For this case we must factor the following expression:
Rewriting the expression:
We factor using the formula of the square difference:
Where:
So:
From the second term we have:
Finally, the factored expression is:
Answer:
The correct answer is 600. For area do you Base times height which is 20×30 which equals 60.
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
We can calculate for the slope of the line using the
formula:
m = (y2 – y1) / (x2 – x1)
From the given values:
m = (4,000 – 10,000) ft / (15 – 0) min
m = -400 ft/min
This means that the altitude is decreasing by 400 ft per
minute.
> The slope is –400 . This means that the helicopter
descends 400 ft each minute.
I have no idea good question though 69=y
