Answer:
162
Step-by-step explanation:
Step 1: Define
x⁴ + 9x²
x = -3
Step 2: Substitute and Evaluate
(-3)⁴ + 9(-3)²
81 + 9(9)
81 + 81
162
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

First of all, keep in mind :
m --> cm = times by 100
cm --> mm = times by 10
mm --> cm = divide by 10
cm --> m = divide by 100
so we know that a square has 4 equal sides and to find the area of a square we do base*height. now these two numbers on the base and height are the same so we're basically squaring them to get the area of 81. therefore, we do the reverse so square root 81 and we get the answer 9cm
now let's convert 9cm to mm
= 9*10 = 90
area in mm = 90mm
now let's convert 9cm to meters
= 9/100=0.09
area in m = 0.09m
and finally, we already worked out the area in cm
= 9cm
hope this helped :)
Slope intercept form is : y = mx + b
as shown the line passes through (0,-3) so the y intercept is -3
The line now is y= mx - 3
the line passes through (4,-2) so substitute x=4, y = -2 to y=mx - 3, we have:
-2 = 4m -3 so m= 1/4
Ans: y = 1/4x -3
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Answer:
x=6
Step-by-step explanation:
42 is the total, so 42/7 is 6.