X + 2y = 6
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2
parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.
y = -1/2 x - 5 ....m= - 1/2.... parallel
-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither
x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel
hope it helps
Answer:
The points represent that <u>5 miles </u> were hiked in <u>3 hours.</u>
Step-by-step explanation:
So, lets go over what we need to know.
The x coordinates is the time.
The y coordinates is the miles.
We have (3, 5)
This is (x, y)
x = 3, and y = 5. Considering what we know above, the time is 3 hours, and the miles is 5.
To fill in the boxes, it asks "Blank miles are hiked in blank hours"
We know 5 miles are hiked in 3 hours.
So the fill in for the first part is 5, and the fill in for the second part is 3.
Hope this helps!
Answer:
a. The constant = 45
b. The unit rate is 45 miles per hour
c. d = 45t
Step-by-step explanation:
a. ∵ d ∝ t
∴ d = kt
∵ d = 90 at t = 2
∴ 90 = k(2)
∴ k = 90 ÷ 2 = 45
∴ The constant of proportionality is 45
b. ∵ k = d(miles) ÷ t(hours) = 45
∴ The unit rate is 45 miles per hour
c. The equation is ⇒ d = 45t
Answer:
85 i think
Step-by-step explanation:
First, we need to add up all the percentages to make sure we have 100%.
25.5% + 0.03% = 25.53%
This means that 74.47% of the students chose something other than basketball or soccer.
The amount of students you stated there were was 2553.
25.5% of 2553 is 651 students and
0.03% is 8 students.
Now, we divide 651 by 8 to determine the amount of times over basketball was chosen.
651 ÷ 8 = 81
Basketball was chosen 81 times over again compared to soccer.
To find how much more times basketball was chosen, subtract 8 from 651
651 - 8 = 643
Basketball was chosen 643 times more than soccer.
