Answer:
10
Step-by-step explanation:
using HYPOTHENUS theorem
8^2 + 6^2 = x^2
64 + 36= 100
√100=10
To solve this problem, we must first find the fraction of action figures that Lee has gotten so far. To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.
First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday. To find the total number of action figures that Lee has, we must add together these two parts.
11+3 = 14
Therefore, Lee has 14 action figures (this will become the numerator of the fraction). The denominator of the fraction is the total number of action figures, which we are given is 22.
Thus, our fraction is 14/22.
To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:
14/22 = 0.636363636
Therefore, your answer is approximately 0.636.
Hope this helps!
The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.
Answer:
i) 20m/s
ii) 4s
iii) 144m
iv) 2 m/s
Step-by-step explanation:
Please see attached picture for full solution.
P(x) = 2x² - 4xq(x) = x - 3
To find the answer, we plug q(x) into p(x):
p(q(x)) = 2(x - 3)² - 4(x - 3)p(q(x)) = 2(x² - 6x + 9) - 4x + 12p(q(x)) = 2x² - 12x + 18 - 4x + 12p(q(x)) = 2x² - 16x + 30
The third option is correct.
