Answer:
V = −1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3=−2v−v
3=−2v+−v
3=(−2v+−v)(Combine Like Terms)
3=−3v
3=−3v
Step 2: Flip the equation.
−3v=3
Step 3: Divide both sides by -3.
<u>−3v</u> = <u>3</u>
-3 -3
v=−1
Answer: 72 u^2
<h3>
Explanation:</h3>
What we know:
- Both triangles are identical
- Both rectangles are different
- There are values in units^2 given
- There are right angles
How to solve:
We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)
<h2>
Process:</h2>
Triangles
Set up equation A = 1/2(bh)
Substitute A = 1/2(4*3)
Simplify A = 1/2(12)
Solve A = 6
Double *2
A = 12 u^2
Rectangles
Set up equation A = lh
Substitute A = (14)(3)
Simplify A = 42 u^2
Set up equation A = lh
Substitute A = [14-(4+4)](3)
Simplify A = (14-8)(3)
Simplify A = (6)(3)
Multiply A = 18 u^2
Total Area
Set up equation A = R1+R2+T
Substitute A = 42 + 18 + 12
Simplify A = 60 + 12
Solve A = 72 u^2
<h3>
Answer: 72 u^2</h3>
Answer: cubic inches.
Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.
Answer:
(2, -2) and (1,-3)
Step-by-step explanation:
The y-intercept means that the coordinate where the line touches the y-axis. In other words, the y value(-4) when x=0. The result is (0, -4). The y coordinate also can be used to fill c variable of y=mx + c
We have 2 coordinates now, (3, -1) and (0, -4), then we can find out the line equation. We need to find the slope (m), the formula will be:
m= y2-y1 / x2-x1=
m= -4 - (-1) / (0-3)
m= -3/-3= 1
The line equation is:
y= mx + c
y= 1x + (-4)
y= x-4
After you have the equation, you can try to test the point individually to find if any of them fit the equation. You can also draw a line on the graph and see if any point touches the graph.
Red dot is the two point we have, red line is straight line that made from both point, and blue point is the option. As you can see on the graph, the points that touch the line will be (2, -2) and (1,-3)
