
The formula of the sum of the arithmetic sequence:

calculate:

substitute

Your answer is:
Answer:
The surface area of the triangular prism is 84 square centimeters.
Step-by-step explanation:
The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.
Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.
But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:
The two congruent triangular bases:
1/2 x 4 x 3 = 6 cm^2
6 x 2 = 12 cm^2
Lateral bottom rectangular face:
6 x 3 = 18 cm^2
Lateral to the right rectangular face:
5 x 6 = 30 cm^2
Lateral to the left rectangular face:
4 x 6 = 24 cm^2
Add up all the values:
12 + 18 + 30 + 24 = 84
The SA is 84 square centimeters
5 because if you multiply the previous value by 5, you get the next answer
Answer: y= - 2/3x+6
Step-by-step explanation:
Just plug in values into this equation (slope intercept form)
y=mx+b
3 is x value
4 is y value
m is the slope which is - 2/3
So after you plug in the values, solve for b ("b" is the y intercept):
4=-2/3(3)+b
4=-2+b
b=6
Then add in the b value into your equation and you will get y= - 2/3x+6
You need to combine like terms and subtract 30. How you find the answer is you work the problem first 1. Distribute the 6 (18x+30)-4x=35 then 2. combine like terms 18x and -4x. (14x+30)=35 then 3. Subtract 30 from both sides (14x)=5