Distribution
Addition
Subtraction
Division
Answer:

Step-by-step explanation:
The standard form of a linear equation is
.
The given line has equation:

This is the point-slope form of the given line.
To find the standard form, we clear the fraction

We expand the parenthesis now to get:

We group the variables on the LHS and the constants on the RHS.


Multiply through by -1

This is of the form:
.
Answer:
35
Step-by-step explanation:
4 x 15 = 60
-4 x 5 = - 20
-1 x 5 = -5
60 - 20 - 5 = 35
Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
Answer:
Dividing both sides of 5x = 4 by 5 yields x = 4 _. 5 . The value of x can now be ... tuting −1 for a into the equation b = –a + 3 gives b = −(−1) + 3, or b = 4. ... ___. 82 − (2i)2 . Since i2 = −1, this can be simplified to 24 − 6i − 40i − 10. __.
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