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natulia [17]
2 years ago
8

7. Which is the area of a rectangle TYOC with vertices T(-6, 6), Y(2, 10), 0(4, 6),

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:b

Step-by-step explanation:

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Point B has coordinates ​(​1,2​). The​ x-coordinate of point A is -8. The distance between point A and point B is 15 units. What
Xelga [282]

Answer:

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}} (1)

Where:

l_{AB} - Length of the line segment AB.

x_{A}, x_{B} - x-coordinates of points A and B.

y_{A}, y_{B} - y-coordinates of points A and B.

If we know that l_{AB} = 15, x_{A} = -8, x_{B} = 1 and y_{B} = 2, then the possible coordinates of point A is:

\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15

81 + (2-y_{A})^{2} = 225

(2-y_{A})^{2} = 144

2-y_{A} = \pm 12

There are two possible solutions:

1) 2-y_{A} = -12

y_{A} = 14

2) 2 - y_{A} = 12

y_{A} = -10

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

8 0
3 years ago
75, 75, 68, 11, 81, 69, 83, 13, 83<br> Calculate the range.
Fudgin [204]

Answer:

72

Step-by-step explanation:

The greatest number in this set is 83

The smallest number is 11

We subtract the greatest from the smallest number in a set to find the range

83-11=72

8 0
2 years ago
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How long does it take to drive 341 miles at 63 miles per hour?
Diano4ka-milaya [45]
If you maintained an average speed of 63 mph, the time to drive 341 miles would be about 5 hours and 24 minutes<span>. You would have to add time for stops, detours and other delays.</span>
3 0
3 years ago
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Does the function y = 8x represent a direct or inverse variation
liraira [26]
This is direct variation since the x isn't in the denominator.
3 0
3 years ago
An inequality that contains at least one variable
soldier1979 [14.2K]

Answer: x-4 ≥12

Step-by-step explanation:

Hi, to answer this question we have to know what an inequality and a variable are:

Inequality: An inequality is a expression that compares two values, showing if one is less than, greater than, or simply not equal to another value.

Variable: is a symbol for a number that is unknown: they usually are letters (x;y).

An inequality that contains at least one variable could be:

x-4 ≥12

5 0
3 years ago
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