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ExtremeBDS [4]
3 years ago
6

Which of these four sets of side lengths will form a right triangle?

Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

Set 4

Step-by-step explanation:

Set 4 will form a right triangle

Natalija [7]3 years ago
3 0

Answer:

Set 4: 12 ft, 16 ft, 20 ft

Step-by-step explanation:

A right angle triangle is a triangle in which one of the angles is a right angle (i.e 90°). The side opposite to the right angle is the longest side and is called the hypotenuse. The Pythagoras theorem for a right angle triangle states the the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

For set 1:

4² + 5² = 16 + 25 = 41

6² = 36

6² ≠ 4² + 5²

It does not form a right triangle

For set 2:

8² + 12² = 64 + 144 = 208

20² = 400

20² ≠ 8² + 12²

It does not form a right triangle

For set 3:

10² + 20² = 100 + 400 = 500

30² = 900

30² ≠ 10² + 20²

It does not form a right triangle

For set 3:

12² + 16² = 144 + 256 = 400

20² = 400

20² = 12² + 16²

It forms a right triangle

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Answer:

g-1(x)=SQRT{(x-4)/2} + 4

Step-by-step explanation:

I assume that the 2 is the exponent so ^ represents exponent

We know your function is g(x)=2(x-3)^2+4

For inverse functions we swap x and y values, note g(x) is like the y value

Isolate for y

y=2(x-3)^2+4

x=2(y-3)^2+4

(x-4)/2 = (y-3)^2

SQRT{(x-4)/2} + 4 = y

Therefore g-1(x)=SQRT{(x-4)/2} + 4

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3 years ago
There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the
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Answer:

1/7 is the probability hope this helps


5 0
2 years ago
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Which equation has a graph that is a parabola with a vertex at (5, 3)?
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Answer: The equation that has a graph which is a parabola with a vertex at (5, 3) would be y = (x – 5)^2 + 3. The general form of a parabola which the vertex is not in the origin is expressed as y = a(x - h)^2 + k where (h,k) represents the vertex.

8 0
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The distance between two points is 6_/6.One endpoint is (4,-1). It is known that the y-coordinate of the other endpoint is 9.
babunello [35]

The x-coordinate of the given endpoint will be "x = 4 \pm 2\sqrt{29}".

According to the question,

The end points are:

  • (x_1,y_1) = (4,-1)
  • (x_2, y_2) = (x,9)

Distance,

  • 6\sqrt{6}

As we know,

The distance formula,

→ Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

By substituting the values, we get

→         6\sqrt{6} = \sqrt{(x-4)^2+(9+1)^2}

→          216= (x-4)^2+100

→   (x-4)^2 = 116

→       x-4 = \pm \sqrt{116}

→       x-4=\pm 2\sqrt{29}

→             x = 4 \pm 2\sqrt{29}                

Thus the above answer is right.  

Learn more:

brainly.com/question/18310956

5 0
2 years ago
What is the equivalent to this fraction <br> 6/8 &amp; 3/4 = ?
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Answer:

3/4 x 2/2= 6/8

Step-by-step explanation:

multiply 3/4 x 2/2 to equal = 6/8

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