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2 years ago

Can someone please help me!!

Mathematics

1 answer:

Vladimir [108]2 years ago

8 0

Answer:

#18) m∠B = 107°

#19) m∠B = 17°

Step-by-step explanation:

*Supplementary angles are angles who's measures equal 180°

*Complementary angles are angles who's measures equal 90°

#18) If ∠A is 73°, then we must subtract 73 from 180.

180 - 73 = 107

This means that m∠B = 107°.

#19) If ∠A is 73°, then we must subtract 73 from 90.

90 - 73 = 17

This means that m∠B = 17°.

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

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3 years ago

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Answer:

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Step-by-step explanation:

We can use a ratio to solve

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Using cross products

6x =3

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6x/6 = 3/6

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1 roll will solve 1/2 person

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3 years ago

We’ve built a machine that follows these instructions:

DaniilM [7]

Hm
10 + 4 x 2 - 3
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2 years ago

Noel has rowing lessons every 5 days and guitar lessons every 6 days. If he had both lessons on the last day of the previous mon

bixtya [17]

Answer:

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3 years ago

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miskamm [114]

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3 years ago

Read 2 more answers