Answer:
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Multiply each variable quantity by 2 and combine.
Answer:
<em>The common ratio of the geometric sequence is -4</em>
Step-by-step explanation:
<u>Geometric Sequence</u>
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:

Make sure it's a fixed number and test with the third term:

Since both numbers coincide, the common ratio of the geometric sequence is -4
Answer:
The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
Step-by-step explanation:
The quadratic function
represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.
To find h(3), substitute t = 3 into the function expression:

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
Answer:
Step-by-step explanation:
The volume of a cube is given by the formula :
a³ (where a is the side length )
So now we have to cube these lengths :
Part A :
(3x²y)³ =
(3x²y)(3x²y)(3x²y) =
(9x^4y²)(3x²y) =
27x^6y³ (This is now fully simplified so our final answer for a)
Part B:
(5y²)³ =
(5y²)(5y²)(5y²) =
(25y^4)(5y²) =
125y^6 (This is now fully simplified so our final answer for b)
Hope this helped and have a good day
In the proof given, BC║AD and CD║BA because: B. slopes of opposite sides are equal.
<h3>What is the Slope of Parallel Lines?</h3>
If two lines are parallel, they will have the same slope value,.
Slope = rise/run.
Slope of BC = rise/run = -2/5
Slope of AD = -2/5
Slope of BA = rise/run = -6/1 = -6
Slope of BA = rise/run = -6/1 = -6
Therefore, we can conclude that BC║AD and CD║BA because: B. slopes of opposite sides are equal.
Learn more about the slope of parallel lines on:
brainly.com/question/10790818
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