Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is
where
is the slope of the line and
is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure
is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have
so we have to divide both sides by
to get 
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or
in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
Answer:
.95
Step-by-step explanation:
Using pythagorean theroem to calculate the missing side it's 35
35/37 = .94594597
or sin of angle a 71.07536 = .94594597
Answer:
- 6
Step-by-step explanation:
Given
y = 3(x - 1)(x + 2) ← expand factors using FOIL
= 3(x² + x - 2) ← distribute by 3
= 3x² + 3x - 6
To find the y- intercept let x = 0, thus
y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6
Thus y- intercept = - 6 ⇒ (0, - 6 )
Answer:
(5/24) gallons of gas to mow the side yard
Step-by-step explanation:
We can easily solve this proble by applying a rule of three
5/16 gallons of gas --------------------------------- for 1 backyard
x gallons of gas ------------------------------------- 2/3 backyard
x = ((2/3)/1)*(5/16) gallons of gas
x = ((2/3))*(5/16) gallons of gas
x = ((10/48) gallons of gas
x = (5/24) gallons of gas
Answer:
30 outfits
Step-by-step explanation:
First, come up with all the possibilties for one of the sweatshirts. So...
S11
S12
S21
S22
S31
S32
S41
S42
S51
S52
Count up all of those and then multiply it by three
10 * 3 = 30
Have a wonderful day!