Answer:
∠C = 30°
Step-by-step explanation:
From the given diagram
∠F = ∠C, that is
2x - 30 = x ( add 30 to both sides )
2x = x + 30 ( subtract x from both sides )
x = 30, thus
∠C = x = 30°
We want to know how many 1/8's are in 3/4, so we divide.
Flip the 2nd fraction and multiply:
Multiply the numerators and denominators together:
Divide:
the domain is the x value (first number) and the range is the y value (second number)
(if a number appears more than once in the domain or range, like in number 1 you don't have to write it again.)
to graph the domain and range you just plot the points,
and to map them you have to put the x values in the first oval and the y values in the second, usually in order from smallest to largest.
then you have to draw arrows connecting each x value to the y value that was in the same pair. just like when writing down the domain/range, if a number comes up again you don't have to write it down again. instead, you might have two or more arrows connecting to the same number.
Answer:
5r^3 + 4r^2 - 8r + 16
Step-by-step explanation:
(8 + 5r^3 - 2r^2) - (8r - 8 - 6r^2) =
The first set of parentheses is there just to show you that what is inside is a polynomial. The second set of parentheses has a second polynomial inside. The subtraction sign just to the left of the second set of parentheses shows that you are subtracting the second polynomial from the first one.
The first set of parentheses is not needed and can be dropped.
You are subtracting the second polynomial fromt he first one, so you can think of the the subtraction sign as a -1, and you need to distribute the -1 by the second polynomial, That will result in all signs inside the second set of parentheses changing.
Below, just the first set of parentheses is removed.
= 8 + 5r^3 - 2r^2 - (8r - 8 - 6r^2)
Now, we change every sign inside the second set of parentheses by distributing -1.
= 8 + 5r^3 - 2r^2 - 8r + 8 + 6r^2
Now we need to combine like terms. Like terms have the same variable part. We can rearrange the terms grouping like terms together before combining them. Also, it is customary to list the terms in descending order of degree.
= 5r^3 - 2r^2 + 6r^2 - 8r + 8 + 8
Now we combine like terms.
= 5r^3 + 4r^2 - 8r + 16
