Answer:
The points corresponding to P=(3,4) and Q=(6,7), so the answer is D.
Step-by-step explanation:
Ok, in mathematics, given two sets X and Y, the collection of all the ordered pairs (X, Y), formed with a first element in X and a second element in Y, is called the Cartesian product of X and Y. The Cartesian product of sets allows define relationships and functions. In this case, it is a function that contains two points, denoted P and Q. Given, the ordered pair of each, first read the one corresponding to the X axis and then to the Y axis.
For P: you read X and you see that it is on 3 (between 2 and 4), and then the Y axis is on 4 (between 3 and 5).
For Q: you read X and you see that it is on 6 (between 5 and 7) and then the Y axis is on 7 (between 6 and 8)
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Answer:
- 2 6/11 days
- 1 2/3 hours
Step-by-step explanation:
1. Add the rates in terms of houses per day.
1/4 + 1/7 = (7+4)/28 = 11/28
Then the time required in terms of days per house is the reciprocal of this:
28/11 = 2 6/11 . . . . days to paint a house, working together
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2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...
time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h
The vehicles will be separated by 25 miles after 1 2/3 hours.
Answer:
They are complementary.
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
where
A,B and C are the measures of the interior angles of triangle
In a right triangle
The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees
so
A+B+90°=180°
A+B=180°-90°
A+B=90°
Remember that
If two angles are complementary, then their sum is equal to 90 degrees
therefore
A and B are complementary angles
Y = x-3
Basically you just need to plug in an x value and solve for y
y = x - 3
y = (4) - 3
y = 1
In this case, the ordered pair of this equation would be (4, 1)
You can do this given any x or y coordinate
Hope this helps
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