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belka [17]
3 years ago
13

Question Progress

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer: 54

Step-by-step explanation: no need for explanation

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On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negativ
oksian1 [2.3K]

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

A=\frac{1}{2} bh

  • b is the base of the triangle
  • h is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\

Substituting the coordinate points:

A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2

Recall that:

A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h=   1.6 units

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: brainly.com/question/17335144

8 0
2 years ago
A is the center of one circle, and B is the
andreyandreev [35.5K]

Answer:

a

Step-by-step explanation:

because it goes to one side to another

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100

Step-by-step explanation:

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What is the inverse of the function f(x) = 2x + 1?
Alexandra [31]

Answer:

f^{-1}(x) = \frac{x-1}{2}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x and let x = f^{-1} (x), thus

f^{-1}(x ) = \frac{x-1}{2}

6 0
3 years ago
Which of the following systems of equations is an example of one where substitution is the best method?
blondinia [14]

Answer:

The answer is option D.

I hope this helps.

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