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BabaBlast [244]
2 years ago
5

Please helppp! I need help ASAP!

Mathematics
1 answer:
adoni [48]2 years ago
6 0

H is the answer.  All they are asking is for you to plug in different numbers for x in each equation and see what one works out.  H is the correct answer.

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Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

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

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

where \frac{1}{4a} is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

5 0
3 years ago
A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5 meters. What is its volume, in cubic meters
KiRa [710]

Answer:

240

Step-by-step explanation:

length x width x height

6 x 5 x 8

7 0
2 years ago
Read 2 more answers
Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T
lakkis [162]
Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12 
4D = 196   - divide both sides by 4
D=49
Therefore, Doug scored 49

7 0
3 years ago
Read 2 more answers
Solve equation 1/4=x^-1/2
Alex

Answer:

A. {16}

Step-by-step explanation:

1/4 = x^-1/2

We have the exponent rule a^-1 = 1/a^1

Applying the rule, we get

1/4 = 1/x^1/2

x^1/2 = √x

1/4 = 1/√x

Now let's cross multiplying, we get

√x  = 4

Taking square on both sides, we get

x = 16

The answer: A. {16}

Hope this will helpful.

Thank you.

3 0
3 years ago
Read 2 more answers
Samantha invited 30 friend to her birthday party. If 2 out of 3 friend invited came to the birthday party, how many friends came
lord [1]

Answer:

20 people

Step-by-step explanation:

4 0
2 years ago
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