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Dvinal [7]
3 years ago
8

If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?

Mathematics
2 answers:
aliina [53]3 years ago
6 0

Answer:

The anser is B 100% willing to put $100 on it.

Step-by-step explanation:

lora16 [44]3 years ago
4 0

Answer:

A. (x+5)^2+(y-8)^2=100

Step-by-step explanation:

1. The standard form of the equation of a circle is (x-h)^{2} + (y-k)^2=r^2

2. To find the center we require the  midpoint   of the  2 given points

center =[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d= \sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}

let (x_{1},y_{1})= (-5,8) \\ and (x_2,y_2)=(-4,11)

r=\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10

--> (x-(-5)^2+(y-8)^2=10^2

--> (x+5)^2+(y-8)^2=100

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Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY. a. The number of ways
Phantasy [73]

Answer:

a) 6 ways

b) 6 ways

Step-by-step explanation:

a) for all of the letters

for the first letter, we have 3 options

for the second, we have 2 options

for the third, we have 1 option

So the number of options will be;

3 * 2 * 1 = 6

b) for the first, we have 3 options, for the second, we have 2 options

so the number of options will be 3 * 2 = 6 options

8 0
3 years ago
if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
2. picking a number from 1 to 5 and choosing<br> the color red, white, or blue
bekas [8.4K]

Answer:

i would choose a 3 and color red

Step-by-step explanation:

i still don't understand the question tho

7 0
3 years ago
An above-ground swimming pool is leaking. The function h(d) = 48 - 1. 5d gives the height of the water in the pool in inches d d
MAXImum [283]

Answer:

A) 48 in : initial height of the water

B) 40.5 in : height of the water after 5 days

C) 32 days

D) Yes, should be restricted.

Domain: 0 ≤ d ≤ 32

Step-by-step explanation:

h(d) = 48 - 1. 5d

A)  

h(0) = 48 - 1. 5(0)=48

48 in is the initial height of the water

B)

h(5) = 48 - 1. 5(5)=48-7.5=40.5

40.5 in is the height of the water after 5 days

C) when the pool is empty, h = 0.

So set the equation to zero and solve for d.

\implies 48 - 1. 5d=0\\\\\implies 1.5d=48\\\\\implies d=\dfrac{48}{1.5}\\\\\implies d=32

D) Yes, the domain should be restricted because when d > 32, h < 0 and the height of the water in the pool cannot be negative

Domain: 0 ≤ d ≤ 32

5 0
2 years ago
What is the correct way to write 9 x 9 x 9 in exponential form?
Harlamova29_29 [7]

Hey!

----------------------------------------------

Solution:

Put all the answer choices into expanded form.

3^9 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

1^8 = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1

9^3 = 9 x 9 x 9

8^1 = 8

----------------------------------------------

Answer:

We can see that the only way to write to write 9 x 9 x 9 in exponential form is c) 9^3

----------------------------------------------

Hope This Helped! Good Luck!

5 0
3 years ago
Read 2 more answers
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