Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4
so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well
Answer: 1 / 12
Step-by-step explanation:
1 / 4 x 1 / 3 = 1 / 12
T=8√t
T=temperature
t=time in minutes.
If T=48, we have to calculate the time.
48=8√t
(48)²=(8√t)²
2304=64t
t=2304 / 64=36
answer: 48 degrees Celsius will be reached in 36 minutes.
See the attached picture.
Answer:
x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
4 (5 x + 9)^2 - 33 = -21
Add 33 to both sides:
4 (5 x + 9)^2 = 12
Divide both sides by 4:
(5 x + 9)^2 = 3
Take the square root of both sides:
5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)
Divide both sides by 5:
x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)
Divide both sides by 5:
Answer: x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5