Answer:
80°
Step-by-step explanation:
Since they are vertical angles, they are congruent to each other.
∠r ≅ 80°
Answer:Rate of change is 7
Option B is correct.
Step-by-step explanation:
We need to find the average rate of change for from x = 4 to x = 6
The formula used to find average rate of change is:
Where b = 6 and x = 4
Finding f(6):
Finding f(4):
Now Putting values:
So, Rate of change is 7
Option B is correct.
Keywords: Rate of Change
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Answer:
72
Step-by-step explanation:
bacause the equation of area of square is a^2 and 12×12=144 so each side is 12 feet and the height is 6 making it 12×6 so 72 square feet
Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range
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Some define the triangle inequality using < rather than ≤. Be careful here.