Answer:
Number of full size cars = 900
Step-by-step explanation:
The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are there in both ratios , we need to make the number in the ratio for compact cars to be the same.

Multiply by 8 on numerator and denominator


Multiply numerator and denominator by 5.

Ratio of medium, compact and full size are in ratio 56,40,45.
Total number of cars =2820.
(56 + 40 + 45)x = 2820
x = 
x = 20
Number of full size cars =
=900
Step-by-step explanation:
1) the required equation in common form is:
(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;
According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:
<u>(x+5)²+(y-2)²=6².</u>
2) if the distance between two friends is:

this distance is longer than social (6 ft). For more info see the attachment.
Answer:
Standard form: 
Center: 
Radius:
Step-by-step explanation:
The equation of a circle in the standard form is

Where the point (h, k) is the center of the circle
To transform this equation
this equation in the standard form we use the method of square.
First, we group similar variables

Divide both sides of equality by 4

Now we complete square for variable x.
Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

Now add
on both sides of the equality

Factor the expression and simplify the independent terms


Then

and the center is 
radius
Okay, i'm pretty sure that if you make a residual plot its a plot using all those points labeled. So plot those points on a graph, if you are using a K12 diagram use the 1-10 as 100-1000 (basically add a zero to every number)
Answer:
b = 20, c = 160
Step-by-step explanation:
b and 20 degrees are vertical angles, so they are equal.
b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees