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katovenus [111]
2 years ago
7

The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.​

Mathematics
1 answer:
finlep [7]2 years ago
7 0

9514 1404 393

Answer:

  y = -1/12x² +2

Step-by-step explanation:

For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...

  y=\dfrac{1}{4p}(x-h)^2+k

Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...

  \boxed{y=-\dfrac{1}{12}x^2+2}

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Write and equation parrallel to y=-5/2x+9 that passes through the <br> point (-6,7).
Black_prince [1.1K]
To be parallel, gradients are the same!
so the gradient is -5/2.
y=-5/2x +c
substitute the points youve been givrn into this to find c!
7=-5/2 (-6) +c
7=15 +c
c must equal -7
y=-5/2x -7
4 0
3 years ago
The pink paper for the book Giver
Leni [432]
I think its the promise to not share it with anyone idk
4 0
3 years ago
If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many diff
sp2606 [1]

The different ways can a student check off one answer to each question is 1024.

It is required to find the different ways can a student check off one answer to each question.

<h3>What is probability?</h3>

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,

,To find  how many different ways can a student check off one answer to each question we have,

: 4^5 = 2^10

= 1024

Therefore, the different ways can a student check off one answer to each question is 1024.

Learn more about probability here:

brainly.com/question/11234923

#SPJ4

5 0
1 year ago
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, i
Zina [86]

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

<em>200 * 3.78 is the same as 2 * 378, which is 756.</em>

756 - (200 * 2)

<em>200 * 2 is the same as 4 * 100, which is 400.</em>

756 - 400

<em>Subtract 400 from 756 to get 356.</em>

356

If they brought the pizza last week, the school could have saved $356.

3 0
3 years ago
Devaughn is 8 years older than Sydney. The sum of their ages is 64. What is Sydney's age?
Zigmanuir [339]

Answer:

Sydney's age is 28

Step-by-step explanation:

Let Devaughn be D

And Sydney be S

D=S+8..... equation 1

D+S=64...... equation 2

Substitute equation 1 to equation 2

S+8+S=64

2S+8=64

2S=64-8

2S=56

S=56/2

S=28

Hope it helps

Good luck

8 0
3 years ago
Read 2 more answers
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