Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
Answer:
raise ^that 4 to the power of -1+2 like this
raise ^to the power -2 like this
5-2=3 <Awnser
Answer:
-1/112
Step-by-step explanation:
Answer:
$(80.5x + 69)
Step-by-step Explanation:
Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.
Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.
Thus, Gloria buys:
4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)
2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)
10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)
8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)
Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)
Open the parentheses and then simplify:
Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x
= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36
Total cost = $(80.5x + 69)
