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4 years ago

G(x)=-x^2-1-2x f(x)= x+5 Find (g-f)(x)

Mathematics

1 answer:

sertanlavr [38]4 years ago

4 0

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Which of the following shows 7.538 correctly rounded to the ones place?

kvv77 [185]

It would be B. 8
Since ones place is 8.000 and 7.538 can be rounded up to 8

6 0

3 years ago

What is an equation for the line that passes through the coordinates (2,0) and (0,3)

V125BC [204]

(3-0)/(0-2) = 3/-2 slope
Y intercept = 3
The equation: y = -3/2x + 3

6 0

3 years ago

17 a) Find the nth term of the arithmetic sequence 1,11,21,31,41.... b) Find the 100th term.

Citrus2011 [14]

Step-by-step explanation:

use the formula a+(n-1)d

a=(first value in sequence)=1

n=100(the term you are finding)

d=(difference)(it is increasing by 10

substitute the value in the formula

1+(100-1)10

100th term=991

4 0

3 years ago

Which ratio is equal to p:a? a:r p:b r:c q:c

rewona [7]

Answer:

I am not completely sure, but i think that it is the second one

Step-by-step explanation:

3 0

3 years ago

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