Answer:
40/3, 172/3, respectively
Step-by-step explanation:
x + 9 = 2y
2x = 2y + 2
x + 9 = 2(2x - 2)
4x - 4 = x + 9
3x - 13 = 0
x = 13/3
y = 40/6
RT = 13/3 + 9 = 40/3
QS = 160/3 + 4 = 172/3
Let's use the "elimination by addition/subtraction" method to solve this system for x and y.
<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y
Now combine the following, column by column:
</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.
Now subst. 7 for y in either of the original equations and calculate x:
<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.
Solution is 5, -7 (or, better written) (5, - 7).</span>
Answer:
The home printer is faster.
Step-by-step explanation:
25 photos in 12.5 minutes
12.5 is half of 25 and therefore this is a two to one ratio.
So 2 photos print in 1 minute with the office printer.
And 4 photos in 2 minutes(this is relevant later)
The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.
So 5 photos in 2 minutes. This is faster than the office printer.
To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes
Answer:
The answer is
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
L(7,-1) and M(-2, 4)
The distance between them is
We have the final answer as
Hope this helps you
