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Irina18 [472]
2 years ago
11

Write equation in Vertex Form with a Vertex of (5,-2)

Mathematics
1 answer:
Talja [164]2 years ago
8 0

Answer: h = 2

k = -5

y = a(x - h)2 + k

y = a(x - 2)2 - 5

Use the given point to find a.

-8 = a(5 - 2)2 - 5

-8 = 9a - 5

a = -1/3

y = (-1/3)(x - 2)2 - 5

Step-by-step explanation:

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The circular fountain in
denis-greek [22]

Answer:

59.1 feet

Step-by-step explanation:

The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.

C=2πr

C=2π(9.4)

C=18.8π feet  <-- this is the exact answer

<u>C=59.1 feet</u>

7 0
2 years ago
When a number is decreased by 4%, the result is 93. What is the original number
romanna [79]

Answer:

<u>The original number is 96.875</u>

Step-by-step explanation:

Let's find the original number using the Direct Rule of Three, this way:

       Percentage          Number

              100                       x

               96                       93

***********************************************

96x = 93 * 100

96x = 9,300

x = 9,300/96

x = 96.875

<u>The original number is 96.875</u>

7 0
3 years ago
A car traveled a certain distance at 20 miles per hour. The car then traveled
liubo4ka [24]

Answer:

80 I'm pretty sure

Step-by-step explanation:

8 0
3 years ago
There are 4 Board of Directors positions open. 2 will be for men, 2 will be for women.
laiz [17]

Answer:

1980 total outcomes are possible.

Step-by-step explanation:

The order in which the candidates are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many total outcomes are possible?

2 men, from a set of 11.

2 women, from a set of 9.

So

T = C_{11,2}*C_{9,2} = \frac{11!}{2!9!}*\frac{9!}{2!7!} = 1980

1980 total outcomes are possible.

3 0
3 years ago
I need help on this ASAP!!!!!!<br><br> (image attached and it's find X)
klio [65]
1/3 * x square = 16
x square =16*3
x square =48
therefore x=4 under root 3
7 0
3 years ago
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