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3 years ago

Which of the following represents a function that is reflected over the x-axis and shifted up 3

Mathematics

1 answer:

Travka [436]3 years ago

7 0

Answer:

Option 2.

Step-by-step explanation:

f(x) = - x^2 + 3

The parent function is x^2

- the '-' before the x^2 reflects it in the x-axis, and the + 3 shifts it up 3 units.

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Marrrta [24]

Answer:

7.8

Step-by-step explanation:

5 0

3 years ago

if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.

Marrrta [24]

Answer:

$\large\boxed{H=135\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

$V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

$\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm$

7 0

3 years ago

Laura paid $200 for an item that was originally priced at $460. What percent of the original price did Laura pay? Round your ans

Ad libitum [116K]

Answer: 43.5%

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Given: AB ∥ DC

RSB [31]

Answer:

$A=1,720.16\ units^2$

Step-by-step explanation:

we know that

The area of the trapezoid is equal to

$A=\frac{1}{2}(DC+AB)DE$

step 1

Find the measure of angle DAE

m∠ADC+m∠DAE=180° -----> by consecutive interior angles

we have

m∠ADC = 134°

substitute

134°+m∠DAE=180°

m∠DAE=180°-134°=46°

step 2

In the right triangle ADE

Find the length side AE

cos(∠DAE)=AE/AD

$AE=cos(46\°)(40)\\AE=27.79\ units$

step 3

In the right triangle ADE

Find the length side DE

sin(∠DAE)=DE/AD

$DE=sin(46\°)(40)\\DE=28.77\ units$

step 4

Find the area of ABCD

$A=\frac{1}{2}(DC+AB)DE$

we have

$DC=32\ units\\AB=DC+2(AE)=32+2(27.79)=87.58\ units\\DE=28.77\ units$

substitute

$A=\frac{1}{2}(32+87.58)28.77$

$A=1,720.16\ units^2$

5 0

3 years ago

The two rectangular prisms shown have bases with the same area. Which statement is true?

larisa [96]

Answer:

Answer is B

Step-by-step explanation:

I took the test

8 0

3 years ago