Answer:
8( 3x+2y) ( 9x^2 -6xy +4y^2)
Step-by-step explanation:
216x^3 + 64y^3
Factor out the greatest common factor of 8
8( 27x^3 +8y^3)
Rewriting
8 ( (3x)^3 + (2y)^2))
Recognizing this as the difference of cubes)
a^3 + b^3 = (a+b) (a^2-ab+b^2)
8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)
=8( 3x+2y) ( 9x^2 -6xy +4y^2)
Answer:
Geometric and a common ratio of 7
Step-by-step explanation:
I found this out by dividing all the number and for each time I divided. I always got 7
Ex. 21÷3, 3÷3/7, 3/7÷3/49
Hope this helped
Repeat this on number 6.. all you have to follow is match up the sides and angles
Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
Answer:
1) For 3 tickets, the cost is $12
2) For 5 tickets, the cost is $20
3) $28 can purchase 7 tickets
4) For 10 tickets, the cost is $40
Step-by-step explanation:
1) For 3 tickets
8 = 2
x = 3
(8 ÷ x) = (2 ÷ 3)
Cross multiply,
2x = 8 x 3
2x = 24
x = 24 ÷ 2
x = $12
Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.
I hope this helps.
