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Anarel [89]
3 years ago
15

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

- 3(x + 4) {}^{2}  - 4

Step-by-step explanation:

Vertex form is

a(x - h) {}^{2}  + k = f(x)

We know that h and k are both -4. Let x be -2 and y be -16.

a( - 2  + 4) {}^{2}   - 4 =  - 16

a(2) {}^{2}  - 4 =  - 16

4a - 4 =  - 16

4a =  - 12

a =  - 3

So the equation in vertex form is

- 3(x  + 4) {}^{2}  - 4

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Find the 84th term of the arithmetic sequence −27,−12,3
jarptica [38.1K]
Aritmetic has a common difference
-27 to -12 is a difference of 15
-12 to 3 is a difference of 15

an=a1+d(n-1)
a1=first term
d=common difference

fist term is -27
common difference is 15

an=-27+15(n-1)
84th term is n=84
a84=-27+15(84-1)
a84=-27+15(83)
a84=-27+1245
a84=1218

the 84th term is 1218
6 0
3 years ago
Read 2 more answers
The drama clue is showing a video of their recent play. The first showing begins at 1:30 p.m. The second showing is scheduled at
OLga [1]
-----------------------------------------------
Given information
-----------------------------------------------
First showing : 1.30pm
Second showing : 4.15 pm
Inbetween : 1/2 hour break

-----------------------------------------------
Find the time the first showing ends
-----------------------------------------------
1/2 hours before 4.15pm
⇒ 30 mins before 4.15pm
⇒ 3.45pm

-----------------------------------------------
Calculate the duration of the firs show
-----------------------------------------------
1.30pm to 3.30pm = 2 hours
3.30pm to 3.45pm = 15 mins
Total duration = 2 hours 15 mins

-----------------------------------------------
Answer: 2 hours 15 mins
-----------------------------------------------
7 0
3 years ago
If the theory of purchasing power parity holds, how much does a pair of shoes made in Hong Kong cost in the United States if the
horsena [70]

The price of the shoe pair in us dollars will be $50. The correct option is C.

<h3>What is unit conversion?</h3>

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

It is given that shoes sell for 400 Hong Kong dollars in Hong Kong and the exchange rate is $0.125 per Hong Kong dollar. The cost of the same shoes in the united states will be calculated as below:-

Cost of shoes in the US = Cost in Hongkong x Exchange rate

Cost of shoes in the US = 400 x 0.125

Cost of shoes in the US = $50

Therefore, the price of the shoe pair in us dollars will be $50. The correct option is C.

To know more about unit conversion follow

brainly.com/question/8426032

#SPJ1

6 0
2 years ago
Find the length of the hypotenuse in the triangle
tigry1 [53]

Answer:

it's 9.5 ft.............................

6 0
3 years ago
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 f
Mashutka [201]

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

7 0
3 years ago
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