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Rudik [331]
3 years ago
9

The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is -3. What is the coefficient of the squared ter

m in the parabola's equation?A.-1B.-5C.1D.5
Mathematics
1 answer:
attashe74 [19]3 years ago
7 0

Answer:

a = 1/25

Step-by-step explanation:

The vertex form of the parabola is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a(x-2)^2 -4

We have a point on the parabola (-3,-3) so substitute this into the equation

-3 = a(-3-2)^2 -4

-3 = a(-5)^2 -4

Add 4 to each side

-3+4 = a(25) +4-4

1 = 25a

Divide each side by 25

1/25 = a

y = 1/25(x-2)^2 -4

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Answer:

y=3x

Step-by-step explanation:

-6/-2=3, -3/-1=3, 3/1=3. 6/2=3

7 0
3 years ago
Is the following expression true or false? Show your work.
Paul [167]

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

(x-4)2   =    x^2-8x+16  

(x^2-16)2   =    x^4-32x^2+256

(x^2+8x+16)  (x^2-8x+16  ) -  (x^4-32x^2+256 )

0 = 0

Hence True

3 0
3 years ago
What is the missing number in the sentence below?
Karolina [17]
The correct answer is A: 3. This is because...
3 * 4 = 12
12 * 5 = 60
Therefore, the answer is 60.
3 0
3 years ago
If there are 75 people at a movie and 36% of them are men, how many men are at the movie?
Musya8 [376]

75 * .36 = 27 men

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


8 0
3 years ago
You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surroun
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A.
the area of a polygon is/
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
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B. 100*7.95 = $795

C.
60*100= 6,000
6,000 * $7.95=
<span>$47,520</span>
5 0
3 years ago
Read 2 more answers
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