Answer:
y=1/2x+5
Step-by-step explanation:
first you have to find the slope by using
so when you plot in your points and you will get 1/2x.
then you need to find your y-intercept
and since you don't have a 0 you have to slove by using y=mx+b (slope-intercept) formula
you plug in your points and you will get
b=5 and that is how you get your equation.
Answer:
k = -19/6
This picture should help you out.
First you distribute -4 among everything in the parenthesis. You will get -4k - 16.
Next you subtract 3 from -16, to get -19.
After that you add 4k to 2k, to get rid of -4k, and you get 6k.
So 6k = -19, and finally you divide 6 on both sides of the equal sign to get k = -19/6.
Hope this helped :)
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
Answer:
(x + 7)(x - 7)
Step-by-step explanation:
We need to factor [ x² - 49 ]
The middle number is 0 and the last number is -49.
Factoring is when we fill in the blanks for [ (x + _)(x + _) ]
We need to know what goes in the blanks, we need to know:
- two numbers that add to get 0
- two number that multiplied together get -49
We can try 7 and -7.
7 + (-7) = 0
7 * (-7) = -49
This works, so fill in the blanks for the factor.
(x + 7)(x + (-7))
(x + 7)(x - 7)
Best of Luck!