What is the equation for a line that passes through the points (-4,-3) and (8,12)?

Answer:

Step-by-step explanation:

Area Formula

A = (a + b) × h/2

A = (28 + 14) * 16/2

A = 42 * 8

A = 336 cm²

Answer:

It will be a more accurate thing to put it into the mean.

Step-by-step explanation:

Mainly, there is a lot of numbers in the data. So the reason Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.

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The number of three digit numbers which use only the digits 0,1, and 5 is; 18.

Since, it follows from the task content that three digit numbers are to be considered, Hence, it follows that the choice for the first digit is between 1 and 5, for the second number and third number, the choice lies within all three numbers.

On this note, we have;

= 2× 3 × 3.

= 18.

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Account balance at the end of day is 195.

A word problem is a type of mathematics exercise where the majority of the problem's context is supplied in spoken language as opposed to mathematical notation.

now according to question

initial balance in account on march 16 =80

deposit in account on the same day = 50

overdraft fee charged by bank=25

several transactions amount deposited in bank=90

total amount deposited /available in bank account.

=80+50+90

=220

total amount deducted from account

=25

account balance at the end of day

=220-25

=195

hence answer is 195

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Answer:

i need more info please

Step-by-step explanation:

Option C

Answer:

x = 5, y = sqrt6, z = 3

Step-by-step explanation:

[tex]\frac{10}{\sqrt{6} } \\\\\frac{(10)(\sqrt{6} )}{(\sqrt{6} )(\sqrt{6}) } \\\\\frac{10\sqrt{6} }{6} \\\\or\\\\\frac{5\sqrt{6} }{3}[/tex]

❄ Hi there,

let us revise the way we rationalize the denominator before we get down to the actual process.

__________

Suppose you had a problem, and you did all the steps, and you arrived at the following answer: [tex]\sf{\dfrac{10}{\sqrt6}}[/tex].

Well, this answer is not in its simplest form, because it has an irrational number in its denominator.

So what we do is we get rid of that irrational number in the denominator  by multiplying the fraction's top & bottom by [tex]\sqrt6[/tex]:

[tex]\sf{\dfrac{10\sqrt6}{\sqrt6\times \sqrt6}}[/tex]

Now we simplify

[tex]\sf{\dfrac{10\sqrt6}{6}}[/tex]

Reduce

[tex]\sf{\dfrac{5\sqrt6}{3}}[/tex]

- - - - -  - - -

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer:

There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.

Step-by-step explanation:

41-29=12.

29*10=290

There are 117600 ways for the distribution of the prizes.

According to the statement

We have given that the number of people enter in a contest is 50.

And

Number of prizes given identically is 3.

And we have to find that the by how many ways can be prizes be awarded.

So,

Provided that no one can receive more than one prize,

It means The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48,

Here we use Permutation

Then the possibilities become is

50*49*48= 117600

So there are above written ways to distribute the prizes.

There are 117600 ways for the distribution of the prizes.

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Using the given information, the height of the tree is 48 ft

From the question, we are to determine the height of the tree

In the given diagram, the height of the tree is (x + 5) feet

First, we will determine the value of x

tan 47° = x / 40

x = 40 × tan47°

x = 42.89 ft

∴ The height of the tree = (42.89 + 5) ft

Height of the tree = 47.89 ft

Height of the tree ≈ 48 ft

Hence, the height of the tree is 48 ft.

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Answer:

A(1,2)

Step-by-step explanation:

tracing the point of intersection of the two lines on the y and the x axis,on the y we have 2 and on the x we 1.

Answer:

Se below

Step-by-step explanation:

The two angles form a straight line which is 180° angle

4z + z = 180

5z = 180

z = 36  °            4z = 144°

The values of x and y from the figure is 9 and 5 respectively

Two triangles are similar if the ratio of the similar sides is equal to a constant. From the given diagrams;

x/(8+4) = 6/8

x/12 =6/8

8x = 6 * 12

8x = 72

Divide both sides by8 to have:

8x/8 = 72/8

x = 9

Similarly;

10+y/x = 10/6

10+y/9 = 10/6

10+y/9 = 5/3

Cross multiply

3(10+y) = 5(9)

30 + 3y = 45

3y = 45-30

3y = 15

y = 5

Hence the values of x and y from the figure is 9 and 5 respectively

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The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

Let the number of rows be x

Number of cars in each row = x - 6 = 56

Number of rows for parking lot = 2x

Then,

Number of cars for new parking lot = 2x ( x - 6 = 56)

Expand the expression,

2 ( x - 6 = 56)

2x² - 12x = 112

Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

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The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

let

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

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Answer:

[tex] y = \pm \sqrt{\dfrac{x - 7}{6}} [/tex]

Step-by-step explanation:

f(x) = 6x² - 7

y = 6x² - 7

x = 6y² - 7

6y² = x - 7

[tex] y^2 = \dfrac{x - 7}{6} [/tex]

[tex] y = \pm \sqrt{\dfrac{x - 7}{6}} [/tex]

Proportionately, the total jelly beans in the world will be 115,703,826.

A proportion refers to a fraction of a whole.

A proportion is a ratio or a number relationship between two or more values or variables.

The proportion of a whole value can be represented as a fraction, decimal, or percent.

Red jelly beans in the world = 1/3

And 1/3 = 38,567,942

1/1 = 115,703,826 (38,567,942/1/3)

Thus, if 1/3 of the jelly beans in the world is 38,567,942, then the whole jelly beans will be 115,703,826.

Thus, proportionately, the total jelly beans in the world will be 115,703,826 because 1/3 of 115,703,826 is 38,567,942.

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The area of the polygon is 12 square units.  In mathematics and everyday life, an estimate is an approximate calculation or guess that is close to the actual value but may not be exact.

To make an estimate or guess, you can square off the parallelogram and create a rectangle and add your squares (or multiply 3x4) to = 12": This part explains a method for estimating the area of a parallelogram. It suggests that if you take a parallelogram and "square it off" (convert it into a rectangle by drawing a perpendicular line), you can then find the area of the rectangle, which is easier to calculate. In this case, the dimensions of the rectangle are given as 3 units for the base and 4 units for the height, and the estimated area is 12 square units.

You can use the formula for the exact area using base x height (3x4) you get the same answer of 12 square units": This part emphasizes that the estimation method used in step 2 (multiplying 3 by 4) produces the same result as the exact formula for finding the area of a parallelogram, which is base times height. In this case, both the estimation and the formula give an area of 12 square units.

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The missing value from the table is 4.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.

In order to determine the missing number, we first have to determine the rate of change of the number of drummers.

Rate of change:

4 - 3 = 1

2 -1 = 1

3 - 2 = 1

So, the rate of change is 1. Thus, the missing number : 3 + 1 = 4

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Answer: missing value is 5

Step-by-step explanation:

FALSE

To calculate the perimeter of a triangle, add the length of its sides. For example, if the sides of a triangle are a, b, and c, the perimeter of the triangle is P = a + b + c.

Since all three sides of the triangle are the same length, you can multiply the length of each side by 3 to get the perimeter.

To find the circumference of a circle, multiply the diameter of the circle by π (pi). The circumference can also be calculated by multiplying 2 x radius by pi (π = 3.14).

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Answer:

==================

y = 3x² - 12x + 7 =

     3(x² - 4x) + 7 =                                  Factor out 3

     3(x² - 4x + 4) - 3*4 + 7 =                   Complete the square

     3(x - 2)² - 5                                       Simplify

Answer:

  y = 3(x -2)² -5

Step-by-step explanation:

It looks like you want to write the standard-form quadratic ...

  y = 3x² -12x +7

in vertex form.

The process is similar to that of "completing the square."

Factor out the leading coefficient

Do this for the variable terms only.

  y = 3(x² -4x) +7

Identify the x-term coefficient

The x-term coefficient (inside parentheses) divided by 2 is the opposite of the x-coordinate of the vertex. It is the constant term in the squared binomial of the vertex form. Square this value.

  x coefficient: -4

  binomial constant: -4/2 = -2

  square of this: (-2)² = 4

Add this inside parentheses

To keep the overall equation unchanged, you must also subtract an equal amount outside parentheses.

  y = 3(x² -4x +4) +7 -3(4)

Simplify to vertex form

Write the trinomial in parentheses as a square, and simplify the y-coordinate of the vertex.

  y = 3(x -2)² -5

Answer:

59

Step-by-step explanation:

Angle degrees in a triangle add up to 180

66+55+x=180

121+x=180

x=59

Answer

59°

Step-by-step explanation:

A triangle's angles add up to 180°.

So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:

66° + 55° = 121°

180° - 121° = 59°

Answer:

Step-by-step explanation:

Cylinder volume formula:

Given:

The first cylinder, has base radius - r and height - h. Its volume is:

The second cylinder has:

Its volume is:

Substitute the value of the first cylinder:

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."  

The general form an arithmetic sequence is:

       [tex]a_{n} = a_{1} + (n- 1) d[/tex]

So, the statement provided is True.

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The expression θ = - 50° ± i · 360°, [tex]i \in \mathbb{N}_{O}[/tex] represents the family of all angles coterminal with - 50° angle.

Two angles are coterminal if and only if their end have the same direction. Two consecutive coterminal angles have a difference of 360°. Then, we can derive an expression representing the family of all angles coterminal to - 50° angle.

θ = - 50° ± i · 360°, [tex]i \in \mathbb{N}_{O}[/tex]

The expression θ = - 50° ± i · 360°, [tex]i \in \mathbb{N}_{O}[/tex] represents the family of all angles coterminal with - 50° angle.

The statement is incomplete and complete form cannot be reconstructed. Thus, we modify the statement to determine the family of angles coterminal to - 50° angle.

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The price that must be charged for a 1-hour tutoring session to produce this amount of revenue is 24.5 dollars

The first thing to do with word problem is to understand the question. After that, make analysis of the question.

It is given that a A private tutoring company charges $20 for a 1-hour session. Currently, 300 students are each tutored for an hour each week. Since the company is losing money, the owner has decided to increase the price. For each 50¢ increase, That is $20.5 for each students.

If she estimates that 5 fewer students will participate, that is, 295 students, and the company needs to bring in $6,210 per week to stay in business.

Let us assume that 1 hour per day. And there are 7 days in a week.

Divide the money by 7 to know the value per day

6210/7 = 887.14

Now, divide the amount per day by 250 students to know the amount per student per hour

887.14/295 = 3.007

The price that must be charged for a 1-hour tutoring session to produce this amount of revenue should be 20.5 + 4 = 24.5 dollars

Therefore, each student will pay $24.5 per hour

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The expression which is equivalent to 8x²√375x + 2³√3x^7 if x = 0 is; 0.

According to the task content, the expression given is; 8x²√375x + 2³√3x^7.

On this note, it follows that when x=0 is substituted into the expression; the evaluation amounts to zero, 0.

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