Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).
Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.
The end points of segment PQ are P(2, 5) and Q(2, 1).
Therefore, after dilation, the coordinates of the end points become
Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).
Answer:
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- <u>Yes, she has enough water.</u>
Explanation:
To <em>estimate</em> the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.
For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13
Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?
To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.
What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.
That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.
Answer:
X=104 degrees
Explanation:
Opposite angles are congruent.
Answer:
Y=26 degrees
Explanation:
All interior angles of a triangle have a sum of 180(on a plane).
Y+50+104=180
Y=26 degrees
Answer:
$68.44 for each additional belt
Step-by-step explanation:
The cost and revenue functions are:
The profit function, P(x), is given by subtracting the cost function from the revenue function.
The derivate of the profit function gives us the rate at which profit changes:
For x = 484, the rate of change is:
Profit is increasing by $68.44 for each additional belt
Although the information has been presented in a baffling way in this question, but I think I understood the expressions.
We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.
We can express the monster truck tax amount as
.
Therefore, the total amount including tax will be 
.
We can now match each statement with its equivalent expression as shown below
The price of Camacho’s new truck before tax = x
The amount of tax Camacho pays = 0.13x
Camacho’s total bill for the monster truck = 1.13x
None of these = 0.87x
