Step-by-step explanation:
2 ( 8 - 3c) = 4c - 34
16 - 6c = 4c - 34
6c + 4c = 16 + 34
10c = 50
c = 50/ 10
therefore c = 5
Hope it will help :)
63 + 36...there is a common factor of 9
9(7 + 4) <== this is equivalent
63 + 36...there is a common factor of 3
3(21 + 12)...but this is not an answer choice...but it is equivalent
Answer:
B. y ≤ |x – 2| + 4
Step-by-step explanation:
Shading is <em>below</em> the <em>solid</em> line, so the appropriate relation symbol is "less than or equal to" (≤).
Shading is <em>below</em> when y values less than those on the line are part of the solution set.
The line is <em>solid</em> when it is part of the solution set (dashed, otherwise). It is part of the solution set when y-values <em>equal to</em> those on the line are solutions to the inequality.
Answer:
20 minutes
Step-by-step explanation:
To make one round of the field, Lisa will have to cover the entire perimeter of the field.
The perimeter of a rectangle = 2(l+w) Where L = length and W = width.
The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m
Lisa's average running speed = 100m/min
The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.
To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.
the frequency of the sinusoidal graph is 2 in 2 π interval
Step-by-step explanation:
The frequency of the graphs refers to the number of the cycles, the graph completes in a given fixed interval.
We already know the formula that
P= (1/ F)
Thus, F= (1/ P)
Where F= frequency and P= Period
Period is the horizontal length (x- axis component) of one complete cycle.
Thus, Observing the above graph
We find that the graph completes 1 cycle in π interval and 2 cycles in 2π interval
Thus, the frequency of the sinusoidal graph is 2 in 2 π interval