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3 years ago

A quarter circle is attached to the side of a square as shown.

Mathematics

1 answer:

aleksklad [387]3 years ago

3 0

First you find the area of the square which is 8²=64 than you find the area of a circle using the formula πr² you get 201.06 and divide it by 4 because you only need the quarter and you get 50.26 the last step is to add the two areas together and you get 64+50.26=114.2

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Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

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3 years ago

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Ulleksa [173]

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2 years ago

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Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs just outside of their towns

iVinArrow [24]

Answer:

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Step-by-step explanation:

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What is the constant rate of change of (5,80) (4,64) and (6,96)

sveticcg [70]

Answer:

Step-by-step explanation:

The existence of the constant rate of change is given the ratio of y to x is the same. Then:

$k_{1} = \frac{80}{5}$

$k_{1} = 16$

$k_{2} = \frac{64}{4}$

$k_{2} = 16$

$k_{3} = \frac{96}{6}$

$k_{3} = 16$

In consequence, the constant rate of change is 16.

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Carla has already written 10 pages of a novel. she plans to write 15 additional pages per month until she is finished. write and

grin007 [14]

Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.

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3 years ago