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4 years ago

Please please help need help with D and E thank all

Mathematics

1 answer:

Julli [10]4 years ago

8 0

Which of the following sentences shows an example of parallel verbs?
A. Once the game was over, Jim had to run home and eat dinner.B. Once the game was over, Jim had to run home and dinner was ready.C. Once the game was over, Jim had to be running home and eat dinner.D. Once the game was over, Jim had to run home in order to eat his dinner.

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A dilation centered at the origin is applied to the line y = 3x + 5.

SOVA2 [1]

Answer:

"The question cannot be answered without knowing the scale factor."

Step-by-step explanation:

The complete question:

A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?

It is the same line.
It is another line parallel to y = 3x + 5.
The image is not a line.
The question cannot be answered without knowing the scale factor.

A dilation, center at origin, with a scale factor of "k", will have a rule:

(x,y) = (kx,ky)

This basically means that the image after dilation will have the points kx and ky respectively.

If k ≠ 1, this means the image is parallel to the line y = 3x + 5

If k = 1, this means the image is same, it coincides with the line y = 3x + 5

Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.

8 0

3 years ago

Read 2 more answers

What is the volume of the sphere below?

lbvjy [14]

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

4 0

3 years ago

What times what equals 120

Vikki [24]

10.95445115010332•10.95445115010332

5 0

4 years ago

I need help with number 7, and the second part of number 8. Thank you!

tangare [24]

Answer:

7. $\dfrac{\pi }{3},\ \pi ,\ \dfrac{5\pi }{3}$

8. b. $0,\ \dfrac{2\pi }{3},\ \pi,\ \dfrac{4\pi }{3}$

Step-by-step explanation:

7. Solve the equation

$\cos x+\cos 2x=0$

First, note that

$\cos 2x=2\cos^2x-1$

Hence,

$\cos x+2\cos ^2x-1=0$

Use substitution

$t=\cos x,$

then

$2t^2+t-1=0\\ \\D=1^2-4\cdot 2\cdot (-1)=1+8=9\\ \\\sqrt{D}=\sqrt{9}=3\\ \\t_{1,2}=\dfrac{-1\pm 3}{2\cdot 2}=-1,\ \dfrac{1}{2}$

Now,

$\cos x=-1\ \text{or}\ \cos x=\dfrac{1}{2}$

Solve each equation separately for $0\le x$

$\cos x=-1\\ \\x=\pi+2\pi k, \in Z\\ \\\text{only } x=\pi \in [0,2\pi)$

$\cos x=\dfrac{1}{2}\\ \\x=\pm\arccos \dfrac{1}{2}+2\pi k,\ k\in Z\\ \\x=\dfrac{\pi }{3}\ \text{and}\ x=\dfrac{5\pi }{3}$

8. b. Solve the equation

$\sin x+2\sin x\cos x=0$

Rewrite it:

$\sin x(1+2\cos x)=0$

By zero product property,

$\sin x=0\ \text{or}\ 1+2\cos x=0$

Solve each equation separately.

$\sin x=0\\ \\x=\pi k,\ k\in Z\\ \\\text{for}\ x\in [0,2\pi),\ \ \ \ x_1=0\ \ x_2=\pi$

$1+2\cos x=0\\ \\\cos x=-\dfrac{1}{2}\\ \\x=\pm \arccos \left(- \dfrac{1}{2}\right)+2\pi k,\ k\in Z\\ \\x=\dfrac{2\pi }{3}\ \text{and}\ x=\dfrac{4\pi }{3}$

5 0

4 years ago

Grandma put 1⁄6 teaspoon of pepper into the soup. After tasting the soup, she added 1⁄8 teaspoon of pepper. How much pepper is i

Sophie [7]

7/24 pepper is in the soup.

8 0

3 years ago

Read 2 more answers