|x + 2| + 16 = 1
<u> - 16 - 16</u>
|x + 2| = -15
x + 2 = -15 U x + 2 = 15
<u> - 2 - 2</u> <u> - 2 - 2</u>
x = -17 x = 13
|2x + 6| - 4 = 20
<u> + 4 + 4</u>
|2x + 6| = 24
2x + 6 = 24 U 2x + 6 = -24
<u> - 6 - 6</u> <u> - 6 - 6</u>
<u>2x</u> = <u>18</u> <u>2x</u> = <u>-30</u>
2 2 2 2
x = 9 x = -15
The distance between the bottom of the lighthouse and the boat is 77.6m.
<h3>What is the
distance between the
bottom of the lighthouse and the
boat?</h3>
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
- where:
a = length - b = base
- c = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
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Answer:
Step-by-step explanation:
Put the values of x to the equation y = 2x + 2 and calculate the value of y:
x = 2
y = 2 · 2 + 2 = 4 + 2 = 6
x = 5
y = 2 · 5 + 2 = 10 + 2 = 12
x = 6
y = 2 · 6 + 2 = 12 + 2 = 14
x = 8
y = 2 · 8 + 2 = 16 + 2 = 18
Step-by-step explanation:
By Geometric mean property:
Answer:
a. 800 grams = 1.76 pounds
b. 700 grams = 1.54 pounds
Step-by-step explanation:
Here is a weight conversion problem.
In this question, we shall be making conversions from grams to pounds.
Kindly note that 453.592 grams = 1 pound as stated in the question
a. 800 grams
Kindly recall;
453.592 grams = 1 pound
800 grams = x pound
Thus;
453.592 * x = 800 * 1
x = 800/453.592
x = 1.764 pounds which is 1.76 pounds to 2 decimal places
b. 700 grams
1 pound = 453.592 grams
y pound = 700 grams
y * 453.592 = 700 * 1
y = 700/453.592
y = 1.543 pounds which is 1.54 to 2 decimal places
