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IrinaK [193]
3 years ago
15

What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?

Mathematics
1 answer:
valina [46]3 years ago
7 0
Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²

Now the equation is in the form (x - h)² + (y - k)² = r²

Radius = 10



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Write the equation of a line in POINT-SLOPE
Tems11 [23]

Answer:

y - 2 = 1/2(x - 3)

Step-by-step explanation:

In this question, we need to write the given information in point-slope form.

Point-slope form: y - y1 = m(x - x1)

We know that our slope is 1/2

We are also given a coordinate: (3, 2)

Plug in the information to its correct spot in the equation:

y - 2 = 1/2(x - 3)

Your point-slope form would be: y - 2 = 1/2(x - 3)

4 0
3 years ago
Use the zero product property to find the solutions to the equation (x+2)(x+3)=12
Rainbow [258]

Answer:

<em>x=-6, x=1</em>

Step-by-step explanation:

<u>The zero product property</u>

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

(x+6)(x-1)=0

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

4 0
3 years ago
What is:<br> -6s²+-4.5=?
ddd [48]

Answer:

-6s² + - 4.5

= -6s² +(-4.5)

= -6s² - 4.5

3 0
3 years ago
Read 2 more answers
757.923 expanded form
tamaranim1 [39]
The expanded form is adding all the digits so the answer is
700+50+7+0.9+0.02+0.003 
6 0
3 years ago
If f(x)=1/3x^2+5, find f(-9)
Yuliya22 [10]
F(-9)= 1/3(-9)^2 + 5

F(-9) = 1/3(81) + 5
= 27 + 5

= 32

Hope this helps!
5 0
3 years ago
Read 2 more answers
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