Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)y = 10x
x = 10
x = y + 10
y = x + 10

Answers

Answer 1
Answer: Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)y = 10x
x = 10
x = y + 10
y = x + 10
The following equations that best represents the axis of symmetry for the parabola shown is x = 10. 
Answer 2
Answer:

Final answer:

The axis of symmetry follows the x = h format, where h is the x-value of the vertex. Of the given options, only the equation 'x = 10' fits this format, thus it represents the axis of symmetry for the asked parabola.

Explanation:

The equation that represents the axis of symmetry for a parabola follows the format x = h, where h is the x-value of the vertex of the parabola. In this case, our options are: y = 10x, x = 10, x = y + 10, and y = x + 10. Looking at these options, only the equation x = 10 follows the correct format for an axis of symmetry. Therefore, this equation represents the axis of symmetry for the given parabola.

Learn more about Axis of Symmetry here:

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Shown are lines p , r , t , and w. Suppose angles 8 and 10 are congruent. Given this fact, which two line must be congruent? Show all work to receive credit.

Answers

Answer:

  lines t and w must be parallel

Step-by-step explanation:

Angles 8 and 10 are alternate interior angles with respect to transversal r across lines t and w. If those angles are congruent, then lines t and w must be parallel.

An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top.

Answers

The volume of a sphere:
V=(4)/(3) \pi r^3
r - the radius

3392.92 cubic inches are poured into 30 spheres.
3392.92=30 * (4)/(3) \pi r^3 \n \n3392.92=40\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ |/ 40 \n \n84.823=\pi r^3  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |/ \pi \n \nr^3=(84.823)/(\pi) \n \nr=\sqrt[3]{(84.823)/(\pi)} \n \nr \approx \sqrt[3]{27} \n \nr \approx 3

The diameter is twice the radius.
The diameter of each sphere should be approximately 6 inches.

Answer:

6 inches

Step-by-step explanation:

correct on Plato/ edmentum courseware

Simplify 2x - 8x - 6y + 9 -14 + x + 11y.

Answers

So once you find the like terms your problem will look  like this:
(2x-8x+x)-(6y+11y)+(9-14)
so know you can simply simplify what is in your Parentheses and once that is done it is going to look like this:
(-5x)-(17y)+(-5)
now it looks like that so that would be your answer could you simplified all of the  like terms you can't do anything else to the problem!
So again your answer would look like:
(-5x)-(17y)+(-5)
~Good Luck~

= (b) Use your calculator to determine the exact value of 35.23 x 3.02 Exactly Correct to 2 decimal place

Answers

Answer:

The exact value is 106.40

Step-by-step explanation:

The exact value of the given operation obtained with the calculator is:

35.23 * 3.02 = 106.3946

The result expressed in 2 decimal places is:

106.3946 = 106.40  

Therefore, the exact value is 106.40

I hope it helps you!

If the number p is 20 more than the number q using algebra write the relationship between p and q

Answers

All you have to do is write the equation out showing what q equals.
q=p-20

4) A sequence is defined recursively by f(1) = 2and f(n) = 3f(n-1) + 1. Find the first three
terms of the sequence.

- How do I do this question and just Recursive Sequences in general?

Answers

S=[2,7,22,\dots].

Let me explain why.

f(1)=2 this is our first term.

f(2)=3f(2-1)+1=3f(1)+1=7 second term.

f(3)=3f(3-1)+1=3f(2)+1=22 third term.

...

Pretty simple huh?

Hope this helps.

Answer:

The first 3 terms are 2, 7, 22.

Step-by-step explanation:

The n is the sequence number of the term: f(1) means the first term.

The second term

f(2) = 3f(n - 1) + 1   We make n  = 2:

=  3f(2-1) + 1

=  3f(1) + 1        f(1) = 2 so:

=  3*2 + 1

=  7.

3rd term f(3)

= 3f(3 - 1) + 1

= 3f(2) + 1

=  3(7) + 1

= 22.