Given:
Two endpoints of a diameter of a circle:
P (-7, -10)
Q (3, 2)
a) To find the center of the circle, find the midpoint of the two points:
midpoint:
(x2 - x1 )/ 2 , (y2 - y1) / 2
x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5
Therefore, the center of the circle is at C(4.5, 6.5)
b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.
d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2
Answer:
1
Step-by-step explanation:
the equation for a slope-intercept line is y=mx+b. In this equation, b represents the y intercept. In the equation you posted, 1 is in the place of b, so one is the y intercept.
hope this helps
Answer:
y=3x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3(x-(-3))
y+5=3(x+3)
y=3x+9-5
y=3x+4
Answer:
96 square inches.
Step-by-step explanation:
From given picture we see that
BC=8 in
AD=10 in
Given that
AD=AB
Then AB=10 in
Apply Pythagorean theorem in triangle ABC to find AC
take square root
Then area of triangle ABC
There are total 4 congruent triangles.
Then total area of the given figure = 4(24)=96 square inches.
It would be J. This is because the opposite of -3.5 would be 3.5 and the absolute value is just a positive integer or positive number so that would be 3.5 as well so its J