Answer:
50.5 m^3
Step-by-step explanation:
Volume of pyramid = 1/3 × base area × height.
- Height: 11
- Base Dimensions: 4.3 and 3.2
Area of Base:
Next, we multiply 13.76 by 11.
Lastly, divide by 3 and round to nearest tenth.
- 151.36 ÷ 3
- 50.453333..
- ≈ 50.5
Therefore, the answer is 50.5 m^3
The answers are congruent and intersecting
Answer:
y= 4x-7
Step-by-step explanation:
First, we need to find the slope. We can do this by using the formula:
1) y₂-y₁/x₂-x₁
2) 9-5/5-3
3) 4/2
4) The slope is 2
Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.
5) y-y₁=m(x-x₁)
6) y-5 =4(x-3)
7) Now we just simplify this equation to make it slope intercept form (y=mx+b)
8) y-5= 4x-12
9) y=4x-7
And there you have it :)
Answer:
Plot the points in black and connect them.
Plot the point in blue and count up 3 and to the right 1. Plot and connect the points.
Step-by-step explanation:
Using your cursor/mouse, you will first choose the color black. Then you will plot the points given to you (2,2) and (5,8) by first finding the x-coordinate of (x,y). Start at 2 on the x-axis. Follow the grid line up two units so you will also be at the 2 on the y-axis. Plot or draw a dot/circle on this grid line. Go back to the x-axis and start again at 5 on the x-axis. Follow the grid line up eight units so you will also be at the 8 on the y-axis. Plot or draw a dot/circle on this grid line. Connect the dots for your line.
Using your cursor/mouse, you will choose the color blue. Then you will plot the point given to you (10,5) by first finding the x-coordinate of (x,y). Start at 10 on the x-axis. Follow the grid line up five units so you will also be at the 5 on the y-axis. Plot or draw a dot/circle on this grid line. Instead of plotting another point. This time you will count from the blue point up three units and over to the right one. Mark this grid line as a point. Now connect them.
Answer:
g(x) = -2x - 5
2x becomes -2x as a reflection across the y-axis
add on -5 to shift the function 5 units down