1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
B. 11m + 4n
4. 2y<u>^3</u> - 4y^2 + y + y<u>^3</u>, exponents tell you what are like terms
C. 2y^3 and y^3
5. 4x<u>^3</u> - 3x^2 + x + 3x<u>^3</u>, combine like terms, then put in descending order
D. 7x^3 - 3x^2 + x
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
Answer:
396 miles / 22 gallons = 18 miles per gallon
468 miles / 18 miles = 26 gallons of gasoline
What I did is I took the number of miles and divided it by the number of gallons to find how many gallons of gasoline were used per mile. Then I took that number of miles and divided 468 by it because that's the number of gallons we are trying to find. We ended up with 26 gallons of gasoline for 468 miles.
Answer:
the answer is 117cm
Step-by-step explanation:
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Depending on the value of 't' and 'u', the numerical value of that expression
could have almost anything for factors.
For example, if 't' happens to be 3 and 'u' happens to be 10, then 6tu = 180,
and the factors of 6tu are
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
But that would only be temporary ... only as long as t=3 and u=10.
The only factors you can always count on, that don't depend on the values
of 't' and 'u', are
1, 6, t, u, 6t, 6u, tu, and 6tu .
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