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horrorfan [7]
3 years ago
14

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in t

he triangle be located? The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).
At which points could the vertex of the right angle in the triangle be located? Check all that apply.
(–1, 1)
(4, –2)
(1, 1)
(2, –2)
(4, –1)
(–1, 4)
Mathematics
2 answers:
bixtya [17]3 years ago
4 0

Answer:

(-1,1),(4,-2)

Step-by-step explanation:

Pie3 years ago
3 0

Answer:

(–1, 1)  and (4, –2)

Step-by-step explanation:

we know that

The vertex of the right angle of the triangle could be situated at a point with the same x-coordinate of point A and the same y-coordinate of point B or at a point with the same x-coordinate of point B and the same y-coordinate of point A

we have

A(4, 1) and B(–1, –2)

so

a point with the same x-coordinate of point A and the same y-coordinate of point B is the point (4,-2)

a point with the same x-coordinate of point B and the same y-coordinate of point A is  (-1,1)

therefore

(–1, 1)  and (4, –2)

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This can be solved using a system of equations. 
\left \{ {{x+y=80} \atop {x-4y=10} \right. 

Subtract y from both sides.
x=80-y
Substitute:
80-y-4y=80-5y=10
Subtract 80 from both sides:
5y=70
Divide both sides by 5:
y= \frac{70}{5} =14
Substitute.
x=80-14=66
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Step-by-step explanation:

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Answer:

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A transformation T: (x, y) (x + 3, y + 1). For the ordered pair (4, 3), enter its preimage point. (-1, 2) (1, 2) (7, 4)
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Answer:

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Step-by-step explanation:

we know that

The rule of the transformation is equal to

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Pre-image -----> Image

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