We will have to use the formula for the area of a trapezoid on this problem, which is (
and 
are the bases of the trapezoid and 
is the height):
All we need to do is substitute the information we are given into our formula:
Now, let's just simplify the equation:
The missing base has a length of 13 units.
Answer:
7²
Step-by-step explanation:
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
Answer:
y = -5
Step-by-step explanation:
Isolate y:
-3x + 9y = -57
9y = -57 + 3x
y = (-57/9) + (3/9)x
Substitute for x:
y = (-57/9) + (3/9)(4)
y = (-57/9) + (12/9)
y = (-45/9)
y = -5
Answer:
5! (5 factorial) or 120 ways
Step-by-step explanation:
You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.
You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways
Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try
