Answer:
1/2
Step-by-step explanation:
When two lines are parallel, the slopes are the same. In an equation y=mx+b, "m" is the slope which in this case is 1/2. If the lines are perpendicular, the slopes would multiply to -1. So... if they were asking for perpendicular, the answer would be -2.
Answer:
0
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 5) / (4 - 9)
= 0 / -5
= 0
Answer:
b) Chemistry
Step-by-step explanation:
To compare both scored we need to standardize the scores using the following equation:

Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:

Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15
At the same way, 80 on Calculus is equivalent to:

Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13
Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.
Answer:
x = 240 feet
Step-by-step explanation:
It is given that,
The angle of depression is 30 degrees from the bottom of the boat to a deep sea diver at the depth of 120 ft.
We need to find the distance x the diver must swim up to the boat. It can be calculate by applying trigonometry as follows :

So, the distance the diver must swim up to the boat is 240 feet.
Definitions:
1. A real number can be represented on a number line.
2. A rational number can be represented as a fraction, with both the numerator and denominator as integers. The denominator cannot be zero.
3. An irrational number has decimals that go on indefinitely.
4. An integer is a real number that is countable.
5. A repeating decimal has a group of numbers that repeat indefinitely as decimals.
6. A complex number involves the use of the quantity i, defined as i² = -1.
Answers:
a. 7/8
Real, Rational.
b. √36
Real, Rational because its value is +6 or -6.
c. √24
Real, Irrational.
d. 0.75
Real, rational because 0.75 = 3/4.
e. 0
Real, rational
f. √(-100)
Complex, because √(-1) * √100 = +/- i√100
g.

Irrational, Repeating decimal because

h -18/6
Real, Integer, Rational because -18/6 = -3.