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3 years ago

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?

Mathematics

1 answer:

LuckyWell [14K]3 years ago

8 0

The area of a triangle is determined by the formula: Base x Height * 1/2

You'll need to assign a base to the triangle. Based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). The distance between any two numbers is found by just subtracting them. Here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

So the distance (aka the length of the base) is 4. The height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). We should subtract the y values this time to find the height/distance.

4 - 1 = 3

So the height is 3.

Base = 4

Height = 3

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Someone help me with this geometry homework !!!!!! 10 points!

Reil [10]

Answer: 3a = (0, 1) 3b = (2, 1) 3c = (2.5, 1) 3d = (1.6, 1)

4a = (2, 3.5) 4b = (2, 3) 4c = (2, 5.375)

<u>Step-by-step explanation:</u>

The length of AB is 6 and is horizontal (affects the x-coordinate)

$3a)\quad 6\bigg(\dfrac{1}{2}\bigg)\quad =3\qquad \qquad A(-2, 1) +(3, 0)= C(1,1)\\\\\\3b)\quad 6\bigg(\dfrac{2}{3}\bigg)\quad =4\qquad \qquad A(-2, 1) +(4,0)= C(2,1)\\\\\\3c)\quad 6\bigg(\dfrac{3}{4}\bigg)\quad =\dfrac{9}{2}\qquad \qquad A(-2, 1) +(4.5,0)= C(2.5,1)$

$3d)\quad 6\bigg(\dfrac{3}{5}\bigg)\quad =\dfrac{18}{5}\qquad \qquad A(-2, 1) +(3.6,0)= C(1.6,1)$

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The length of AB is 5 and is vertical (affects the y-coordinate)

$4a)\quad 5\bigg(\dfrac{1}{2}\bigg)\quad =\dfrac{5}{2}\qquad \qquad A(2, 1) +(0,2.5)= C(2,3.5)\\\\\\4b)\quad 5\bigg(\dfrac{2}{5}\bigg)\quad =2\qquad \qquad A(2, 1) +(0,2)= C(2,3)\\\\\\4c)\quad 5\bigg(\dfrac{7}{8}\bigg)\quad =\dfrac{35}{8}\qquad \qquad A(2, 1) +(0,4.375)= C(2,5.375)$

4 0

3 years ago

a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t

True [87]

9514 1404 393

Answer:

3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

7 0

3 years ago

The answer for your question is a 1;3 because 16/48=1/3 or 1:3.

tiny-mole [99]

1:3 = 16/48 and 1/3.

Have a nice day! :D

4 0

3 years ago

Which ratio is the odd one out 4:20. 3:15 8:39 1:5 10:50

Oksana_A [137]

Answer:

8:39

Step-by-step explanation:

because when simplified, all the rest are 1:5

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3 years ago

kenzie bought a shirt for $18. the next day she saw the shirt was selling for 24.60. what is the percent increase

Luba_88 [7]

You are trying to solve what percent of the difference between $26.60 and $18 is of $24.60, so:

$24.60 - $18 = $6.60

24.60x = $6.60
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So the percent increase is 26.83%

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3 years ago

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ​ ?

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?