Answer:
Line 1: m = 2
Line 2: m = 2
The lines are parallel.
Step-by-step explanation:
First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.
If the slope of both lines are the same, they are parallel.
If the slope of one is the negative reciprocal of the other, they are perpendicular.
If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.
✍️Line 1, y = 2x + 5, is already in the slope-intercept form.
✅The slope of Line 1 is 2
✍️Line 2, y - 3 = 2(x + 15), is in point-slope.
We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.
y - 3 = 2(x + 15)
y - 3 = 2x + 30
Add 3 to both sides
y = 2x + 33
✅As we can see, the slope of line 2 is 2.
✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.
Answer:
60%
Step-by-step explanation:
is means equals and of means multiply
3 = P * 5
divide each side by
3/5 = P
.6 = P
Change to a percentage by multiplying by 100
60%
I suppose what makes this question annoying is that there is the question mark so what i'll do first is substitute the question mark with x. also, there are annoying parenthesis so we'll first eliminate the ones we don't need. now we just have to solve for x.
-3.4 + (-8 + 2) = (x + (-8)) + 2
adding a negative number is subtracting that number so x + (-8) = x - 8
-3.4 + 2 - 8 = x - 8 + 2
-3.4 -6 = x - 6
x = -3.4
make sure you are aware that the negative sign belongs to the number after it so -2 + 4 is not -(2+4) = -6 but rather 4 - 2 = 2.
let me know if you have any questions!
So what will it be a percentage of? it will be the percentage of the original recruits, of the original 150.
for this, we need to divide the number of recruits that left over all recruits, and multiply by 100%:

so the number of trainees decreased by 20 %
Answer:
you just have to check the first and the third box
Step-by-step explanation:
put each into slop intercept form
y+6=-5(x-2) is the same as y=-5x+4
y-2=-5(x+6) is the same as y=-5x-28
y=-5x+4
y=-5x-28
all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true