Answer:
Step-by-step explanation:
There are several things we need to do/know to figure this out. First we have to know that the perpendicular slope to a line is the opposite reciprocal of the slope of which it is perpendicular (did that make sense?!). In other words, we have to find the slope of the line 5x - 8y + 24 = 0 and then take the opposite reciprocal of it. Solving for y:
with a slope of 5/8. The perpendicular slope, then, is -8/5. So we have m now in y = mx + b. Now onto the second equation...
The equation for which we need the same x-intercept is 7x - 12y - 70 = 0. The x-intercept exists when y = 0, so filling in a 0 for y:
7x - 12(0) = 70 and
x = 10. Now we know x. We also know, however, that when x = 10, y = 0, so we have everything we need to sub into the linear equation and solve for b:
0 = -8/5(10) + b and
0 = -16 + b so
b = 16 and the equation we are looking for is
y = -8/5x + 16
The fraction for this in simplest form id 53/200
Answer:
12 inches
Step-by-step explanation:
Since you know your multiplication tables, you know that 57 = 3·19, so the wire is 3 cents for each inch. Then you also know that 36 = 3·12, so 12 inches of wire will cost 36 cents.
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You can also write the proportion ...
19 in/(57 cents) = x/(36 cents)
Multiplying by 36 gives
x = (19 in)·36/57 = 12 in
Answer:
5.25
Step-by-step explanation:
Hours watched: 6,5,5.5,4
First, to do this proceedure, you need to put it in order!
In order- 4,5, 5.5,6
Then start by crossing out the lowest number and highest number until you get 1 or 2 numbers in this stiuation you have 2 numbers.
If you have 2 numbers then you are going to add and then divide by how many numbers there are.
So 5+5.5=10.5! Then you are going to divide by 2 because you have 2 numbers you are using in this data set. 10.5 divided by 2= 5.25!
BOOM! YOU GOT YOUR ANSWERRR!
Answer:
5,000
Step-by-step explanation:
hope this is right
