A line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?
1 answer:
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notice the equations in slope-intercept form, the first one has a slope of -1, the second one has a slope of 1.
if the slopes are equal, and the constant is different, they lines are parallel.
if the slopes are equal, and the constant is the same the equations are exactly the same thing, and the lines are coincident, on slapped on top of the other.
if the slopes differ, like here, then they have a solution, where they intersect.
Answer:
Part 1) The scale factor is
Part 2) The dimensions of the enlarged prism are
a.Length=(8)(2)=16 ft
b.Width=(2)(2)=4 ft
c.Height=(6)(2)=12 ft
Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}
Step-by-step explanation:
we now that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
Part 1)
Find the scale factor
we know that
If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to
Part 2)
we know that
To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor
so
Length=(8)(2)=16 ft
Width=(2)(2)=4 ft
Height=(6)(2)=12 ft
Part 3) Find the surface area of the smaller rectangular prism
we know that
The surface area of the rectangular prism is equal to the area of its six rectangular faces
SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}