Answer:
312 cm³
Step-by-step explanation:
volume of triangular prism = area of triangle x length
area of triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 8 x 6 = 24 cm²
Therefore, volume of the prism = 24 x 13 = 312 cm³
Answer- vertical;congruent
Answer:

Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:

Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:

Subtract:

Reduce:

So, our slope is 1/3.
Now, we can use the point-slope form, which is:

For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:

Distribute:

Add 6 to both sides:

Add:

And we're done!
To use algebra tiles to model an equation, we place the relevant number of variable rectangle tiles and number square tiles for the left side of the equation and for the right side of the equation. Then we play around with our tiles so that we end up with the rectangle tiles by themselves on one side
Answer:
2s-11
51
Step-by-step explanation:
“N fewer than Y” is Y-N, so Liza has s-11 stickers while Betty has s. They have 2s-11 stickers combined.
If Betty has 31 stickers, s = 31 and they have 2s-11 = 62-11 = 51 stickers total.