Answer:
46
Step-by-step explanation:
Let 
represent a number with 
in the ten's position and 
is the one's position.
This means actually has value of 
.
We are given the sum of those digits of is 10; this means 
.
It says if 18 is added to the number , then the result is 
.
So has value and
has value 
.
We are given then:
Subtract 
on both sides:
Simplify:
Subtract on both sides:
Divide both sides by 9:
Rearrange by commutative property:
So the system of equations we want to solve is:
-------------------------Add equations together (this will eliminate the variable and allow you to go ahead and solve for :
Divide both sides by 2:
Simplify:
If and , then 
. since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
Answer:
A and D
Step-by-step explanation:
Third degree polynomials refers to polynomials that has 3 as the greatest power of the variable.
A. 3 x y − 3 x y^2
Degree = 1 + 2 = 3
This option is correct
B 2y - xy^3 + 7
Degree = 1 + 3 = 4
This option is wrong
C. 3x^3y^2 -3x^2y + 10y^2 - 10y
Degree = 3 + 2 = 5
This option is wrong
D. 3x^2y+5xy
Degree = 2 + 1 = 3
This option is correct
E. 3y^3 + 3x^3 y^4
Degree = 3 + 4 = 7
This option is wrong
Answer:
4j+24k
Step-by-step explanation:
Expand by distributing terms.
4j+4\times 6k
4j+4×6k
2 Simplify 4\times 6k4×6k to 24k24k.
4j+24k
4j+24k
We know that
[Area of the regular pentagon]=5*[side length * apothem] / 2
side length=7.1 m
apothem=4.9 m
then
Area=5*[7.1 * 4.9] / 2-----------> 86.975 m²----------> 87 m²
the answer is 87 m²
