No. The circle can be composed of completely negative coordinates, but the radius is always a positive value. You can prove this by plugging any point and the center into the distance formula.
Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope

insert given points

((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Answer:
<u>2,365,200,000 times</u>
Step-by-step explanation:
<u>Given</u> :
- Average heartbeat rate = 60 times/minute
- Avg. human lifespan = 75 years
<u>To Find</u> :
- Number of heartbeats in lifetime of 75 years
<u>Solving</u> :
- Let the number we require be n
- n = average heartbeat rate x 60 x 24 x 365 x 75
- n = 60 x 60 x 24 x 365 x 75
- n = 3600 x 24 x 365 x 75
- n = 86400 x 365 x 75
- n = 31536000 x 75
- n = <u>2,365,200,000 times</u>
Answer:
your answer is C.
Step-by-step explanation:
Answer:
Jake's error in step 3
Step-by-step explanation:
we have

Complete the square
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2
Complete the square. Remember to balance the equation by adding the same constants to each side


step 3
Rewrite as perfect squares

Jake's error in step 3
He placed 6 instead of 3 in the left side
step 4
take square root both sides

step 5

step 6

step 7
x=5 and x=1