Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
Answer:
x = -4
Step-by-step explanation:
Hi there!
You would have to simplify the terms inside [ ] this thing, then multiply.
So let's simplify them first.
4 - (3c - 1)
use distributive property.....
4 - 3c + 1
-3c + 5
6 - (3c - 1)
use distributive property again...
6 - 3c + 1
-3c + 7
so now, multiply (-3c + 5)(-3c + 7).
(-3c + 5)(-3c + 7)
9c² - 21c - 15c + 35
9c² - 36c + 35
So your final answer is...
9c² - 36c + 35
Hope this helped! :)
(a.)
Mean= sum / n
Mean= (123+116+122+110+175+126+125+111+118+117) / 10
Mean=1243 / 10
Mean= 124.3
Median:
Rearranged the data in order first
110,111,116,117,118,122,123,125,126,175
118 and 122 are at the middle
Median=1/2(n1 + n2)
Median=1/2(118+122)
Median=240/2
Median= 120
(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).