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kumpel [21]
3 years ago
15

Choose the equation below that represents the line that passes through the point (7,2) and has a slope of -3

Mathematics
2 answers:
denis23 [38]3 years ago
7 0

The equation of the line that passes through the point (7,2) with a slope of -3  is  y = -3x + 23

<u>Solution:</u>

We need to find the equation for a line that passes through the point (7,2) and has a slope of -3.

Let us use slope-intercept form to find equation of line

The equation of line in slope intercept form is given as:

y = mx + b  --- eqn 1

where "m" is the slope of line and "b" is the y-intercept

Here in this sum, given that slope "m" = -3

Given point is (x, y) = (7, 2)

Plug the given values in eqn 1 to find "b" :

2 = -3(7) + b

2 = -21 + b

b = 23

Now plug "b" and "m" values in eqn 1 to get the equation of line

y = -3x + 23

This is the required equation of line found using slope intercept form

True [87]3 years ago
4 0

Answer: y = - 3 + 2x

Step-by-step explanation:

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PLEASE HELP!!!!!!!!<br> also, show all work<br> Thank you:)
barxatty [35]

Problem 1

<h3>Answer:  104 cubic inches</h3>

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Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

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

Problem 2

<h3>Answer:  650 square inches</h3>

----------------------

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

4 0
2 years ago
What is an inverse statement
shusha [124]

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1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc

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4 | noun | a nonverbal message

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4 years ago
What is the slope of(20, 8) (19, 10)
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Answer:

$75,000

Step-by-step explanation:

Let

x ----> amount lent for product X

y ---->amount lent for product Y

we know that

A bank lent $200,500 for the development of two products

so

x+y=200,500 ----> equation A

The loan for product X was for $50,500 more than that for product Y

so

x=y+50,500 ----> equation B

substitute equation B in equation A

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8 0
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