Answer:
F(x) = 1/x^2
Step-by-step explanation:
F(x) = 1/x^2 is
y = 1/x^2
graph goes up to 10 each side
plug in 1,2,3,4,5,6,7,8,9,10 for x and see what y looks like
when x is 1,2,3,4,5,6,7,8,9,10
y is 1,1/4,1/9,etc
Answer:
87.5 inches long
Step-by-step explanation:
250 x 0.35 = 87.5
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

5(x + 30)
x + 30 represents the number of minutes per day he practices
5 is the number of days he practices
so 5(x+30) = the total number of minutes he practices in 5 days
For example, if he practices the piano for 20 minutes per day and the violin for 30 minutes per day, he practices a total of 50 minutes per day. For 5 days that would be 5 x 50 = 250 minutes in 5 days.
Plug that into the equation
5(x+30) = 5(20+30) = 5(50) = 250
1. Find the slope of the given line. Do this by solving <span>3x-7y+14=0 for m:
3x + 14 = 7y, which gives us m = 3/7.
2. Find the slope of a line perpendicular to this one. It's the negative reciprocal of m = 3/7, or -7/3.
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