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natita [175]
3 years ago
15

the vertex of this parabola is at (-3,-1). when the y-value is 0, the x-value is 4. what it the coefficient of the squared term

in the parabolas equation?

Mathematics
2 answers:
madreJ [45]3 years ago
7 0

Answer:

Fot this parabola the coefficient for squared term is 7

Step-by-step explanation:

The formula for vertex equation is:

x = a*(y-h)^{2}+k

if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values

x = a*(y - (-1))^{2} + (-3)

x = a*(y +1)^{2} -3

The other point of this parabola is (4,0), so we replace it in the formula below:

4 = a*(0 + 1)^{2} -3

4 = a*(1)-3

4 +3= a*(1)

a=7

Len [333]3 years ago
3 0
<span>1/49 = a
 have a great day.
 
</span>
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The coordinates of the preimage of polygon ABCD and the image ofA'B'C'D' are given below. What rule describes the transformation
I am Lyosha [343]

The coordinates of polygon ABCD are:

A(4,3) B(4,0) C(-1, 1) D(-1, 4)

and

The coordinates of the transformed polygon A'B'C'D' are:

A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)

To understand the transformed rule, just remove the coordinates of the actual polygon from the transformed polygon.

A' - A = (1, 1) - (4, 3) = (1 - 4, 1 - 3) = (-3, -2)

Similarly,

B' - B = (1, -2) - (4, 0) = (1 - 4, -2 - 0) = (-3, 2)

The same result will be obtained from other points (C and D). Therefore, the first option (-3, 2) is correct.

3 0
1 year ago
Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

5 0
3 years ago
The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp
Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

The standard deviation of the sample is the same as the standard error of the mean. So

SE_{M} = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\sigma = 0.35, n = 20

So

SE_{M} = \frac{\sigma}{\sqrt{n}}

SE_{M} = \frac{0.35}{\sqrt{20}}

SE_{M} = 0.0783

The standard error of the mean is 0.0783.

7 0
3 years ago
D is the midpoint of CE. If CD= 2x+10 and DE =3x-18, find x and CE<br><br> x=<br> CE=
Veseljchak [2.6K]

Answer:

<h2>x = 28</h2><h2>CE = 132</h2><h2 />

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|<------------- CE -------------------->|

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x = 28

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CE = 2(28) + 10 + 3(28) - 18

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HELP PLS MARKING BRAINLEIST TO CORRECT ANSWER
Andreyy89

Answer:

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Step-by-step explanation:

its very easy pls give brainliest

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3 years ago
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