Answer:
x = 10
Step-by-step explanation:
so first distribute the 3/4 to everything on the inside
3/4x + 1 1/2 = 9
now subtract 1 1/2 on both sides
3/4x = 7 1/2
Now divide both sides by 3/4
x = 7 1/2 divided by 3/4
x = 15/2 divided by 3/4
x = 15/2 times 4/3
x = 5/1 times 2/1
x = 10
<h3>
Answer: 5</h3>
The coefficient is the term just to the left of the variable. So for the term 5y, the number to the left of y is 5.
extra info: 5y is the same as 5*y or "5 times y", where y is a placeholder for some unknown number.
First you rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Second you solve it by using the formula of a straight line drawn on Cartesian coordinate system in which “y” is the vet risk axis and “x” the horizontal axis.
Answer
The answer would be 58
Step-by-step explanation:
3 to the power of 2 is 9
7 to the power of 2 is 49
add that you get 58
Cone details:
Sphere details:
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From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
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To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>

<u>apply chain rule</u>

<u>Equate the first derivative to zero, that is V'(x) = 0</u>




<u />
<u>maximum volume:</u> <u>when h = 40/3</u>


<u>minimum volume:</u> <u>when h = 0</u>

