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Kisachek [45]
2 years ago
5

The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?

Mathematics
2 answers:
MAVERICK [17]2 years ago
4 0

Answer:  The correct option is (C) a right triangle.

Step-by-step explanation:  The given co-ordinates of a polygon are A(2, 1), B(7, 1), C(2, 4).

We are to select the correct type of the polygon.

Since we have the co-ordinates of the three points A, B and C, so the polygon will surely be a triangle.

Now, the lengths of the three sides AB, BC and CA of ΔABC can be calculated using distance formula as follows :

AB=\sqrt{(7-2)^2+(1-1)^2}=\sqrt{25+0}=\sqrt{25}=5,\\\\BC=\sqrt{(2-7)^2+(4-1)^2}=\sqrt{25+9}=\sqrt{34},\\\\CA=\sqrt{(2-2)^2+(1-4)^2}=\sqrt{0+9}=\sqrt{9}=3.

We have

AB^2+CA^2=5^2+3^2=25+9=34,\\\\BC^2=(\sqrt{34})^2=34.

This implies that

AB^2+CA^2=BC^2,

which is the Pythagorean triple. Hence, triangle ABC is a right-angled triangle.

Thus, (C) is the correct option.

Vesnalui [34]2 years ago
3 0
It appears to be a right triangle.
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Dmitriy789 [7]

Answer:

21

Step-by-step explanation:

yeah 2+2 is 21 thanks for the very nonexistent question

4 0
2 years ago
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Which is the graph of f(x) = (x + 3)(x - 2​
yanalaym [24]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x - 2​) has two zeros:  One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).  

The axis of symmetry is a vertical line located halfway between -3 and 2:  

x =  -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers.  Note that the x-intercepts of the first graph are -3 and 2,  Thus, the first graph is the correct one.

5 0
2 years ago
When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units
alexira [117]

Answer:

r=1/π

Step-by-step explanation:

Area of the circle is defined as:

Area = πr²

Derivating both sides

\frac{dA}{dr}=2πr

\frac{dA}{dt}  =  \frac{dA}{dr} x \frac{dr}{dt}  =  2πr\frac{dr}{dt}

If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : \frac{dA}{dt}  =2\frac{dr}{dt}

Therefore,

2πr \frac{dr}{dt}  =  2  \frac{dr}{dt}

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5 0
3 years ago
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Which of the following points is not collinear with (3, 6) and (-2, -9)?
Lilit [14]
Its B, cause it’s collinear
5 0
3 years ago
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A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
harina [27]

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

4 0
2 years ago
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