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Irina18 [472]
2 years ago
11

Write equation in Vertex Form with a Vertex of (5,-2)

Mathematics
1 answer:
Talja [164]2 years ago
8 0

Answer: h = 2

k = -5

y = a(x - h)2 + k

y = a(x - 2)2 - 5

Use the given point to find a.

-8 = a(5 - 2)2 - 5

-8 = 9a - 5

a = -1/3

y = (-1/3)(x - 2)2 - 5

Step-by-step explanation:

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What is the length of the hypotenuse
Liula [17]

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

8 0
3 years ago
Read 2 more answers
Find m∠USW if m∠USW = 7x - 34 and m∠TSR = 4x + 9.
nikitadnepr [17]

In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .

First we have to find the relationship between those two angles .

And these angles are vertical opposite angles which are congruent .

Therefore

m \angle USW = m \angle TSR

7x-34 = 4x+9
\\
3x = 43
\\
x = 14.33

Therefore measurement of angle USW is

=7(14.33)-34 =66.31 degree

5 0
2 years ago
1/3(b+4)= 1/2<br> What is the value of b?
Leni [432]

Answer:

A is 1 and b is 12

Step-by-step explanation:

4 0
2 years ago
Mary earns $25 per hour at her job. Next month, she will receive a 10% raise. Complete the two expressions that represent how mu
Natali5045456 [20]
25 + _0.10__*25

25 + __2.5___

In the 1st blank, the answer is 0.1 or 0.10 because you have to change percents to decimals to find the raise. 10% as a decimal = 0.1 or 0.10

In the 2nd blank, the answer is 2.5 because on the top, it's 0.1*25, which equals 2.5, and 2.5 is the raise. All you have to do is multiply 10%, or 0.1, by 25, and you get 2.5.

Hope this helped☺☺
6 0
3 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts
Alexxandr [17]

Answer:

The value of the test statistic is t = 2.67

Step-by-step explanation:

The null hypothesis is:

H_{0} = 7.8

The alternate hypotesis is:

H_{1} \neq 7.8

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem, we have that:

X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}

t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
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