Answer:
x = 10
Step-by-step explanation:
For the lines to be parallel, the two angles must have the same measure:
80 - x = 90 - 2x
x = 10 . . . . . . . . . add 2x-80
The value of x must be 10 to make the lines parallel.
Answer C
When the temperature of water decreases, the hydrogen bonds are formed and release a considerable amount of energy. Water has the highest specific heat capacity of any liquid. Specific heat is defined as the amount of heat one gram of a substance must absorb or lose to change its temperature by one degree Celsius
This is simply 609 000 divided by 11 000
609 000 / 11 000.
Cancel each of the 3 zeros at the top and bottom
= 609/11
Use a calculator
= 55.3636...
So it goes in approximately 55.36 times.
To solve using synthetic division:
Draw an upside down division symbol (I did the best I can given the format). Place the constant of x - 1 (1) on the outside, and the coefficients of x³ - 2x² - 1 on the inside, like so:
| x³ x² x¹ x⁰
1 | 1 -2 0 -1
|
|___________
Next, bring down the first coefficient.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
|
|___________
1
Multiply the number on the outside of the symbol (1) by the coefficient you've just brought down (1). Place that number under the next coefficient to the right.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1
|___________
1
Add the new number (1) to the coefficient above it (-2) and place that number directly underneath it.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1
|___________
1 -1
Continue this process until you've run out of numbers to multiply.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1 -1 -1
|___________
1 -1 -1 -2
The resulting numbers are coefficients. The first three are part of the quotient, and the last one is part of the remainder. The remainder becomes the last coefficient (-2) over the divisor (x - 1).
Answer:
(x³ - 2x² - 1) / (x - 1) = x² - x - 1 + -2/x - 1
