Answer:
Parallel
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
4x + 2y = 10 ( subtract 4x from both sides )
2y = - 4x + 10 ( divide through by 2 )
y = - 2x + 5 ← in slope- intercept form
with slope m = - 2
and
y = - 2x + 15 ← is in slope- intercept form
with slope m = - 2
• parallel lines have equal slopes
then the 2 lines are parallel
Step-by-step explanation:
For the question 5, Noah is right, as 75/100 x 10 = 7.5, and 25/100 x 30 = 7.5
So both of then have equal amount, therefore, Noah is right.
9514 1404 393
Answer:
Step-by-step explanation:
The midline is half the length of the parallel base.
2(2x +36) = 3x +57
4x +72 = 3x +57 . . . . . . eliminate parentheses
x = -15 . . . . . . . . . . subtract 72+3x from both sides
Then the length of GH is ...
GH = 2x +36 = 2(-15) +36 = -30 +36
GH = 6
_____
The calculation steps are shown above. The strategy is to take advantage of the relation between the lengths of a midline and the corresponding base segment.
-2 is the slope of the line
Cycling = 69 - (32 + 27) = 69 -59 = 10
Badminton = 62 - (32+28) = 62 - 60 =2
Archery = 63 - (27 + 28) = 63 - 55 = 8
Total for 1 sport = 10 + 2 + 8 = 20
Pupils left = 120 - 20 = 100
Pupils that picked two sports = 27 + 28 + 32 = 87
Number of pupils to pick all sports = 100 - 87 = 13
13 pupils picked all three