Answer: The expressions for the length and width of the new patio are
And the area of the new patio is 384 sq. feet.
Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
The length of one side of the square patio is represented by x.
We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.
Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be
The length of the patio is increased by 4 feet, so the length of the new patio will be
Now, if the original patio measures 20 feet by 20 feet, then we must have
and
Therefore, the area of the new patio is given by
Thus, the expressions for the length and width of the new patio are
And the area of the new patio is 384 sq. feet.
Answer: XY=15
Step-by-step explanation:
I just took the test
(5x^2-21x-20)/(5x^2-16x-16)
((x-5)(5x+4))/((x-4)(5x+4))
(x-5)/(x-4)
x² - 3 x - 54 = x² + 6 x - 9 x - 54 = x ( x + 6 ) - 9 ( x + 6 ) = ( x + 6 ) ( x - 9 )
x² - 18 x + 81 = ( x - 9 )²
x² + 12 x + 36 = ( x + 6 )²
... = ( x + 6 ) · ( x - 9 ) / ( x - 9 )² * ( x + 6 )² / ( x + 6 ) = ( after cancellation )
= ( x + 6 )² / ( x - 9 )
After solving the given problem, I’ve been able to get 3(x-2) / 2(x-3) as the simplified form of the given equation. I am hoping that this answer has satisfied your query and it will be able to help you, and if you would like, feel free to ask another question.
If I understand clearly, the expression is
(18st^4/52s^3t)(16s^3/9s^2t)
To simply the expression, we simply have to multiply the constants and reduce the product to the lowest terms and apply the laws on exponents to simplify the variables. So, the answer would be:
8t^2/13s
(40v^2)/(35v^4) / (20v^3)/(5v)
(8)/(7v^2) / (4v^2/1)
(8)/(7v^2) * (1 / 4v^2)
2/(7v^4)
Question is incomplete.
The observation are as follows;
Outcome ---- Frequency
2 ---- 3
3 --- 6
4 -- 8
5 --- 11
6 --- 14
7 ---- 16
8 --- 15
9 ---- 12
10 ---- 9
11 ---- 5
12 ---- 1
Answer:
The probability of rolling a number less than 10 is 0.85
Step-by-step explanation:
The probability of rolling a number less than 10 is calculated as follows;
Let x = the observation.
We're asked to solve P(x<10).
This means that we consider only numbers of observation less that 10
P(x<10) = Number of required outcome/Number of possible outcome.
Number of required outcome is summation of all observation less than 10.
This is calculated as follows;
Number of required outcome = 3+6+8+11+14+16+15+12
Number of required outcome = 85.
Number of possible outcome = summation of all observation
Number of possible outcome = 3+6+8+11+14+16+15+12+9+5+1
Number of possible outcome = 100
P(x<10) = 85/100
P(x<10) = 0.85
Hence, the probability of rolling a number less than 10 is 0.85
