Answer:
8
Step-by-step explanation:
Answer:
y = -2x + 12
Step-by-step explanation:
The point-slope equation for a line has the following format:
y = mx + b
In which m is the slope and b is the y-intercept(value of y when x = 0).
(1,10)
This means that when x = 1, y = 10. So
10 = m + b
(5,2)
This means that when x = 5, y = 2. So
2 = 5m + b
From the first equation, b = 10 - m. So
2 = 5m + 10 - m
2 = 4m + 10
4m = -8
m = -2
And
b = 10 - m = 10 - (-2) = 10 + 2 = 12
So
y = -2x + 12
The easiest way to find the average rate of change is with the formula:
( y 2 - y 1 ) / ( x 2 - x 1 )
We have to find the average rate of change from the 18th month to the 21st month. So: y2 = 41.25, y 1 = 0, x 2 = 21, x 1 = 18;
( 41.25 - 0 ) / ( 21 - 18 ) = 41.25 / 3 = 13.75
Answer:
c. 13.75 dollars per month.
Let the length of the rectangle to be a value,
x.
Since you are told that the length is 4 feet shorter than width, then, this can only mean that
width =
(x+4)
The area of a rectangle
= length × width. = x(x+4) = 42
=x² + 4x=42
From here form the quadratic equation then solve it to get the value of
x (length of the rectangle)
x²+4x-42=0
Using the quadratic formula,
x = -4 + or - (√(16-4×1×-42))÷2
At this point I had a problem with inserting an equation in this platform. So, i have done it have attached a file that explains the above statement. Kindly find it in the attachment below.
x = (-4+or - 13.56)÷2
= 9.56÷2
=4.78 feet
The length to the nearest foot =
5 feet.
The width to the nearest foot =
5+4 = 9 feet.
Answer:
Radius = 2.
Step-by-step explanation:
We have been given equation of the circle which is 
.
Now we need to find the radius of the given circle .
To find that let's compare with the formula of the circle with standard equation of the circle 
, where r is the radius.
We get 
take square root of both sides.
Hence radius of the given circle is r = 2.
