The vertices of a right triangle are (–6, 4), (0, 0), and (x, 0). Find the value of x.
Answer:
Step-by-step explanation:
= x - 5 ( x ≥ 3 )
(
)² = ( x - 5 )²
x - 3 = x² - 10x + 25
x² - 11x + 28 = 0
(x - 4)(x - 7) = 0
= 7
= 4
Check the answer:
1). x = 7
= 7 - 2
√4 = 2
2 = 2
2). x = 4
= 4 - 5
1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.
Answer and explanation:
Discrete random variables can be counted as integers and you can't divide them. Continuous random variables are counted as real numbers and are magnitudes that can´t be counted as an exact number (there will always be an uncertainty in the measurement).
a. The random variable is continuous. Distance is a measurement.
b. The random variable is discrete. You can count how many people are sitting at a computer.
c. The random variable is continuous. Weight is a measurement.
d. The random variable is discrete. You can count how many fishes were caught.
e. The random variable is discrete. You can count how many hints a web site had.
Let x be the number of people at University B
x + (x+3.5) = 9.5
2x +3.5 = 9.5
2x = 6
x = 3 million students at University B
x + 3.5 = 3 + 3.5 = 6.5 million students at University A
2 consecutive odd integers...x and x + 2
x + (x + 2) = 36
2x + 2 = 36 <===