First find the area of the whole pizza.
The formula for area of a circle is Area = PI x r^2
The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.
I will use 3.14 for PI since the problem doesn't say what value to use.
Area = PI x 65.5^2
Area = 3.14 x 4290.25
Area = 13,471.39 square feet
Divide the total area by the number of pieces:
13,471.39 / 50 = 269.43 square feet
To find the length of the crust first find the circumference of the whole pizza:
Circumference = PI x diameter
Circumference = 3.14 x 131 = 411.34 feet
Now divide the total by the number of pieces:
411.34 / 50 = 8.23 feet
Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.
Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71
I'm assuming the function is f(x) = (2x+8)/(x^2+5x+6). If so, make sure to use parenthesis to indicate that you're dividing all of "2x+8" over all of "x^2+5x+6" as one big fraction. Otherwise, things are ambiguous and it leads to confusion.
Side Note: x^2 means "x squared"
Factor the numerator: 2x+8 = 2(x+4)
Factor the denominator: x^2+5x+6 = (x+2)(x+3)
There are no common factors between the numerator and denominator. So there is nothing to cancel out.
Recall that you cannot divide by zero. Something like 1/0 is undefined.
We need to find the x values that cause the denominator to be zero.
Set the denominator equal to zero and solve for x
x^2+5x+6 = 0
(x+2)(x+3) = 0
x+2 = 0 or x+3 = 0
x = -2 or x = -3
The x values x = -2 or x = -3 will lead to the denominator being zero. This means that the vertical asymptotes are x = -2 or x = -3 as shown by the blue dashed vertical lines in the attached image.
Answer:
0
Step-by-step explanation:
The slope of a line is Change in y
--------------------
change in x
y does not change
0
------
change in x
Slope = 0
Horizontal lines have 0 slope
Vertical lines have undefined slope
The Distributive Property states: a(b+c) = ab+ac.
5(6+12) is the expression.
5•6+5•12 is the product of the Distributive Property.
30+60 is the product of multiplication.
Therefore, 30+60 is the correct answer.
• We just distributed the 5 to the 6 and 12 because the entire expression of 6+12 is being multiplied by the 5, hence there are parentheses.
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