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iren [92.7K]
3 years ago
11

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

Mathematics
1 answer:
inessss [21]3 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.

<u>Slope of TD:</u>

  • m = (-1 - 4)/(1 -(-2)) = -5/3

<u>Slope of ED:</u>

  • (-1 - 2)/ (1 - 6) = -3/-5 = 3/5

<u>Product of the slopes is:</u>

  • -5/3*3/5 = -1

This confirms DT⊥ED

Correct choice is B

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4(a+2)=14-2(3-2a)
mylen [45]

Answer:

All real numbers

Step-by-step explanation:

There is 3 possible solutions to a linear equation:

  • One solution -a unique x value that makes the equation true
  • No solution - a false statement is given after solving without a value for x
  • Infinite solution - a true statement is given after solving without a value for x

Solve using inverse operations:

4(a+2)=14-2(3-2a)

4a+8=14-6+4a

4a-4a+8=8+4a-4a

8=8

Is 8=8? Yes. Therefore this is a true statement with no value for x. Infinite solutions or all real numbers.


6 0
3 years ago
6x - 5y = 11<br> y = 7x + 21<br><br> What is the correct answer to this problem?
evablogger [386]

Answer:

X=-4, y=-7

Step-by-step explanation:

6x-5y=11.     1st equation

y=7x+21    2nd equation

6x-5(7x+21)=11. Sub value of y in 2nd equation (7x+22) into 1st equation

6x-35x-105=11. Solve by distributative property

-29x-105=11.   Add x values

-29x=116.         add 105 to both sides

x=-4.                Solve for x

solve for y:

y=7x+21

y=7(-4)+21

y=-28+21

y=-7

check answer by substituting x and y into either equation

6x-5y=11

6(-4)-5(-7)=11

-24+35=11

11=11

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3 years ago
I meedddddddde helppp plsss pls
Marina86 [1]
Your answer is 300 miles
3 0
3 years ago
What does “normal space” refer to? Justify your answer.
vivado [14]
A normal space<span> is a </span>topological space X<span> that satisfies </span><span>Axiom T4</span><span>: every two disjoint </span>closed sets<span> of </span>X<span> have disjoint </span>open neighborhoods<span>.</span>
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3 years ago
A race walker completed a 13 mile walk in 2.5 hours. What is the walker's speed per hour?
Viktor [21]

Answer:

5.2mph

Step-by-step explanation:

Speed =distance/time

13/2.5=5.2 mph

4 0
3 years ago
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