Number of angles = number of sides
180 - 120 = 60 (calculating the exterior angle)
360 / 60 = 6
There are 6 sides.
Hope this helps! :)
The first 3 choices are not outliers, so the answer is D.
17) replace the given number for "x" and evaluate
a) x² + 2x + 1 ; when x = 3
3² + 2(3) + 1
= 9 + 6 + 1
= 16
b) x² + 2x + 1 ; when x = -4
(-4)² + 2(-4) + 1
= 16 - 8 + 1
= 9
c) x² + 2x + 1 ; when x = 3
(-22.872)² + 2(-22.872) + 1
= 523.128384 - 45.744 + 1
= 478.384384
18) The dependent variable is affected by the other variable and is the "output" The independent variable is the input.
a) y = 3x - 5; "x" is the independent variable
b) the time of day is the independent variable (you would input the time of day to calculate the temperature).
19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.
Answer:
Step-by-step explanation:
The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.
The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.
Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.
-7 ± √37
x = --------------- => x = (-7 + √37)/2 and x = (-7 - √37)/2
2
In words: This quadratic equation has two real, unequal solutions involving the radicand 37.
20 more than what they played or 20 more than what they lost?
