So you need to start with the standard form of a circle.
(x - h)^2 + (y - k)^2 = r^2 , where the center is at (h, k) with a radius of r
All points on the circle have a distance equal to the radius from the center of the circle. So you must use the center (1, 4) and the given point on the circle
(-2, 4) in order to find the radius. You can do this by using the distance formula r^2 = (x1 - x2)^2 + (y1 - y2)^2
r^2 = (1 - -2)^2 + (4 - 4)^2
r^2 = (3)^2 + (0)^2
r^2 = 9
The equation of a circle calls for r^2 so we do not need to find just r. Now we just substitute (h,k) and r^2 into the equation to get the standard form of the circle.
(x - 1)^2 + (y - 4)^2 = 9
Answer is First one
Step by step explanation
In first one y=0
Answer:
x>-3
Step-by-step explanation:
Add five to both sides, getting rid of the five on the left and adding 5 to the 7.
Now you have -4x<12
Divide both sides by -4
Now you have x > -3
Whenever you divide by a negative you switch the signs.
Answer:
m∠1 = 71°
Step-by-step explanation:
Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.
Set the measures of the two angles equal to 90°
Combine like terms
Solve for x
Plug the value of 'x' back into the given equation for the measure of angle 1
m∠1 = 71°
Answer:
Diagonals are congruent
Step-by-step explanation:
In rectangle, diagonals are congruent.
But in parallelogram diagonals are not congruent