ANSWER

EXPLANATION
The equation of a circle given the center (h,k) and radius r is given by:

The circle has center (4,0) and radius

We substitute the center and radius to get,



Step-by-step explanation:
AB = square root of [(xA-xB)^2+(yA-yB)^2]
AB=Squarerootof(-1-11)^2 +(-3-(-8))^2=Squarerootof(-12)^2+(5)^2)
AB=Squarerootof((144)+25)= Squarerootof(169)=13 the answer is 13 units
The choice D is the right one
Answer:
<h3>5 hours</h3>
Step-by-step explanation:
Given the expression for the amount of water needed to completely fill the hot sub expressed as;
H(x) = 400 – 50x
x is the total number of hours
To get the number of hours it has been filling if it is still has 150 gallons to go, we will substitute h(x) as 150 and find x as shown;
150 = 400 - 50x
150 - 400 = -50x
-250 = -50x
x = -250/-50
x = 5
Hence it has been filling for 5 hours
Answer:
(x² + 4)(x - 3)
or
A
Step-by-step explanation:
Step 1: Write out expression
x³ - 3x² + 4x - 12
Step 2: Factor by grouping
x³ - 3x²
x²(x - 3)
4x - 12
4(x - 3)
Step 3: Combine
(x² + 4)(x - 3)
Answer:
m = 17.5
Step-by-step explanation:
Given 0.2m=3.5, we want to solve for m. This involves isolating m on the left side. To accomplish this, divide both sides by 0.2, obtaining:
m = 3.5/0.2, or m = 17.5