Check the picture below.
since the width is just a dimension unit, it can't be -31.
what is the length? well, the length is w + 30.
Multiply out as indicated: <span>9(r - s) + 5(2r - 2s) = 9r - 9s + 10r - 10s. Next, combine like terms, obtaining 19r -19s (answer)</span>
Answer:
Lateral Area = 176 cm²
Step-by-step explanation:
The prism is a rectangular prism
Formula for Lateral Area of the rectangular prism = 2(l + b)*h
Where,
Length (l) = 4 cm
Breadth (b) = 4 cm
Height (h) = 11 cm
Plug in the values
Lateral Area = 2(4 + 4)*11
= 2(8)*11
= 16*11
= 176 cm²
<h2>Answer:
</h2>
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer
(3,1)
Explanation
(6,2) is the same as (3,1) because the x value and y value are proportional, meaning you multiplied or divided both the x value and y value by the same number.
6 divided by 2 is 3.
2 divided by 2 is 1.
(1,3) doesn't work because the x value and y value are switched.
6 divided by 6 is 1.
2 divided by 6 is not 3.
(8,12) doesn't work because the x value and y value are switched... and it wouldn't work anyways.
6 divided by 3/4 is 8.
2 divided by 3/4 is not 2.
(12,8) doesn't work because the x value and y value aren't proportional.
12 divided by 2 is 6.
8 divided by 2 is not 6.
Therefore only (3,1) could be another ratio to (6,2).
