Answer:
1
= -----------
6(x + 7)
Step-by-step explanation:
3x - 21 x^2 - 49
----------- ÷ -------------
18x - 18 x - 1
3x - 21 x - 1
----------- × -------------
18x - 18 x^2 - 49
Factor the top left:
3x - 21 = 3(x - 7)
Factor the bottom left:
18x - 18 = 18(x - 1)
Factor the new bottom right:
x^2 - 49 = (x + 7)(x - 7)
Multiply and simplify the faction:
3(x - 7) x - 1
----------- × -----------------
18(x - 1) (x + 7)(x - 7)
1
= -------------
6(x + 7)
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:
<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:
Let's equate both equations for area and find x first:
We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8
Answer:
6+(-2)
Step-by-step explanation:
6 is positive but we are subtracting 2. Therefore, the expression is 6 plus -2. It is negative because that is what we are taking away. The plus sign does not mean anything because there is a negative number. When you look at it, you immediately read 6 plus -2 and since it is a negative not a positive then it's subtracting not adding.
Answer:
$ 9.5
Step-by-step explanation:
total money is $20
on lunch = 1/8 × 20 = 5/2 = $2.5
on movies = 2/5 × 20 = $8
total spent = 2.5+8 =$ 10.5
left money = 20-10.5 = $ 9.5
