WILL GET BRAINLIEST IF EXPLAINED AND CORRECT Give the equation for a circle with the given center and radius.
Center at (-1, 3), radius = 4
A. (x+3)2+(y−1)2=4
B. (x−3)2+(y+1)2=4
C. (x−1)2+(y+3)2=16
D. (x+1)2+(y−3)2=16

Answers

Answer 1

Answer:

Answer:

D. $(x+1)^2+(y-3)^2=16$

Step-by-step explanation:

We are asked to write equation of a circle whose center is at point $(-1,3)$ and whose radius is 4 units.

We know that equation of a circle is standard form is in format $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the center of circle.

Upon substituting $h=-1$ , $k=3$ and $r=4$ in the standard form of circle, we will get:

$(x-(-1))^2+(y-3)^2=4^2$

$(x+1)^2+(y-3)^2=16$

Therefore, our required equation would be $(x+1)^2+(y-3)^2=16$ and option D is the correct choice.

Answer 2

Answer:

Answer:

It is D. (x + 1)^2 + (y - 3)^2 = 16.

Step-by-step explanation:

The general equation of a circle is

(x - h)^2 + (y - k)^2 = r^2 where the center is (h, k) and the radius is r.

So substituting the given values the required equation is:

(x + 1)^2 + (y - 3)^2 = 4^2.

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Last question of the day for 20 points :)

1. Find three consecutive integers such that the sum of the first and twice the thirdinteger is 93 more than the second integer

Answers

Answer:

Step-by-step explanation:

Let (x), (x+1), and (x+2) be the three consecutive integers.

Put the words into expressions

Sum of the 3rd and twice the 3rd: (x)+2(x+2)

93 more than the second integer: 93+(x+1)

Now you can set up the equation and solve:

(x)+2(x+2)=93+(x+1)

Distribute and combine like terms

x+2x+4=94+x

3x+4=94+x

2x=90

x=45

So the 3 consecutive integers are 45, 46, 47.

Plug back in to check.

Given the lease terms below, what is the total price of this car if you buy itafter leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 18 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $479
• Security deposit: $350
• Acquisition fee: $700
O
O
O
A. $21,100
B. $21,172
C. $28,272
D. $20,794

Answers

The total price of this car if you buy it

after leasing, and you do not get the security deposit back is; C. $28,272

How to solve lease terms?

Total price in this question will be all the costsincurred from leasing to buying.

We are given;

Purchase value of the car after lease: $17,100

Down Payment: $1500

Monthly Payment: $479 × 18 = $8622

Security Deposit: $350

Acquisition fee: $700

Thus;

Total costs = $17,100+ $1500 + $8622 + $350 + $700

Total Costs = $28272

Read more about Lease terms at; brainly.com/question/22785393

#SPJ2

Answer:C. $28,272

Step-by-step explanation:

How many times can 15 go into 96?

Answers

6 times,96/15 is equal to 6.4

15 can go into 96 ... 6.4

What is the slope of the line that passes through the points (2, 8) and (6, 12)? A.
–5

B.
–1

C.
1

D.
5

Answers

Hi there! Think of x as 2 and 6 and think of y as 8 and 12. 8-12/2-6=-4/-4. Now, -4/-4=1. Therefore, the answer is C. 1

Hello!

Step-by-step explanation:

Slope: $(Y^2-Y^1)/(X^2-X^1)=(rise)/(run)$

$(12-8=4)/(6-2=4)=(4)/(4)=1$

Slope is 1.

Answer is 1.

Hope this helps!

Thanks!

-Charlie

Have a great day!

What does the fraction 2 1/9 minus 7/6 equal

Answers

Answer: = $(17)/(18)$

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest if this was helpful:)

A cylindrical soup can is 5.5 cm in diameter and 11.2 cm tall. What is the area of the label that covers the side of the can? Round your answer to the nearest hundredth.96.71 square centimeters
17.27 square centimeters
193.42 square centimeters
386.85 square centimeters