Answer:
length: 12 ft
area: 72 square feet
Step-by-step explanation:
Let L represent the length of the mat in feet. Then L/2 is the width and the perimeter is ...
P = 36 = 2(L +L/2) = 3L . . . . . substitute the given information and simplify
12 = L . . . . . . divide by 3
The length of the mat is 12 ft.
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The width of the mat is L/2 = 6 ft, and the area is the product of length and width.
Area = (12 ft)(6 ft) = 72 ft^2
The area of the mat is 72 square feet.
The answer is 11 because if you look at the chart. You can see everything can be divided by 8 and 88 divided by 8 is 11.
Step One
Figure out the interior angle
25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.
180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is
interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)
154.2857 / 180 = 1 - 2/n)
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
F(x) has only one x-intercept when x=0
g(x)=-x^2-6
g(x)=-(x^2+6) so g(x) will have no x-intercepts as its maximum value will be -6.
g(x) is f(x) reflected about the x axis and shifted downwards by 6 units.