if you have a rectangular banner and the length is 44 inches and has a perimeter of 156 inches and an area of 1496 square inches
1 answer:
Well there's two ways to approach this:
1.) Finding the width and going from there
2.) Finding the scale factor
I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is
.
The area is multiplied, not added, so you have to <em>square</em> the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95
1.) Finding the width and going from there
2.) Finding the scale factor
I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is
The area is multiplied, not added, so you have to <em>square</em> the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95
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Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula . We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula and substitute the x and y values of the given points into it. Then, simplify to find the slope, or
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula and substitute values for
,
, and
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer: