A parabola has a vertex of (5,4) and goes through the point (6,-10)

1 answer:

5 0

Y = -2(x-5)^2 + 4

Note: vertex form is 0, f(x), y, or nothing= a(x-h)^2 + k
The opposite of the x value of the vertex is h
The y value value of the vertex is k.

Find a. Plug in (6,-10)

-10 = a(6-5)^2 + 4
-10 = 1a + 4
-10 = 5a
a = -2

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ASHA 777 [7]

I'm so sorry for the late answer!

(a) Rectangular container
There are 3 pairs of congruent sides. Each side's area can be solved by multiplying either 12, 8, or 3. Then because for each side, there is another side that is exactly the same, we can multiply by 2.
(2*12*8) + (2*12*3) + (2*8*3) = 312

(b) Surface Area of a cylinder is $2 \pi r^{2} +2 \pi rh$
We know that r is 2 and that the whole expression is equal to 312.
Plug 2 back into the equation and set it equal to 312.
$2 \pi *4+2 \pi *2h = 312 \\ 4 \pi *h = 312-8 \pi \\ h = \frac{312-8 \pi }{4 \pi } = 23$
The height of the cylinder has to be around 23 inches.

4 0

3 years ago

Courtney wants to make a circular tablecloth for the kid's table at Thanksgiving dinner. If the tablecloth must have a diameter

n200080 [17]

Answer:

24 square feet

Step-by-step explanation:

Please see the attached picture for full solution.

*Since 23.758 is greater than 23.5, we would have to round up the number to 24. Thus, the most suitable answer is 24 ft² and not 23 ft².