62
1 point
What is the surface area of the triangular prism shown in the picture?
Remember a triangular prism has 5 faces! *
25 m
14 m
10 m
24 m
25 m
uared meters

976 m²

Step-by-step explanation:

In the picture attached, the prism is shown.

The area of the two triangles are: 14*24*(1/2) = 168 m²

The area of the rectangle at the bottom is: 10*25 = 250 m²

The area of the side rectangle at the left is: 10*14 = 140 m²

The area of the side rectangle at the right is: 10*25 = 250 m²

The surface area of the triangular prism shown is: 2*168 + 250 + 140 + 250 = 976 m²

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!