Answer:
108 cm²
Step-by-step explanation:
Area of a rectangle, A = length, l × width, w
Perimeter of a rectangle = (2 × length) + (2 × width)
42 cm = 2l + 2w
<em>but</em><em> </em>length = w + 3cm
42 cm = 2(w + 3cm) + 2w
42 cm = 2w + 6cm + 2w
42 cm = 6cm + 4w
4w = (42 - 6) cm
4w = 36 cm
》w = 9cm
》l = w + 3cm = 9cm + 3cm
l = 12 cm
Area = 12 × 9 = 108 cm²
Answer:
The sum is
.
Step-by-step explanation:
Consider the provided information.
The given expression are - 10t and t - 10t
We need to find the sum of the opposite of -10 t and t - 10t.
The opposite of -10 t is 10 t.

Remove the parenthesis.

Simplify the number

Use Additive inverse.

Hence, the sum is
.
Answer:
D. 10^10
Step-by-step explanation:
Multiplying numbers with exponents rule : 
explanation of rule : we simply keep the bases the same and add the exponents.
10^3 • 10^7
keep the base as 10 and add the exponents

Keep in mind that this only works when the bases are the same.
Answer:
The total cost of purchasing and laying sods in the rectangular yard is $2,146.67
Step-by-step explanation:
We are given the following in the question:
Dimensions of rectangular yard:
Length = 50 feet
Width = 30 feet
Area of rectangular yard =

Cost of sod = $0.32 per square foot
Total cost of sod =

Cost of laying sods = $10 per square yard
Total cost of laying sod =

Total cost of purchasing and laying the sod =

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67
P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980
Complete Equation:
p(x) = (x^2)(x - 4)^2(x +4) + 1980
or expanded form
p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980