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ki77a [65]
2 years ago
11

Anyone? Can help !!!

Mathematics
1 answer:
il63 [147K]2 years ago
7 0

Answer:

C.g(x) = 5x²

Step-by-step explanation:

To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².

Substituting "x" and "y" into the equation tells you if a point is on the graph.

"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).

In f(x) = x², a = 1 even though it's not written.

<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.

g(x) = ax²    

y = ax²       In function notation, g(x) replaces the "y". Switch it back to "y".

5 = a(1)²     Substitute x = 1 and y = 5

5 = a(1)     Solve the exponent first. (1)² = 1

5 = a         When you multiply "a" by 1, the answer is just "a".

a = 5         Solved for "a". Put variable on left side for standard formatting.

With the quadratic form, substitute "a" into g(x).

y = ax²

g(x) = 5x²

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What is the value of x?
adelina 88 [10]

This is an equilateral triangle, which is a triangle that has 3 congruent/equal sides and 3 congruent angles.


To find "x", you can set the sides equal to each other because they are suppose to be the same length (you can just do two sides because all of the sides are the same)

[Side AB = Side BC]

4x - 10 = 3x + 2     Subtract 3x on both sides

x - 10 = 2         Add 10 on both sides

x = 12


[proof]

Side AB:

4x - 10    Plug in 12 for x

4(12) - 10 = 48 - 10 = 38


Side BC:

3x + 2     Plug in 12 for x

3(12) + 2 = 36 + 2 = 38


Side AC:

5x - 22      Plug in 12 for x

5(12) - 22 = 60 - 22 = 38




This is also an equilateral triangle (the tick marks show that the sides are the same)

A triangle is 180°. So the three angles add up to 180°.

Since this is an equilateral triangle, all the angles should be the same.

Each angle is 60°

[60° + 60° + 60° = 180°   or you could have divided 180 by 3 = 60]


Now that you know each angle is 60°, you can do:

(2x - 4)° = 60°

2x - 4 = 60    Add 4 on both sides

2x = 64    Divide 2 on both sides

x = 32


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