Answer:
y = 4x - 6
Step-by-step explanation:
12x - 3y = 18 is in standard form. We need to convert it to slope-intercept form, which looks like y = mx + b, with m being the slope and b being the y-intercept.
We know that 12x has to do with our slope, and 18 is our y-intercept. We need to put those on the right side of the equation so that we can isolate y on the left side:
12x - 3y = 18
Subtract 12x from both sides.
-3y = -12x + 18
Now, we can divide both sides by -3 to get y by itself.
y = 4x - 6
And that looks like slope-intercept form (y = mx + b).
Hopefully this was helpful! If you have more questions, let me know. :)
Answer:
C and B
Step-by-step explanation:
Parallel is when two lines are exactly parallel from eachother which means they both have to go in the same direction. It has to be two lines that dont meet up with eachother when you continue the lines.
The angles with measures (5x + 4y)º and 74º are congruent because they form a pair of alternate interior angles between the parallel horizontal bars, so
5x + 4y = 74
The other two labeled angles are also congruent because they are corresponding interior angles that occur between the parallel vertical bars, so
20x + 4y = 164
Then
(20x + 4y) - (5x + 4y) = 164 - 74
(20x - 5x) + (4y - 4y) = 90
15x = 90
x = 6
which means
5*6 + 4y = 74
4y = 44
y = 11
One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
mart [117]
Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
Remember that
The formula to calculate the slope between two points is equal to
<em>Find the slope of the first line</em>
we have the points
(-3,-1) and (1,-9)
substitute in the formula
<em>Find the slope of the second line</em>
we have the points
(1,4) and (5,6)
substitute in the formula
Simplify
<em>Compare the slopes</em>
Find out the product
therefore
The lines are perpendicular
1190 pairs of shoes are defective
<em><u>Solution:</u></em>
Given that shoe company found that 4.25% of the production is defective
The company made 28,000 pairs of shoes
To find: Number of pairs of defective shoes
From given information, 4.25% of the production is defective which means 4.25% of 28,000 pairs of shoes
Defective shoes = 4.25% of 28,000
Defective shoes 
Defective shoes 
Thus 1190 pairs of shoes were defective
