Answer:
( 
, 3 )
Step-by-step explanation:
Given the 2 equations
y = 9x → (1)
6x - y = - 1 → (2)
Substitute y = 9x into (2)
6x - 9x = - 1, that is
- 3x = - 1 ( divide both sides by - 3 )
x =
Substitute x = into (1) for corresponding value of y
y = 9 × = 3
Solution is ( , 3 )
Answer:
C
Step-by-step explanation:
In division when bases are same you do top exponent minus bottom exponent.
So here you do t^(12-6) which is t^6.
Answer:
729x¹⁵ + 1000
This is a case of a sum of cubes.
729 is the cube of 9
1000 is the cube of 10
x¹⁵ is the cube of x⁵
A sum of perfect cubes can be factored into
(a + b) (a² - ab + b²)
(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)
(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION
9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)
729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000
729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000
729x¹⁵ + 1000
Step-by-step explanation:
is already in simplest form.
But if you meant to say
, we would combine the first two terms.
Adding/subtracting like terms is the same as adding/subtracting whole numbers.
Therefore:
Which gives us:
Area of the trapezoid = 1/2(B+b)h
where
B= length of the longer side of the trapezoid which is equal to 14 ft
b= shorter shorter side of the trapezoid which equal 8 ft
h = height of the trapezoid which is equal to 4 ft
Area of the trapezoid = 1/2 (14+8)4
Area of the trapezoid yard fence of Duc is 44ft^2
