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natta225 [31]
3 years ago
7

Find an equation of the circle whose diameter has endpoints (1,-4) and (-3,6).

Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

(x+1)^2+(y-1)^2=58

Step-by-step explanation:

To find the equation of this circle, we must know the center and the radius.

We can find the radius by dividing the value of the distance formula by 2 (since r=\frac{d}{2}):

d=\sqrt{(-3-1)^2+(6-(-4))^2}=\sqrt{116}\\r=d/2=\frac{\sqrt{116}}{2}

We can then find the center of the circle by averaging the coordinates:

\frac{1+(-3)}{2}=-1

\frac{-4+6}{2}=1

Then, we substitute these values into the equation of a circle:

(x-(-1))^2+(y-1)^2=(\frac{\sqrt{116}}{2})^2\\(x+1)^2+(y-1)^2=58

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Find the perimeter of the polygon if angle B is congruent to angle D.
UkoKoshka [18]

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

8 0
3 years ago
Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the m
trapecia [35]
There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2


Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
3 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH NUMBER 2
lyudmila [28]

Answer:

Step-by-step explanation:

It's B.

So the equation is x > -25. In word form, "The solution to this equation is greater than -25."

B begins at -25, and has a thick arrow pointing in the positive direction.

5 0
3 years ago
how much money will you have in 10 years if you invest $12,000 at a 3.3% annual rate of interest compounded quarterly?
Andrej [43]

Answer:

The amount is $16718.7 and the interest is $4718.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=$12000 , r=3.33% , n=4 and t=10 years

After plugging the given information we have

AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7

STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:

A16718.7II=P+I=12000+I=16718.7−12000=4718.7

4 0
3 years ago
Which equation has a graph that is parallel to the graph of 2x − y = −1?
LenKa [72]
D is your answer I’m 80%sure
7 0
3 years ago
Read 2 more answers
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