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kari74 [83]
3 years ago
7

Help me solve these 2 questions that's shown in this picture

Mathematics
2 answers:
Mariana [72]3 years ago
8 0
I can't see the complete picture, but I know the #2 is either C or D. You simply get one of the expressions and multiply it by 2 (because of its opposite side.)
And once you've done that for both expressions, add that together and you have your answer. Hope that helped.
Svet_ta [14]3 years ago
3 0
1) You are basically factoring -4x - 24 by choosing the GCF of the two terms (-4x and -24). The GCF is -4. To figure out the terms inside of the parenthesis you need to divide both of the original terms (meaning -4x and -24) by 4. So -4x/-4 = x and -24 / -4 = 6. 
-4(x + 6) 

2) To find the perimeter of a rectangle we multiply the width and length each by 2 (P = 2W + 2L) 
Length = x + 13
Width = x 
P = 2(x) + 2(x + 13) 
P = 2x + 2x + 26
P = 4x + 26
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One-third of a number x is equal to 22 less than the number
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One-third of a number x is equal to 22 less than the number.

(1/3)x=x-22

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Two lines, A and B, are represented by equations given below: Line A: y = x − 4 Line B: y = 3x + 4 Which of the following shows
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(-4,-8) because it satisfies both equations
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Fawn ran a 5-kilometer race in 66 minutes. To the nearest hundredth, what was her speed in meters per second?
klio [65]

5 km = 5000 meters

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4 years ago
Write a variable expression for the amount of your budget after b books
wel
Because if let's say you have 400$ for the year, and each book cost 10$. So it would be written as 400-10b since the quantity of books must be multiplied times their cost to calculate whether you are within or outside the budget. 
8 0
3 years ago
a. Calculate the volume of the solid of revolution created by rotating the curve y = 3 + 3 exp(-5 x) about the x-axis, for x bet
miskamm [114]

Answer:

A) The volume of solid is 18π cubic unit.

B) The volume of sphere is \dfrac{4}{3}\pi r^3

    a = -r , b = r , f(x)=\sqrt{r^2-x^2} and V=\dfrac{4}{3}\pi r^3

Solution A)

The given curve, y=3+3e^{-5x} rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

Using disk method to find the volume rotation about x-axis

V=\int_a^b\pi R^2dx  

where, a = 2, b= 4 , R=y=3+3e^{-5x} and dx is thickness of disk.

V=\int_2^4\pi (3+3e^{-5x})^2dx

V=9\pi\int_2^4(1+e^{-10x}+2e^{-5x})dx

V=9\pi(x-\dfrac{1}{10}e^{-10x}-\dfrac{2}{5}e^{-5x})|_2^4)

V=9\pi(4-\dfrac{1}{10}e^{-40}-\dfrac{2}{5}e^{-20}-2+\dfrac{1}{10}e^{-20}-\dfrac{2}{5}e^{-10}))

V=9\pi (2-0)

V=18\pi

Hence, the volume of solid is 18π cubic unit

Solution B)

The equation of circle of radius r and centered at origin (0,0).

x^2+y^2=r^2

y=\sqrt{r^2-x^2}

The solid form is sphere of radius r.

Using disk method, to find volume of solid

V=\int_a^b\pi R^2dx  

where, a = -r, b = r , R=y=\sqrt{r^2-x^2} and dx is thickness of disk.

V=\int_{-r}^r\pi (r^2-x^2)dx

V=\pi(r^2x-\dfrac{x^3}{3})|_{-r}^r

V=\pi(2r^3-\dfrac{2r^3}{3})

V=\dfrac{4}{3}\pi r^3

Hence, the volume of sphere is \dfrac{4}{3}\pi r^3

4 0
4 years ago
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