Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
Okay so you do not really need the circle equation. if you make a triangle with it's x length as 3 and it's y length as 4, you will be able to find the third length. Do Pythagorean theorem to find the hypotenuse.
the hypotenuse will be five after you calculate it.
sin is opposite over hypotenuse or Y over R
so... the sin is 4/5
make sure you know what quadrant your triangle is in for the negatives
Answer:
14
Step-by-step explanation:
To find the length of the side of a square when the area is known, find the square root of the area:
Side length = √729
Side Length = 27 feet.
Answer:
8978.9
Step-by-step explanation:
MULTIPLY THE THE GIVEN AND
8.89 × 1010 = 8978.9
THEN THE RESULT WOUD BE THE STANDARD NOTATION.
