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Andreas93 [3]
3 years ago
12

Solve the equation x2 = 64 for x.

Mathematics
1 answer:
viva [34]3 years ago
7 0
To solve x in the equation <span>x2 = 64, we raise the whole equation to the reciprocal of the power of the variable present which means we raise it to a power of 1/2. 64 raised to 1/2 or square root of 64 is equal to positive 8 and negative 8. The solution set is {-8,8}</span>
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hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U ​
zzz [600]

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

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16y = x^2

y = (1/16)x^2

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<h3>Answer:  Choice D.  y = -(1/16)x^2</h3>

===============================================

Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

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Let's compute the x coordinate of the vertex h

h = -b/(2a)

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This h value is plugged into the original function to find k

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We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

<h3>Answer: Choice B.  (-1,1)</h3>
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Bad White [126]

Step-by-step explanation:

if a = 10

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