You can converte them to a common denominator like 6. 1/2 would be 3/6. 2/3 would be 4/6.
So remember the formula for working out the slope:
(y2 - y1) ÷ (x2 - x1)
We already know two points:
(11, 5) and (20, 5) (Remember points are like (x, y)
Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11
Substitute these into the formula from the start:
(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9
And we can determine the slope is equal to 0 as 0 ÷ 9 = 0
The domain is talking about the "range" of the horizontal axis therefore you will be focusing on the x-intercepts.
The answer will be All non-negative real numbers less than or equal to 18
because the x-intercepts lies at 0 and 18. The answer makes sense because the furthest you can go is 18 ft and the closest you could go is 0 ft. The "all non-negative real numbers" puts a restriction on the least distance it could travel so that means that it stops at 0 ft because if you go any further, you will end up in the negatives and it clearly states "non-negative".
Let's find the area of each shape that makes up the prism. Let's first start with the triangles.
There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.
There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.
There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.
540+900+216
1440+216
1656
So, the surface area is 1656 m².
Answer:
144
Step-by-step explanation:
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