answer:
x = - 9/2
y = -10
Step-by-step explanation:
make both equations look like y =
2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7
-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2
now make the equations equal to each other (since they both equal y)
get x
2/3x - 7 = 3x + 7/2
-7 -7/2 = 3x - 2/3x
-14/2 -7/2 = 9/3x - 2/3x
-21/2 = 7/3x
(3/7) -21/2 = x
x = (3/7) -21/2
x = - 63/14
x = - 9/2
put it back in an equation to get y
y = 3x + 7/2
y = 3(-9/2) + 7/2
y = -27/2 + 7/2
y = -20/2
y = - 10
brainly.com/question/12203001
Answer:
6.4 minutes
Step-by-step explanation:
The question gave us the following details:
Average speed = 60mph
Time spent on trip = 8 hours
Average speed of express train on way back = 75mph
T = distance/speed
D = distance
V = speed
T = d/v
d = v(t)
d = 60 x 8
= 480
Such that
480/75
= 6.4 hours.
That is 6 hours 40 minutes is the length of time it would take on the trip home.
Thank you!
Answer: ?
Step-by-step explanation:
Answer:
The area of rectangle EFGH is 
Step-by-step explanation:
For this problem I assume that rectangle ABCD and rectangle EFGH are similar
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
Let
z ------> the scale factor
The scale factor is the ratio between the diagonals of rectangles
so
step 2
Find the area of rectangle EFGH
we know that
If two figures are similar, then the ratio of its areas is the scale factor squared
Let
z------> the scale factor
x -----> area of rectangle EFGH
y ----> area of rectangle ABCD
so
we have
substitute and solve for x
X = <span> least integer
x + 2 = </span><span>middle integer
x + 4 = </span><span>greatest integer
x + x + 2 - (x + 4) = 3030
2x + 2 - x - 4 = 3030
x - 2 = 3030
x = 3030 + 2
x = 3032 </span>← least integer
middle integer = x + 2 = 3034
greatest integer = x + 4 = 3032 + 4 = 3036
Check:
3032 + 3034 = 6066
3036 + 3030 = 6066
6066 = 6066
