Mathematics: Determine if (-2,6) and (4,12) are solutions to the system of equations: y = x + 82y = x^2 + 8

Determine if (-2,6) and (4,12) are solutions to the

Ответ:

Issaking0131

13.01.2022

Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

(6) = (-2)+8 = 6

The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

2(6) = (-2)^2+8=4+8=12

The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

(12) = (4)+8 = 12

Step 4: Plug (4,12) into 2y=x^2 + 8

2(12) = (4)^2+8=16+8=24

The solution verifies both equations. Therefore, (4,12) is another solution to this system.

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Ответ:

haha81

20.02.2021

Mathematics

x = 28

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides the sides proportionally, that is

$\frac{AC}{CR}$ = $\frac{AD}{DR}$ , substitute values

$\frac{10}{x}$ = $\frac{15}{42}$ ( cross- multiply )

15x = 420 ( divide both sides by 15 )

x = 28

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Determine if (-2,6) and (4,12) are solutions to the system of equations:
y = x + 8
2y = x^2 + 8

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