Answer:
d=8√2 = 11.31
x=3√3 = 5.20
y=6√3 = 10.39
Step-by-step explanation:
d²=8²+8²
d²=64+64
d²=128
d=√128
d=√64*2
d=8√2 = 11.31
30-60-90 triangle
x-x√3-2x
x√3=9
x=9/√3
x=3√3
y=2x
y=2 * 3√3
y=6√3
<span>D.
144 cm2
</span><span>Two congruent squares are joined to make a rectangle. The perimeter of the rectangle is 96 cm.
What is the area of the rectangle?
</span>
ANSWER
a=1 and b=-12
EXPLANATION
The hyperbola has a hole at:
x=3
and a vertical asymptote at x=-4.
This implies that the denominator of the rational function is
(x-3)(x+4)
We expand to get;
This simplifies to:
comparing to
We have a=1 and b=-12
Answer:
c. The occurrence of the site references in the paper are independent events.
Step-by-step explanation:
For each reference, there are only two possible outcomes. Either it is still good two years later, or it has vanished. So we should try to use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
However, the binomial probability distribution can only be used if the events are independent from each other.
So the correct answer is:
c. The occurrence of the site references in the paper are independent events.
When reflecting something across the y axis, the x point becomes of the opposite parity (for example, when reflecting (1,2) across the y axis, the result would be (-1,2)). In this case, we can start by doing this for each of the individual points.
J (1,4) becomes (-1,4) when reflected across the y axis
R (2,1) becomes (-2,1) when reflected across the y axis
A (3,5) becomes (-3,5) when reflected across the y axis
So, I think that your mistake was that you thought that reflecting across the y axis meant changing the y coordinate. That being said, the correct answer is A.