Answer: -8x^3y^2 (choice B)
The coefficients multiply to 4 times -2 = -8
the x terms multiply to x^2 times x = x^(2+1) = x^3
The y terms multiply to y times y = y^(1+1) = y^2
So that's how I ended up with -8x^3y^2
Answer:
f(1) = 8
Common ratio: 0.5
Step-by-step explanation:
f(1) means the firs term in a sequence.
In the function f(n), represented by 8, 4, 2, 1, .., the first term is 8.
f(1) = 8
To find the common ratio, divide any term by the term before it.
We can use any two of the given terms in the sequence EXCEPT for 8 because it is the first term and does not have a term before it.
I choose to divide the second term by the first term:
4/8 = 1/2 = 0.5
Expand
x^2+3x-10=18
minus 18 both sides
x^2+3x-28=0
find what 2 numbers mutiply to -28 and add to 3
7 and -3
(x+7)(x-3)=0
set each to zero
x+7=0
x=-7
x-3=0
x=3
x=-7 and 3
If you're trying to simplify, 3 5/8+ 2 7/8 = 6 4/8. So 10 1/8 + 6 4/8 is 16 5/8
Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
__
<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
