Answer:
90 m
Step-by-step explanation:
The piece on the right side fits perfectly in the left side so you can move the triangle to the left in order to make a square. After that, you can do 10 times 9 because 5+4=9 to get 90m as the area.
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Answer:
Range is always greater than zero.
Step-by-step explanation:
An exponential growth means that the growth rate of a given quantity increases exponentially.
The graph of an exponential function is shown below.
From the above graph, it's quite clear that the range of the function is never negative.
Hence, one characteristic of exponential growth is that the range(y values on the graph) is always greater than zero.
C
a ratio of 5 : 5 simplifies to 1 : 1, which basically means we require the midpoint of the line segment
using the midpoint formula
M = [
(0 + 20 ), (15 + 0)] = (10, 7.5 )
