Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope
insert given points
((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Answer:
WhAt THe fAwK!!.....
Step-by-step explanation:
Answer:
n = 8
Step-by-step explanation:
The angles are vertical angles and so they are equal
9n = 8n+8
Subtract 8n from each side
9n - 8n = 8n+8-8n
n = 8
Answer:
21 scoops
Step-by-step explanation:
We will divide the amount the recipe calls for, 3 1/2 cups, by the size of the scoop, 1/6 cup:
3 1/2 ÷ 1/6
Convert the mixed number to an improper fraction. Multiply the whole number by the denominator and add the numerator; 3(2)+1 = 6+1 = 7; this makes it 7/2:
7/2 ÷ 1/6
To divide fractions, flip the second one and multiply:
7/2 × 6/1
42/2 = 21
[f(x)*g(x)] = [(x - 6)*(x)] = x^2 - 6x