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3 years ago

F(x)=x^2. What is g(x)

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

$g(x) = \frac14x^2$

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

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Order the numbers from greatest to least. 6.057, 6.125,6.38, 6.01, 6.03 , 6.57

Sergio039 [100]

Answer:

6.57, 6.38, 6.125, 6.057, 6.03, 6.01

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3 years ago

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Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and

Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is $\frac{\sqrt{70}}{2}\ cm$

The length of the rectangle is $2\sqrt{70}\ cm$

Part b) Approximately values

The width of the rectangle is $4.2\ cm$

The length of the rectangle is $16.7\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

$A=LW$

we have

$L=4x\ cm\\W=x\ cm$

substitute the values in the formula

$A=4x(x)$

$A=4x^2$

$A=70\ cm^2$

$70=4x^2$

Solve for x

Divide by 4 both sides

$\frac{70}{4}=x^2$

square root both sides

$x=(+/-)\frac{\sqrt{70}}{2}$

The solution is the positive value

$x=\frac{\sqrt{70}}{2}$

therefore

Exactly values

$L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm$

Approximately values

$L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm$

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3 years ago

If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?

siniylev [52]

Answer:

u=2s

Step-by-step explanation:

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3 years ago

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Ksenya-84 [330]

Answer:

90°

Step-by-step explanation:

since PQ is the diameter of the circle, m L PRQ = ½ × 180° = 90°.

so, as a supplementary to L PRQ, the value of angle QRS = 180 - m L PRQ = 180-90 =90°

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3 years ago