Answer:
Step-by-step explanation:
"The total number of dollars in fives and tens" tells you that these denominations are being added together. Because a five dollar bill is worth $5 and a ten dollar bill is worth $10, then the number of $5 bills is represented by 5f and a the number of $10 bills is represented by 10t. Therefore,
T = 5f + 10t
We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
Answer:
40x-24y
You simplify through distribution
Answer:
32 feet of fence
Step-by-step explanation:
The garden is a square, so the length and width are equal.
A = L x W
W = L
A = W²
A = 64
W² = 64
W = √64 = ±8 -- (-8) would be extraneous
W = 8 ft
L = 8ft
Since she is putting the fence around the garden, she needs to find the perimeter.
P = 2L + 2W
P = 2(8) + 2(8)
P = 16 + 16
P = 32 ft
32 feet of fence
