Since is a right triangle use the Pythagorean theorem to find the missing length in the triangle
17² =8² +x²
x²=17² -8²
x² =289-64=225
x=√225=15
Area of the triangle is 8·15/2=60 cm²
First 1 trust me on this hope this help
Answer:
Its odd
Step-by-step explanation:
The line y=3 is a vertical line. Thus, another line that is perpendicular to y=3 is a horizontal line. If this horiz. line passes thru the point (5, -6), then x = 5 is the desired equation.
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
