Answer:
is the point
Step-by-step explanation:
...............
Answer:
Yes, they are parallel
Step-by-step explanation:
Find the slopes of the lines using rise over run (y2 - y1) / (x2 - x1)
Find the slope of line M:
(y2 - y1) / (x2 - x1)
(2 - 0) / (-3 + 5)
2/2
= 1
Find the slope of line N:
(y2 - y1) / (x2 - x1)
(4 - 2) / (0 + 2)
2/2
= 1
So, the two lines have the same slope of 1, meaning that they are parallel because parallel lines have the same slope.
They are parallel.
Answer:
d
Step-by-step explanation:
<33
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 <em>multiply by -1.75</em> -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 <em>does not change </em>2.25a + 1.75c = 635.50
<em>Add these equations together</em>
-1.75a - 1.75c = - 514.50
<u><em> </em></u><u>2.25a + 1.75c = 635.50 </u>
<em> </em> .50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50