Answer:
5. A.
6. F
Step-by-step explanation:
5. Perpendicular lines have slopes that are negative reciprocals of one another, so slope is 3
y = 3x + b
using coordinates (-6,3)
3 = 3(-6) + b
b = 21
y = 3x + 21
6. I think F is the right answer
All you need to do is multiply 10 ft times 11, 12 ft times 8, and 6 ft times ten and then when you get all of the answers add them up and you have your answer
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is
If we are looking for x when f(x) = 64, then
Take the natural log of both sides:
The rules of logs allows us to bring the x down in front:
Divide both sides by ln(2) to get:
Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
Answer:
2884.8 millimeters squared
Step-by-step explanation:
Given:
The radius of the disc is 35 millimeters, so the area of it is:
π = 3.14* = 3846.5
Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5
π = 3.14* =961.6
=> the area of the pendant = 3846.5 - 961.6 =2884.8 millimeters squared