To solve for this, we need to use Pythagorean Theorum.
Pythagorean Theorum is when we add the squares of the legs (A & B) to solve for the hypotenuse (C) or the side that's across from the 90 degree angle.
The formula for Pythagorean Theorum is A^2 + B^2 = C^2.
We have our two leg lengths, 15 and 36 (A & B).
Square 15 and 36.
15^2 = 225
36^2 = 1,296
Now that we have our side lengths, let's add them up.
225 + 1,296 = 1,521.
Now, to solve for C, we need to square root our sum.
The square root of 1,521 is 39.
Your hypotenuse is 39.
Your answer is C.) 39.
I hope this helps!
Answer:
b 125
Step-by-step explanation:
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
D
Step-by-step explanation:
First we pick the equation. Let's say we pick first one. From it we express y.
Then we use this y and plug it in instead of y in the second equation.
Now just solve for x.
We plug this x in the first equation.
And solve for y.
So the solution to the equation is geometrically a point P which lies on the intersection of the two lines.
Hope this helps.
r3t40
