Answer:
y = -8x + 43
Step-by-step explanation:
Parallel lines have the same slope. The line g is -8x - 1 and has slope -8.
To find a line parallel to it, substitute m= -8 and the point (5,3) to determine th equation.
y - 3 = -8(x - 5)
y - 3 = -8x + 40
y = -8x + 43
For this case, what we are going to do is divide the profits in equal parts, beginning in the following way:
Nina and Phillip:
Nina: 1/2
Phillip: 1/2
Then, we have:
Phillip shared his half equally with his friends, Ezra, and Benjamin.
Therefore, we must divide Phillip's earnings by three:
(1/2) / (3) = 1/6
Finally:
Phillip: 1/6
Ezra: 1/6
Benjamin: 1/6
Answer:
Nina: 1/2
Phillip: 1/6
Ezra: 1/6
Benjamin: 1/6
Answer:
26 y + 5
Step-by-step explanation:
Simplify the following:
7 3 y + 4 3 y - 3 y - 2 2 y + 5
7×3 = 21:
21 y + 4 3 y - 3 y - 2 2 y + 5
-2×2 = -4:
21 y + 4 3 y - 3 y + -4 y + 5
4×3 = 12:
21 y + 12 y - 3 y - 4 y + 5
Grouping like terms, 21 y + 12 y - 3 y - 4 y + 5 = (21 y - 4 y + 12 y - 3 y) + 5:
(21 y - 4 y + 12 y - 3 y) + 5
21 y - 4 y + 12 y - 3 y = 26 y:
Answer: 26 y + 5
Answer:
<em>Proof in explanation</em>
Step-by-step explanation:
<u>Trigonometric Identities</u>
The basic trigonometric identity is:
We'll use it and some basic algebra to prove that, given:
And
Then
From the equation:
We have:
The equation
Can be rewritten as
Replacing [1]:
Taking the common factor:
The expression in parentheses is 1, thus:
Dividing by
Replacing in
We have
Dividing by
Now:
This expression is 1, thus it's proven: