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FromTheMoon [43]
3 years ago
7

Please help! A circle is centered at (−4, −6) and has a radius of 3. Which of the following is the equation for this circle?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

General equation of a circle is

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the center and r = radius. so here we have a = -4 and b = -6 and r^2 = 3^2 = 9

Therefore the equation of the required circle is

(x + 4)^2 + (y + 6)^2 = 9

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LUCKY_DIMON [66]

Answer:

answer is .A

Step-by-step explanation:

8 0
3 years ago
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Pepsi [2]
X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9

Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9

Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12

Step 4: Divide both by -3
-3x/-3=-12/-3
X=4
6 0
3 years ago
Prove ΔPAB is isosceles.
Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If PX\cong PY, then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

\angle 1\cong \angle 2

and

m\angle 1=m\angle 2

Angles 1 and 3 are supplementary, so

m\angle 3=180^{\circ}-m\angle 1

Angles 2 and 4 are supplementary, so

m\angle 4=180^{\circ}-m\angle 2

By substitution property,

m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3

Hence,

\angle 3\cong \angle 4

Consider triangles APX and BPY. In these triangles:

  • PX\cong PY - given;
  • \angle 5\cong \angle 6 - given;
  • \angle 3\cong \angle 4 - proven,

so \triangle APX\cong \triangle BPY by ASA postulate.

Congruent triangles have congruent corresponding sides, then

AP\cong BP

Therefore, triangle APB is isosceles triangle (by definition).

6 0
3 years ago
What's the slope for (-3,8) and (0,4)
Tomtit [17]

Answer:

The slope of (-3, 8) and (0, 4) is -4/3.

6 0
3 years ago
Read 2 more answers
A. complementary<br> B. supplementary<br> C. vertical<br> D. no relationship
Leni [432]
The answer is D. No relationship but there’s no question for it so it maybe wrong
4 0
3 years ago
Read 2 more answers
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