Answer: Length = 28 feet and width = 9 feet
Step-by-step explanation:
Let x = width of the wall.
Then, Length of the wall = 10+2x
Since , Area of rectangle = length x width
Then, as per given,
Since width cannot be negative , so x = 9
So width = 9 feet and length = 10+2(9)=10+18 = 28 feet
Hence, length is 28 feet and width is 9 feet of the wall of the barn.
We have an arithmetic sequence with
<span>a0 = 1st 3-digit number divisible by 13 </span>
<span>a0 = 104 </span>
<span>d = 13 (why?) </span>
<span>last term is largest divisible by 13 = 988 </span>
<span>how many terms? (988-104)/13 + 1 = 69 </span>
<span>S = 69/2(104+988) = 37674</span>
Answer:
The answer to your question is the letter B. x = 6
Step-by-step explanation:
Data
4x² - 48x = -144
Process
1.- Equal to zero
4x² - 48x + 144 = 0
2.- Multiply 4 by 144
4 x 144 = 576
3.- Find the prime factors of 576
576 2
288 2
144 2
72 2
36 2
18 2
9 3
3 3
1
4.- Find two numbers that added gives -48,
these numbers are -24 and -24
5.- Write the equation using these numbers
4x² -24x - 24x + 144 = 0
6.- Factor by grouping
4x(x - 6) - 24(x - 6)
7.- Factor by like terms
(x - 6)(4x - 24)
8.- Find the solutions
x - 6 = 0 4x - 24 = 0
x = 6 4x = 24
x = 24/4
x = 6
Answer:
Step-by-step explanation:
1st equation:
3 cups = 3x
3x = 75
x = 25, cup = 25
2d equation
25 + lemon* lemons= 25 + y²
25 + y² = 89
y²= 89 - 25
y²= 64
y = 8, lemon = 8
3d equation
3 circles = 3c
3c = 44
c = 44/3 = 14 2/3
4th equation
25 + 32 + 14 2/3 = 71 2/3
Answer:
-48
Step-by-step explanation:
