9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Answer:
22 in
Step-by-step explanation:
<u>circumference of a circle = 2 π r</u>
where radius (r) = 7/2 in. = 3.5 in
C = 2 π (3.5)
= 22 in
Answer:
E. y - 4 = 6(x+2) is the answer
slope:
m = -8-4/-4+2 = 6
Formula:
y - ys1 = m(x - xs1)
hope this helps!
Step-by-step explanation:
Answer:
<em><u>A:</u></em>
<em><u>Square</u></em>
<em><u>Rectangle</u></em>
<em><u>Parallelogram</u></em>
<em><u>Quadrilateral</u></em>
<em><u>Rhombus</u></em>
<em><u></u></em>
<em><u></u></em>
Step-by-step explanation:
All sides and angles are equal so it is a square
All angles are 90 degrees so it is a rectangle (eliminate C)
Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)
It has 4 sides so it is a quadrilateral (eliminate B)
Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.
Opposing sides are congruent so it is a rhombus.
The answer is -125+85= -40 because she is adding -125 by 85 which equals-40
