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liberstina [14]
3 years ago
9

Find the vertex form of a parabola with a vertex of (-2, 12) that passes through (-4, 0)

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

Answer:

y = - 3(x + 2)² + 12

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, 12), thus

y = a(x + 2)² + 12

To find a substitute (- 4, 0) into the equation

0 = a(- 2)² + 12, that is

4a + 12 = 0 ( subtract 12 from both sides )

4a = - 12 ( divide both sides by 4 )

a = - 3

y = - 3(x + 2)² + 12 ← equation in vertex form

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PLEASE HURRYYYYYYYYYY!!!!!!!!<br><br><br> In OD, AB = CB and marc CE - 52. Find mZBCE. (See picture)
frozen [14]

Answer:

A. 109

Step-by-step explanation:

We know that since AB = CB, then ΔABC is isosceles.

Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.

Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.

∠BCE = ∠DCB + ∠BCA

∠BCE = 64 + 45 = 109°

The answer is thus A.

<em>~ an aesthetics lover</em>

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3 years ago
I really need this ASAP! what is 14 2/7 as a fraction
nlexa [21]
Multiply 14 by the denominator of the fraction.

14 • 7 = 98

Then add it to the numerator.

98 + 2 = 100

Your answer is 100/7
8 0
3 years ago
I HAVE30 min left help
frez [133]

Answer:

I think 10.5 would be the unit price and 10lbs of potatoes and 2lbs of tomatoes would cost less

Step-by-step explanation:

since tomatoes cost 2 times more I decided to act as he only bought potatoes and in that case he would have bought 22lbs of potatoes so I divided 16.50 by 22 and got .75 then I multiplied it by 10 and got 7.5 as well as multiplied .75 by two to get the price of the tomatoes then I added 7.5+3 to get 10.5

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3 years ago
Write y=1/6x+7 in standard form using integers
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The standard form using integers of the equation is 6y - x = 42

<h3>How to determine the standard form</h3>

Note that solving in standard form means writing it as a simple equation

Given y = 1/6x + 7

Find the LCM of the right side, we have

y = \frac{x + 42}{6}

Cross multiply

6 × y = x + 42

6y = x + 42

Make the variables move to the left side

6y - x = 42

Thus, the standard form using integers of the equation is 6y - x = 42

Learn more about algebraic expressions here:

brainly.com/question/723406

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2 years ago
Help!!!!!?!!!!!!!?!!?!!!!
Andreas93 [3]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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