What is the fourth step in Dino's recipe?
1 answer:
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Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
Answer:
C: (-8,3) R:5
Step-by-step explanation:
The equation of a circle can be written as:
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center, and r is the radius
We have the equation:
(x+8)^2+(y-3)^2=25
Center:
The center is (-8,3)
(x+8)^2--> (x-h)^2
Therefore the x coordinate of the center is -8
(y-3)^2-->(y-k)^2
Therefore the y coordinate of the center is 3
Radius
r^2=25
Take the square root of both sides
r=5