Write an equation of a circle whose center is (-3,2) and whose diameter is 10

Answers

Answer 1

Answer: $The\ equation\ of\ a\ circle:(x-a)^2+(y-b)^2=r^2\n\n(a;\ b)-the\ coordinates\ of\ the\ cener;\ r-the\ radius\n-------------------------------\nThe\ center\ (-3;\ 2)\to a=-3;\ b=2\na\ diameter\ d=2r\ therefore\ r=(1)/(2)d\to r=(1)/(2)\cdot10=5\n\nAnswer:\n\boxed{(x-(-3))^2+(y-2)^2=5^2}\to\boxed{(x+3)^2+(y-2)^2=25}$

Answer 2

Answer: $(x-x_1)^2+(y-y_1)^2=r^2\n(x_1,y_1) - \text{ center}\n\nr=\frac{\text{ diameter}}{2}=(10)/(2)=5\n\n(x-(-3))^2+(y-2)^2=5^2\n\boxed{(x+3)^2+(y-2)^2=25}$

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(m+2)(m+3)=(m+2)(m-2) what is the answer please

Answers

$(m+2)(m+3)=(m+2)(m-2)\n\nm^2+3m+2m+6=m^2-4\n\nm^2-m^2+5m=-4-6\n\n5m=-10\ \ \ \ /:5\n\nm=-2$

The first time you look at this, you would think that you can just cancel the
(m+2) off of each side. But then you're left with (m+3) = (m-2), and there's
no solution for this. So you have to go back and do it the hard way.

Expand each side of the equation. (Clear the parentheses.)

m² + 5m + 6 = m² - 4

Subtract m² from each side:

5m + 6 = -4

Subtract 6 from each side:

5m = -10

Divide each side by 5:

m = -2

4.5+(-12)+(-4.5) I need this answer now please

Answers

Answer:

-12

Step-by-step explanation:

8The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5

Answers

If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).

aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, The first term of an arithmetic sequence is 5.

The third term of the sequence is 13.

As we can conclude that for 2 terms the common difference is increased by 8.

∴ Common difference (d) = 8/2 = 4.

Now, we know the nth term of an arithmetic sequence is,

aₙ = a₁ + (n - 1).d.

aₙ = 5 + (n - 1)×4.

aₙ = 5 + 4n - 4.

aₙ = 4n + 1.

learn more about arithmetic sequence here :

brainly.com/question/10396151

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Answer:A 4n+1

Step-by-step explanation: found the answer key

It is 7 km from Kerry's house to the mall. About what is that distance in miles?

Answers

1 km = 0.62137... mile (rounded)

7 km = 4.3296... miles (rounded)

4.3496 miles is the answer because if you Round up you it.

Add 3/7 + 4/5 please helppppp me

Answers

Answer: 43/35

Reasoning: You need the denominators to equal the same to add or subtract them

Directions. Convert the equations from standard from slope-intercept form.
5. 2x-y = -7

Answers

Answer:

$y=2x+7$

Step-by-step explanation:

$2x-y=-7\n\n2x-2x-y=-7-2x\n\n-y=-7-2x\n\n(-y=-7-2x)/(-1)\n\n y=7+2x\n\n\boxed{y=2x+7}$

Hope this helps.

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