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nadya68 [22]
2 years ago
15

what is the slope of the line that passes through the points (-7, -4) and (-11, -2) write your answer in simplest form

Mathematics
1 answer:
Kamila [148]2 years ago
7 0

We can find slope m with this formula

m=\dfrac{\Delta{y}}{\Delta{x}}

Where \Delta{y}=y_2-y_1=-2-(-4)=2 and \Delta{x}=x_2-x_1=-11-(-7)=-4 thus

m=-\dfrac{2}{4}=\boxed{-\dfrac{1}{2}}

The slope of line is -1/2.

Hope this helps.

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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
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Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

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Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

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x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

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