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2 years ago

A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?

Mathematics

1 answer:

inessss [21]2 years ago

6 0

Answer:

B. Yes, because ED is perpendicular to DT which makes a right angle.

Step-by-step explanation:

Plot the given points and connect in pairs to get a triangle.

Visually we can say it is a right triangle as legs TD and ED seem perpendicular.

Let's confirm this by finding the slopes.

Slope of TD:

m = (-1 - 4)/(1 -(-2)) = -5/3

Slope of ED:

(-1 - 2)/ (1 - 6) = -3/-5 = 3/5

Product of the slopes is:

-5/3*3/5 = -1

This confirms DT⊥ED

Correct choice is B

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6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.

dusya [7]

Answer:

Radius = 5

center is (19,-1)

$(x-19)^2(y+1)^2= 25$

Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

(19,-1)

Equation of the circle

$(x-h)^2(y-k)^2= r^2$

h,k is the center and r is the radius

h=19 and k=-1 , r=5

$(x-19)^2(y+1)^2= 25$

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3 years ago

A ratio of 14:40 =13;?

AVprozaik [17]

Answer:

9.75

Step-by-step explanation:

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2 years ago

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Sauron [17]

Answer:

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Step-by-step explanation:

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3 years ago

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DiKsa [7]

Answer:

1/4

Step-by-step explanation:

The scale factor for area is the square of the scale factor for linear dimensions.

area scale factor = (1/2)² = 1/4

Polygon Q's area is 1/4 of the area of Polygon P.

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3 years ago

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seraphim [82]

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