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3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

Answer:

3x+45=180

3x=180-45

3x=135

x=45

Step-by-step explanation:

atroni [7]3 years ago

3 0

Use the equation:
180=2x+45+x
180=3x+45 (combine like terms)
135=3x (subtract 45 from both sides)
45=x (divide both sides by 3)

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

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Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

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We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

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Step-by-step explanation:

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