Answer:
x = -2, 3.
Step-by-step explanation:
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = -2. 3.
Answer:
The Division Property of Equality
Step-by-step explanation:
<u>The Addition Property of Equality:</u> When you add something to one side of the equation, you must add the same thing to the other side.
<u>The Subtraction Property of Equality:</u> When you subtract something from one side of the equation, you must subtract the same thing from the other side.
<u>The Multiplication Property of Equality:</u> When you multiply something to one side of the equation, you must multiply the same thing to the other side.
<u>The Division Property of Equality:</u> When you divide something from one side of the equation, you must divide the same thing from the other side.
In this case, you have to divide both sides of the equation by 5 to get x = 4. That means that the division property of equality was used.
I hope this helps! Have a great day!
Answer: 3.3 per minute
Step-by-step explanation:
46.2 / 14.0 = 3.3
3.3 * 14.0 = 46.2
Hope this helps you!
Answer: The tree was 27 feet tall
Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;
Tan 38 = opposite/adjacent
Tan 38 = h/30
0.7813 = h/30
0.7813 x 30 = h
23.4 = h
We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4
Therefore the tree was 27 feet tall (approximately to the nearest foot)
