable per column. Then, one variable is substituted for the other until the equations are solved. This method is useful because it provides a visual way of keeping track of the values of each variable. It can also help students understand which variable values need to be substituted into which equations. Once the table is complete, the equations can be solved by using the values of the variables in the table. This method can be used to solve both two-variable and multi-variable systems of linear equations.

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