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3 years ago

The equation below describes a parabola. If a is positive, which way does the parabola open? x = ay2

1 answer:

4 0

One of the best way to solve these kinds of questions is to draw 3-4 points and than conclude from that how graph will go.

Because this function is f(y) (x depends on y) you randomly take several y values and calculate x for them and those are your pairs of coordinates of several points.

y = 0
x = 0

y = 1
x = a

y = -1
x = a

y = 2
x = 4a

y = -2
x = 4a

So if you draw these points on graph you will see it opens in positive direction of x axis.

You might be interested in

Complete the paragraph proof. We are given that ∠B ≅ ∠C. Assume segment AB is not congruent to . If AB > AC, then m∠C > m∠

Lorico [155]

Given that ∠B ≅ ∠C.

to prove that the sides AB = AC

This can be done by the method of contradiction.

If possible let AB $\neq$ =AC

Then either AB>AC or AB<AC

Case i: If AB>AC, then by triangle axiom, Angle C > angle B.

But since angle C = angle B, we get AB cannot be greater than AC

Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.

But since angle C = angle B, we get AB cannot be less than AC

Conclusion:

Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC

Hence if angle B = angle C it follows that

AB = AC, and AB ≅ AC.

6 0

3 years ago

Read 2 more answers

Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack

prohojiy [21]

18-4.25=13.75$ she has. 13.75-9.75=4$ she can spend. 4$/0.50=8 packages she can buy

3 0

3 years ago

9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?

ZanzabumX [31]

<h3>Answer: 17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

=========================================================

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

-------------

Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

6 0

3 years ago

What is the surface area of the pyramid?

-Dominant- [34]

Answer:

166 square units

Step-by-step explanation:

Let’s find the area of the shapes that in the net.

First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get 26.

Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=60. Since there are two triangles, we multiply 60 by 2 and get 120.

Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=20.

Last, we add up all the areas:

20+120+26=166.