Answer:
r = 15.2
Step-by-step explanation:
Where AB meets the circle creates a right angle. This is a right triangle problem involving missing sides. This means that we will use Pythagorean's theorem to find the length of the radius. Pythagorean's theorem applies this way:
Foiling the right side gives us the equation:
When we combine like terms, we find the squared terms cancel each other out, leaving us with
100 = 6r + 9 and
91 = 6r so
r = 15.2
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106
Answer:
20x-8=18x+6
Step-by-step explanation:
20x-18x=6+8()2x=14()x=14/2=7
Answer: A
Step-by-step explanation:
In this question, you can disregard the initial $13.90 cost because we're only looking for an INCREASE in price. If the Johnson family used 200 cubic feet MORE of water, we need to multiply 2 * 1.45 which gets us 2.90. We multiply 2 by 1.45 because 200 represented in x is 2, since x is represented in hundreds.
Answer:
556
Step-by-step explanation:
Find out how much 1.4% is of 500 which is 7
so 7 x 8 = 56
now we add it 500 + 56 = 56
