Answer:
18
Step-by-step explanation:
When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.
2*9 = 18
Answer:
I hope this helps
Step-by-step explanation:
So the way to handle a problem like this is to rewrite the three numbers in terms of their relationship to one of the three numbers. Let's call the numbers x, y, and z, where x is the first number, y is the second, and z is the third.
We know x + y + z = 83.
Since the third number is twice the second, we say that z = 2y.
Since the second number is seven less than the first, we say that y = x - 7. We can rewrite this as x = y + 7.
Now all three can be written in terms of y.
x + y + z = 83
(y + 7) + y + 2y = 83
4y + 7 = 83
4y = 76
y = 19
The second number is 19. The first is 19 + 7 or 26, and the third is 2 times 19 or 38.
A check reveals that 26 + 19 + 38 = 83.
Answer: (B) -625
<u>Step-by-step explanation:</u>
Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is 
Input those values into the Sum formula:

Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is

The time taken to reach the ground is needed. Here the ground is taken as reference so 

So, time taken by the quarter to reach the ground is 3 seconds.
Answer:
2nd graph (in the attached pics)
Step-by-step explanation:
Graphically, the <em>x-intercepts of the graph of a quadratic function are its zeroes. </em>
There can be
- no zeroes (where graph doesn't cut the x-axis at all),
- 1 zero (where graph touches the x-axis at one point only), and
- 2 zeros (where the graph cuts the x-axis at 2 points)
Looking at the figures, the 2nd graph has no real zeroes, <em>because the graph doesn't cut the x-axis at all!</em>
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So, the answer is the second graph.