Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = <u>2xy + 15xy</u> +<u> 4x - 5x</u>
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + <u>4b² + 3b²</u> <u>- 3 - 5 </u>
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ <u>- 3x² + 8x²</u> <u>+ 4x - 5x</u>
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y
Answer:
<em>170 </em>
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Step-by-step explanation:
If the height is 3 times the radius you can find that by: 3r
r = 3.
So: 3 x 3 = 9
The height is 9 centimeters
Volume of a cylinder (can):

Plug in what we know

Rounds to: 170
The answer is the option b. 1.
Two sides and one angle determine one unique triangle.
If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.
When that is the case you use the cosine rule.
When the known angle is not between the two sides but one of the others, you use sine theorem.
Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.
Answer:

Step-by-step explanation:
He got the slope wrong and the y-intercepz wrong