The value of a will be 0.125. Then the value of a is positive then the parabola will be upward.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
A parabola opening up or down has vertex (0,-4) and passes through (-12,14).
The equation of the parabola is given as
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
(h, k) = (0, -4)
Then the equation of the parabola will be
y = a(x)² - 4
The parabola is passing through (-12, 14). Then the value of a will be
14 = a(-12)² - 4
14 = 144a - 4
144a = 18
a = 1/8
a = 0.125
Then the equation of the parabola will be
y = 0.125x² - 4
If the value of a is positive then the parabola will be upward.
More about the parabola link is given below.
brainly.com/question/8495504
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<span>−13b=9
divide both sides by -13
</span><span>−13b/-13 =9/-13
simplify
b = -9/13</span>
Answer:
<u>The correct answer is D. h(x) = 7x – 4x2 – 11x – 17</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
f(x) = 7x – 8x – 2
g(x) = 4x2 + 3x + 15
2. Which of the following answers shows the difference in the amounts of water released, h(x) = f(x) – g(x)?
h(x) = f(x) - g(x)
h(x) = 7x – 8x – 2 - (4x2 + 3x + 15)
h(x) = 7x – 8x – 2 - 4x2 - 3x - 15
h(x) = 7x – 11x – 17 - 4x2
<u>The correct answer is D. h(x) = 7x – 4x2 – 11x – 17</u>
A. No, the corresponding angles are not congruent.
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Answer:
1.) x = 14.96ft
2.) The shorter leg is 6 meters
Step-by-step explanation:
1.) a^2 + b^2 = c^2
- a and b = legs of the triangle
- c = hypotenuse the longest side
15ft^2 + x^2 = (2x +1)^2
- 225 = 2x^2 + 1 - x^2
- 225 = x^2 + 1
- 225 - 1 = x^2 +1 - 1
- √224 = √x^2
- x = 14.9662...
2.) Longer leg a = x+2, shorter leg b = x, Hyp. c= 2x-2
Equation:
Solve:
- (x+2)(x+2) + x^2 = (2x-2)(2x-2)
- x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
- -2x^2 + 12x = 0
- 2x (-x + 6) = 0
Answers:
- 2x = 0
- -x + 6 = 0
- <u>x=0 -or- x=6</u>
<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>
<u>B=6</u>
Check:
- A = x + 2: A= 6 +2 = 8
- B= 6
- C = 2x -2: C= 2(6) -2 = 10
8^2 + 6^2 = 10^2