Answer:
13 levels
Step-by-step explanation:
Direct variation can be expressed using the formula:
y = kx, where 'k' is the constant of variation
Since Michael can move up 5 levels in 55 minutes:
n = km, where 'n' is the number of levels and 'm' is the number of minutes:
5 = 55k
k = 1/11
To find the number of levels after 143 minutes:
n = (1/11)(143)
n = 13 levels
Answer:
There is a 25/81 probability that Grace will make both of her next two shots.
Step-by-step explanation:
The probability of her making the first shot is 5/9.
The probability of her also making the shot after that is still 5/9, that does not change.
To find the probability of both of those events, multiply the fractions.
5/9 * 5/9
25/81.
Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C