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Sunny_sXe [5.5K]
3 years ago
7

A line passes through the points (-7, -2) and (2, 7). What is its equation in slope-intercept form?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

y = x + 5

Step-by-step explanation:

The line passes through points (-7,-2) and (2,7)

Slope of the line = change in y ÷ change in x = \frac{7 - -2}{2 - -7} = 1

Taking another point (x,y) on the line;

Slope = \frac{y - 7}{x - 2} = 1

Cross multiplying this gives;

y - 7 = x - 2

y = x + 5

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4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
vaieri [72.5K]

Answer:

The value of x is 2

Step-by-step explanation:

Diameter = 2r -------------------------------------------------------------------(1)

where r is the radius

The value of the diameter = 32 m   and  radius is given to be 4(x+2)

substitute the above into equation (1)   and then solve for x

32  =  2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8  = 8x/8

2 = x

x = 2

Therefore, the value of x is 2

3 0
3 years ago
What is the least possible degree of a polynomial that has the root -3 + 2i, and a repeated root -2 that occurs twice?
Anettt [7]
Hello,

Roots are -3+2i,-3-2i,-2 and -2

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4.

4 0
3 years ago
The last answer is D. 15 meters
Lapatulllka [165]
5^2 +12^2= diagonal^2
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4 0
4 years ago
Find the slope of the line represented by the table of values.
gladu [14]

Answer:

B) −1/4


Step-by-step explanation:

The slope represents the change in y values divided by the change in x values.  We can use the formula

slope = (y2-y1)/(x2-x1)

(2,4)  (-2,5)

slope = (5-4)/(-2-2)

        = 1/-4

slope = -1/4

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Step-by-step explanation:

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