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Juliette [100K]
3 years ago
15

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = \frac{-6-1}{x-4} = 1

m = \frac{-7}{x-4} = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A

myrzilka [38]3 years ago
4 0

Slope formula is m= (y2-y1)/(x2-x1)

We know that slope is 1. So,

(-6-1)/(x-4) = 1

Then solve for x

-6-1 = x-4

x-4 = -7

x= -7+4

x= -3

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Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
marishachu [46]

Answer:

A )  The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

(x-a)^{2} +(y-b)^{2} =r^{2}

(x-10)^{2}+(y-24)^{2}  =676

in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = \sqrt{g^{2}+f^{2} -c }

Step2:-

The Equation of the circle (x−10)^2+(y−24)^2=676

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3 years ago
Give the domain and range of the function. Tell whether the relation is a function.
ra1l [238]

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The range is [0,4], as the y-values span from 0 to 4.

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3 0
3 years ago
HELP PLEASE!
larisa86 [58]

Answer:

c

Step-by-step explanation:

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4 0
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If avogadro's number of pennies is divided equally among the 250. million men, women, and children in the united states, how man
Anastasy [175]

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6 0
3 years ago
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