Evan does 33 more push-ups than Lucy
let x be the number of push-ups Lucy does , then
Evan does 4x - 9 push-ups
The total number of push-ups is 61
hence x + 4x - 9 = 61 has to be solved
that is 5x - 9 = 61
add 9 to both sides
5x = 61 + 9 = 70
divide both sides by 5
x = = 14
Lucy does 14 push-ups and Evan does 4x - 9 =(4 × 14) - 9 = 47
Thus Evan does 47 - 14 = 33 more push-ups than Lucy
The sum of three consecutive integers is three times the middle one: if we call the middle one , the three numbers are
So, their sum is
Which is three times the middle one.
So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.
So, the three numbers are 15, 16 and 17
Let h,l, and w represent the height, length, and width of the building respectively
Then
The new value of h = 50m, but l remains the same.
That is l = 10m
Therefore
Hence, the width is 2.5m
Answer:
Step-by-step explanation:
Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line
Having the point P(3,5) substitue x to verify y
y=2*(3)-1=6-1=5 (3,5)
Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found
and we found the distance PQ and QA
; ,
be the APQ triangle we must find <APQ through the cosine law (graph 2).
