Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6
Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10) units
Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2
Therefore, the length of the longest side is 2sqrt(10) units
Nope .42 is greater, .4 is closer to 1 then .2 have a great day and hope this helps
Answer:
f(5) = 75
Step-by-step explanation:
The function is f(x) = 2x^2 + x(100 - 15x).
Evaluate this function at x = 5: replace each instance of x with 5:
f(5) = 2(5)^2 + 5(100 - 15·5)
Order of operations rules require evaluating the expression enclosed in parentheses first. We get:
f(5) = 2(5)^2 + 5(100 - 15·5)
= 50 + (100 - 75), so that:
f(5) = 50 + 25 = 75
f(5) = 75
Answer:
Step-by-step explanation:
A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and 3/4 quart of grape juice.
The ratio of sparkling water to grape juice is
So, to make 100 quarts of punch you need x quarts of grape juice and 2x quarts of sparkling water.
Hence,
If the volume of a sphere is 576 pi cubic units, then the radius is 7.56. I arrived to this answer through solving first what is 576 (<span>π) which led me to the answer 1808.64. Then I solved for the radius through deriving the formula of a volume of a sphere to finding the radius. Thus, the final ansewr is 7.56 units. </span>
