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eimsori [14]
3 years ago
12

Explain How you got that answer

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

\huge\boxed{Center= (-3,4) , Radius = 5\sqrt{2} }

Step-by-step explanation:

<u><em>Given equation is </em></u>

<u><em></em></u>x^2 + y^2 + 6x-8y - 25 = 0

Adding 25 to both sides

x^2 + y^2 +6x-8y = 25

Completing squares

x^2 +6x +y^2 - 8y = 25\\(x)^2-2(x)(-3) + (y)^2 - 2(x)(4) = 25

Both of their "b" is -3 and 4 respectively

So, adding (-3)² => 9 and (4)² => 16 to both sides

(x+3)^2 + (y-4)^2 = 25 + 9 + 16\\(x+3)^2 + (y-4)^2 = 50\\(x-(-3))^2 + (y-4)^2 = (5\sqrt{2)^2}

Comparing it with (x-h)^2+(y-k)^2 = r^2, where center = (h,k) and radius = r.

We get:

Center = (-3,4)

Radius = 5\sqrt{2}

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The points (–8, –4) and (6, 10) fall on a particular line. What is its equation in slope-intercept form?
elena55 [62]
First we need to use two point to find the slope (m)

m=(y2-y1)/(x2-x1)
X1=-8
Y1=-4
X2=6
Y2=10

m=(10-(-4))/(6-(-8))
m=(10+4)/(6+8)
m=14/14
m=1

Eq of the line formula :
Y-y1=m(x-x1)
Y-(-4)=1(x-(-8))
Y+4=x+8
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6 0
3 years ago
What is the measure of the sides of a square with an area of 49 inches
Lunna [17]

Answer:

7 inches

Step-by-step explanation:

area of square=l^2

49=l^2

\sqrt{49=l

7=l

therefore the sides of a triangle is 7 inches.

7 0
3 years ago
Read 2 more answers
Plz help I will give brainliest!
elena55 [62]

Answer:

b, 1 5/8

Step-by-step explanation:

the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8

6 0
3 years ago
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A cube has a volume of 729 cubic inches. What is the length of each edge? Explain
Kipish [7]

Answer:

The\:length\:of\:each\:edge\:is\:9

Step-by-step explanation:

Volume\:of\:cube:V=a^{3} \:(a\:is\:the\:length\:of\:each\:edge)\\\Leftrightarrow a=\sqrt[3]{V} \Leftrightarrow a=\sqrt[3]{729} =9

7 0
3 years ago
–9.45 + 5.4d + 9.01 = –0.1d + 0.66
bulgar [2K]

Answer:

1.838181818181818

Step-by-step explanation:

5.4d + 0.1d = 0.66 + 9.45

5.5d = 10.11

d = 10.11 / 5.5

d = 1.838181818181818

7 0
3 years ago
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