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lidiya [134]
3 years ago
7

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

pt form
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

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The value of y is directly proportional to the value of x. Given y = 25 when x = 150.
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Which of the following is a composite number? <br><br> A. 63<br> B. 19<br> C. 1<br> D. 0
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The composite number is A.63. 1 is neither a prime or composite. 19 is a prime. 0 is a trick honestly, it isn't a prime or a composite
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Use the marked parallel lines to find the value of y in the diagram below (1 point)
Inessa [10]
2x + 5 = 3x - 45                    [alternate interior angles]
3x - 2x = 5 + 45
x = 50

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What kind of triangle is this?
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3 years ago
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What is the area of the rectangle? shoe your work! do not round anything until the very end and round your final answer to the t
weeeeeb [17]

Answer:

The area of the rectangle is 42 units^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

A=LW

In this problem

AB=DC

BC=AD

see the attached figure with letters to better understand the problem

we have that

L=BC\\W=AB

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the points

A(2,-1),B(5,2),C(12,-5),D(9,-8)

<em>Find out the distance BC</em>

we have

B(5,2),C(12,-5)

substitute in the formula

d=\sqrt{(-5-2)^{2}+(12-5)^{2}}

d=\sqrt{(-7)^{2}+(7)^{2}}

d_B_C=\sqrt{98}\ units

<em>Find out the distance AB</em>

we have

A(2,-1),B(5,2)

substitute in the formula

d=\sqrt{(2+1)^{2}+(5-2)^{2}}

d=\sqrt{(3)^{2}+(3)^{2}}

d_A_B=\sqrt{18}\ units

<em>Find out the area</em>

A=(L)(W)

we have

L=d_B_C=\sqrt{98}\ units

W=d_A_B=\sqrt{18}\ units

substitute

A=(\sqrt{98})(\sqrt{18})=42.0\ units^2

4 0
3 years ago
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