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katrin [286]
4 years ago
11

A circle is centered at (2, -5) and has radius 3. Write its equation in standard form. A) (x + 2)2 + (y - 5)2 = 3 B) (x - 2)2 +

(y + 5)2 = 3 Eliminate C) (x + 2)2 + (y - 5)2 = 9 D) (x - 2)2 + (y + 5)2 = 9
Mathematics
2 answers:
ozzi4 years ago
7 0
I think its D because the radius must be squares and 5 must be added because thats the same as subtracting a negative
ki77a [65]4 years ago
4 0
D.
(x - h)^{2}  +  {(y - k)}^{2}  = r^{2}
Where (h, k) is the center of the circle and the radius is squared.
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Find the equation of the line which passes through the point (1,2), and is perpendicular to the line with the equation y=−12x+5.
malfutka [58]

12y = x + 23

Step-by-step explanation:

  • y = −12x + 5
  • Perpendicular slopes are opposite reciprocals.  
  • The original slope is −12
  • So the new perpendicular slope is 1/12.
  • We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b 

y = mx + b

2 = 1/12 * 1 + b

2 = 1/12 + b

b = 23/12

  • When we simplify this, we arrive at 12y = x + 23
7 0
4 years ago
The area of a circle is 153.86 square meters. What is the diameter of the circle?
Yuliya22 [10]
Area of circle = πr² 

Given that area = 153.86 m², find the radius:

 153.86 = πr²

r² = 153.86 ÷ π

r² = 48.98

r = √48.98

r = 7 m

Diameter = Radius x 2 = 7 x 2 = 14 m

Answer: Diameter = 14 m



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3 years ago
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4 0
3 years ago
A triangle has a base that is 3 times the height. The area of the triangle is 63 cm^2. Find the height of the triangle. Round yo
Anni [7]

Answer:

Step-by-step explanation:

Let height = x cm

Base = 3x cm

Area of triangle = 63 cm^2

\frac{1}{2}*3x*x=63\\\\\frac{1}{2}*3*x^{2}=63\\\\x^{2}=63*\frac{2}{3}\\\\x^{2}=21*2\\x^{2}= 42\\\\

x = 6.48

Height = 6.5 cm

6 0
3 years ago
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