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inessss [21]
3 years ago
12

Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.

Mathematics
1 answer:
quester [9]3 years ago
8 0
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
equation of the parabola is

y+1 = (5/9)(x+1)
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Write quadratic equation whose roots are 1 and -3 and whose leading coefficient is 4
Mila [183]

Answer:

4x^2 + 8x - 12 = 0.

Step-by-step explanation:

We first write it in factor form.

4(x - 1)(x + 3) = 0

4(x^2 + 2x - 3) = 0

4x^2 + 8x - 12 = 0 (answer).

3 0
3 years ago
Read 2 more answers
How many periods of time, each 1/3 of an hour long, does,a 8- hour period of time represent
Sloan [31]

1/3 of an hour = 20 minutes

8 hours = 480 minutes

So to find the number of periods we divide 480 by 20. Answer is 24

4 0
3 years ago
A box of oatmeal has the shape of a cylinder. The box is 7 inches high and has a radius of 2 inches. What is the volume of the b
ICE Princess25 [194]

Answer:

87.96

Step-by-step explanation:

The formula for a cylinder. (Well to find the volume anyway) Is

V = V = \pi r^2

Plug in your values and you will get the answer 87.96.

5 0
3 years ago
Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...
Ugo [173]

Answer:

a_6_3=371

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

-1,5,11,...

Let

a_1=-1\\a_2=5\\a_3=11

a_2-a_1=5-(-1)=5+1=6

a_3-a_2=11-5=6

The common difference is d=6

We can write an Arithmetic Sequence as a rule

a_n=a_1+d(n-1)

where

a_n is the nth term                

d is the common difference

a_1 is the first term

n is the number of terms

Find the 63rd term of the arithmetic sequence

we have

n=63\\d=6\\a_1=-1

substitute

a_6_3=-1+6(63-1)

a_6_3=-1+6(62)

a_6_3=-1+372

a_6_3=371

6 0
3 years ago
X/2.1 = -1.8<br><br> Show your work and check it (write it out plz)
Lerok [7]
X = -1.8 * 2.1
x = 3.78

don't know how i can write it longer
7 0
3 years ago
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