If ur solving for x, the answers are 12 and -2
9/2. turn each coordinate pair into y/x and subtract them. hope this helps :)
The length of rectangle is 45 inches and width is 5 inches.
Step-by-step explanation:
Given,
Perimeter = 100 inches
The ratio of length and width = 9:1
It means that 9 times of any number and 1 times of any number will be the original length, therefore,
Let,
x be the that number.
Length = 9x
Width = 1x
Perimeter = 2(Length+width)

Dividing both sides by 20

Length = 9x = 9*5 = 45 inches
Width = x = 5 inches
The length of rectangle is 45 inches and width is 5 inches.
Keywords: rectangle, perimeter
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Answer:
cm per second
![\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%3D320%20square%20%20centimeter%20per%20second%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EWe%20are%20given%20that%20volume%20of%20sphere%20%3C%2Fp%3E%3Cp%3E%5Btex%5DV%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Volume of sphere is increasing at a constant rate
cubic centimeters per second
We have to find the rate of radius at which increasing
when r= 10 cm
Differentiating w.r.t time


cm per second
Now ,we are given that surface area of sphere

Differentiate w.r.t time then we get


cm per second
The relation that is a function is:
b. y = 2x² - 3x + 7
<h3>When a relation is a function?</h3>
A relation is a function if each value of the input is mapped to only one value of the output.
Hence, when both x and y are squared, we have that
, hence it is not a function. This is the case for items a and c.
For item d, we have that the relation can be simplified as follows:
x = -y² + 3y
x = y(-y + 3)
The solution above, is associated to two values of y, hence it is also not a function. Then the function is given by:
b. y = 2x² - 3x + 7
In the solution, it can be seen that for each input x, only one value of y can be generated.
More can be learned about relations and functions at brainly.com/question/12463448
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