❄ Hi there,
keeping in mind that the sum of complementary angles is 90°,
set up an equation, letting
be x –
{and we know that
}




__________
Keeping in mind that a right angle is 90°,
set up an equation, letting
be x:
{and we know that
}



❄
Answer:
The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.
Step-by-step explanation:
We are given the function:

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.
To determine the average rate of change, we find the slope of the function between the two points. In other words:

Simplify:

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.
This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.
The other factor would be (x + 4). We can find this by using synthetic division. To do this, we must first find the divisor, which would be 9, if we let x - 9 equal to zero and solve for x. Then, for the dividend, we can use the coefficients and constant term values.
<u>9</u>| 1 -5 -36
<u> 9 36</u>
1 4 0
Therefore, the other expression (x + 9) would be (x + 4). Hope this helped!
2L + 2W = 36
2(3+2W) + 2W = 36
6 + 4W + 2W = 36
6W + 6 = 36
-6 = -6
6W=30
W= 30/6 = 5 L= 3 + 2W = 3 +2 (5) = 3 +10= 13
Width is 5
Length is 13
Answer:
Step-by-step explanation:
so formula for the volume of a cylinder is:
(πr^2)*h
so the diameter is given to us which is
2r=10 cm
then r=5 cm
h=6 cm and r=5 cm so we just plug it in
(5^2)*6π
25*6π
150π cm^3 or approximately 471.239 cm^3