Answer:

Step-by-step explanation:
Solve for the value of
:

-Use <u>Distributive Property</u>:


-Subtract
to both sides:


-Divide both sides by:


So, the value of
is
.
The answer is b. Let me know if you need an explanation
Answer:

Step-by-step explanation:
slope-intercept form: y = mx + b
Given:
Slope(m) = 
Point = (-1, 3)
To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:



Now that we know the values of b and m, we can write the equation:

Answer:
The allowable lengths of pipe is from 21.78 inch to 22.22 inch.
Step-by-step explanation:
The length of the each pipe in the shipment = 22 inch
The variation in the length of pipes = 1%
⇒The allowable length of pipe in the inspection = 22 inch ± 1%
Now, 1% of 22 = 
So, 22 inch + 1% = 22 inch + 0.22 = 22.22 inch
and 22 inch - 1% = 22 inch - 0.22 = 21.78 inch
⇒ 22 inch ± 1% = 22.22 inch and 21.78 inch
Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.
Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.
diag d = √(6²+6²) = 6√2 in
The diagonal is also the diameter of the circle! So the radius of the circle is half of that:
radius r = d/2 = 3√2 in
The area of the circle is πr² = π(3√2)² = 18π in²