Answer:
see attached
Step-by-step explanation:
It's almost easier for you to do this than it is to post a question on Brainly.
All you need to do is type the relevant expressions. Once you have Desmos show you the vertex, writing the x= equation for that is all that is required to draw it.
The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is ![A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7C-5%282%20-4%29%20%2B3%282%20-6%29%20-2%284%20-6%29%7C)
The coordinates of the triangle are given as:
![R = (-5,6)](https://tex.z-dn.net/?f=R%20%3D%20%28-5%2C6%29)
![S = (3,4)](https://tex.z-dn.net/?f=S%20%3D%20%283%2C4%29)
![T = (-2,2)](https://tex.z-dn.net/?f=T%20%3D%20%28-2%2C2%29)
The area (A) of a triangle from its coordinates or vertices are:
![A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7Cx_1%28y_3%20-y_2%29%20%2Bx_2%28y_3%20-y_1%29%20%2B%20x_3%28y_2%20-y_1%29%7C)
Substitute values for x's and y's
![A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7C-5%282%20-4%29%20%2B3%282%20-6%29%20-2%284%20-6%29%7C)
Hence, the expression that represents the area of the triangle is ![A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7C-5%282%20-4%29%20%2B3%282%20-6%29%20-2%284%20-6%29%7C)
Read more about areas of triangles at:
brainly.com/question/9664477
Answer:
D.
Step-by-step explanation:
To see if a line is parallel to y = -(2/3)x + 8 you need to check if the coefficients at y and x are of the same ratio. This immediately removes answers A and C, because of the wrong sign at x compared to y.
What's left is to see which of the answers B and D passes through (4, -5) by inputting x = 4 and y = -5
B.
left = -5 - 5 = -10
right = -(2/3)(4 + 4) = -16/3
So it's D. Let's verify:
D.
left = -5 + 5 = 0
right = -(2/3)(4 - 4) = 0
Checks out.
Reorder terms so constants are on the left
(3x + 7) 8x^2
8(3x +7)x^2
Distribute
Answer: 24x^3+56x^2
Answer:
C = 510
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
C - 206 = 304
<u>Step 2: Solve for </u><em><u>C</u></em>
- [Addition Property of Equality] Add 206 on both sides: C = 510