Answer:
y=1.2x-5
Step-by-step explanation:
Parallel lines are equal lines that never intersect or touch each other.
When a problem gives you information about the line being parallel to another, you'll know the slope of the line is going to be the same.
<span>if it is travelling 20 feet in 1/5 of a second that means that in 1 second (which is 5 times as much as 1/5 of a second) it will do 5 times 20 feet hence 100 feet. Then in 3 seconds it will do 300 feet</span>
<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>
Answer:
![y = \frac{1}{2} x - \frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%5Cfrac%7B5%7D%7B2%7D)
Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line,
. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be
.
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:
![(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}](https://tex.z-dn.net/?f=%28y-%20%28-4%29%29%20%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%20%28-3%29%29%5C%5Cy%20%2B%204%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20%2B%203%29%29%5C%5Cy%20%2B%204%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B3%7D%7B2%7D%20-%204%5C%5Cy%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B3%7D%7B2%7D%20-%20%5Cfrac%7B8%7D%7B2%7D%20%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%20%5Cfrac%7B5%7D%7B2%7D)
Therefore,
is our answer. If you have any questions, please do not hesitate to ask!
Answer:
17160
Step-by-step explanation:
first there are 13 options
then there are 13 - 1 that was chosen
then there are 13 - 2 that were chosen
then there are 13 - 3 that were chosen
so that's 13 options, then 12 options, then 11 options, and then 10 options
and in order to figure out all of the possibilties we mutiply the options so
13*12*11*10 = 17160
little further explaining of why this works:
we have a set of letters (3 in a set)
A B C
what are the possible combinations?
AB
AC
BC
BA
CA
CB
the answer is 6 which is also 3 * 2 * 1 = 6
HOPE THAT HELPS!1! ^_^