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3 years ago

The equation of a parabola is 18(y−5)2=x+3 .

1 answer:

6 0

<span>1/8(y−5)²=x+3
(y-5)² = 8(x+3)

The formula of parabola in standard form
(y-k)² = 4p(x-h), (h, k) - vertex, (h+p, k) focus
For our parabola
vertex (-3,5)
4p=8
p=2
This is a horizontal parabola because y².
So to find the coordinates of the focus we need to add to x coordinate of vertex.
</span>(-3+2, 5) = (-1,5) focus
Correct answer is (-1,5).<span>

</span>

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Each notebook contains 60 sheets of paper. Andre has 5 notebooks. If the equation is y=5x60 then what does y stand for?

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Answer:

y = the total sheets in all 5 notebooks

Step-by-step explanation:

5 = notebooks

60 = sheets

y = the total

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3 years ago

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Calculate the geometric mean of 2 and 200

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2 years ago

Solve this equation. 25) v - 6(4v + 6) = -82

grin007 [14]

Answer:

$v = 2$

Step-by-step explanation:

Hi there! I'm glad I was able to help you solve this equation!

Let's start by simplifying both sides of the equation. It's easier to solve it this way!

$v - 6 (4v + 6) = -82$

Distribute:

$v + (-6) (4v) + (-6) (6) = -82$

$v + -24v + -36 = -82$

Combine 'like' terms:

$(v -24v) + (-36) = -82$

$-23v - 36 = -82$

Next, you'll want to add 36 to both sides of the equation.

$-23v-36 + 36 = -82 + 36$

$-23v = -46$

Finally, divide both sides by $-23$ .

$\frac{-23v}{-23} = \frac{-46}{-23}$

$v = 2$

I hope this helped you! Leave a comment below if you have any further questions! :)

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3 years ago

Students were going to a play. The students who paid in advance only had to pay $32, but the students who paid at the door had t

Mnenie [13.5K]

Answer:

Step-by-step explanation:

SInce the students at the door had to pay twice as much as the students who payed in advance, you would do 32*2=64

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3 years ago

The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe

monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b. Dylan's proposed placement will light a greater area than Nikki's placement.

c. Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f. Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

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3 years ago