Answer:
May I see the categories?
Step-by-step explanation:
Answer:
Radius, r = 61 cm
Step-by-step explanation:
According to the attached figure, we have,
Length of chord, AB = 22 cm
Such that, AP = PB = 11 cm
OP = 60 cm
It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,
So, the radius of the circle is 61 cm.
<h3><u><em>
Answer: Hello I am going to solve the rational equation by combining expressions and isolating the variable m . Exact Form: m = − 1 4 Decimal Form: m = − 0.25</em></u></h3><h3><u><em>
1.Subtract 5 from both sides of the equation</em></u></h3><h3><u><em>
2.Simplify</em></u></h3><h3><u><em>
3.Multiply all terms by the same value to eliminate fraction denominators</em></u></h3><h3><u><em>
4.Simplify</em></u></h3><h3><u><em>
5.Subtract 2
from both sides of the equation</em></u></h3><h3><u><em>
6.Simplify</em></u></h3><h3><u><em>
7.Divide both sides of the equation by the same term</em></u></h3><h3><u><em>
8. and finaly Simplify</em></u></h3><h3 /><h3><u><em>
Hope this help's!</em></u></h3>
Answer:
Solution given:
6-4x<26
Subtracting both side by 6
-4x<26-6
-4x=20
dividing both side by -4
we get
x=20/-4
<u>x=-5</u>
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.
