Yintercepts are where x=0
set to zero to solve
0^2+4y^2=16
4y^2=16
divide 4
y^2=4
sqrt both sides
y=+/-2
xintercept is where y=0
x^2+4(0)^2=16
x^2+0=16
x^2=16
sdqrtboth sides
x=+/-4
yintercepts are (0,2) and (0,-2)
xintercepts are (4,0) and (-4,0)
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
Hello!
First we will solve the absolute value, giving us 6+8-18. Then we combine giving us 14-18. This gives us -4.
The answer is B) -4
Hope this helped!
Answer:
8 units
Step-by-step explanation:
The two squares have equal areas.
For each square:
area = 32 units^2
For a square:
area = side^2
side^2 = 32
side = sqrt(32)
For the two squares, the length of the side is sqrt(32).
The sides of the squares are the legs of the right triangle.
a^2 + b^2 = c^2
(sqrt(32))^2 + (sqrt(32))^2 = x^2
32 + 32 = x^2
x^2 = 64
x = 8
Answer: 8 units
Let e = your earnings.
Let h = number of hours you work.
Since you earn $20 per hour, the amount you earn is the number of hours times $20, or 20h.
e = 20h
