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babymother [125]
3 years ago
10

A circle has a center at (5, 5) and a radius of 2. If the format of the equation for the circle is (x − h)2 + (y − k)2 = r2, the

n what is r2?
Select one:
A. 1
B. 2
C. 3
D. 4
E. 5
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

D:  r^2 = 4

Step-by-step explanation:

Square the radius:  r^2 = 2^2 = 4 (answer)

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What is the inverse of the function F (X) equals 2X +1
Liono4ka [1.6K]

Answer: f^{-1}(x)=\frac{x-1}{2}

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

f(x)=2x+1\\x=2y+1

Now solve for y

x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y

Finally, replace y with the inverse of f(x), f^{-1}(x)

5 0
2 years ago
I need help PLEASE!!!
Hitman42 [59]

Answer:

1. ∠A and ∠B are right angles.                      Given

2. m∠A = m∠ B                                               All right angles are congruent.

3. ∠BEC≅ ∠AED                                              Vertical angles are congruent

4. ΔCBE ~ ΔDAE                                               AA

Step-by-step explanation:

A proof always begins with the givens.

1. ∠A and ∠B are right angles. -------------->Given

2. m∠A = m∠ B  are equal since----------->  All right angles are congruent.

3. ∠BEC≅ ∠AED  are also equal since---->Vertical angles are congruent

4. ΔCBE ~ ΔDAE since two angles are equal----------> AA

7 0
3 years ago
Which mathematical equation represents the solution for k in the equation h + 3 = jk + 6k ?
Tomtit [17]

Answer:

The answer is<u> D.</u> h+3/j+6.

Step-by-step explanation:

Given:

The equation h + 3 = jk + 6k.

Now, to get the mathematical expression.

h + 3 = jk + 6k

So, taking k common on R.H.S we get:

h + 3 = k(j + 6)

Then, dividing both sides by j+6  we get:

\frac{h+3}{j+6} =k

Thus,

k=\frac{h+3}{j+6}

Therefore, the answer is D. h+3/j+6.

5 0
3 years ago
calculate gas mileage of car that drives 283 miles on 12.3 gallons of gas andround to nearest tenth of a mpg
Studentka2010 [4]
283 divided by 12.3 = 23.008 and rounded it will just be 23.
5 0
3 years ago
Solve 5^3x+1 = 4^x-5 for x
tensa zangetsu [6.8K]

For the equation 5^{3x+1}=4^{x-5} take the \log from both sides:

\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.

Find x:

3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.

Answer: correct choice is D

7 0
3 years ago
Read 2 more answers
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