Answer:
x = -5
Step-by-step explanation:
The graph is a V-shaped graph that opens up.
The axis of symmetry is a vertical line that passes through the vertex.
Answer: x = -5
Answer: The fire is 3.5 miles from tower B
Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.
The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;
a/SinA = b/SinB or
a/SinA = c/SinC
Depending on the sides and angles we are given and the ones we are to calculate.
The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines
a/SinA = c/SinC
(Note also that a is directly facing angle A, c is directly facing angle C, and so on)
a/SinA = c/SinC
a/Sin 42 = 5/Sin 74
By cross multiplication we now have
a (Sin 74) = 5 (Sin 42)
Divide both sides of the equation by Sin 74 and we now arrive at
a = 5 (Sin 42)/Sin 74
a = 5 (0.6691)/0.9613
a = 3.3455/0.9613
a = 3.4802
{rounded to the nearest tenth of a mile, a equals 3.5}
Therefore the distance from tower B to the fire is approximately 3.5 miles
Answer:
To do this question, you need to put the numbers in least to greatest. Greatest to least will <u>not</u> work and will be incorrect.
It will be:
-3, -1, 0, 1, 5, 6, 7, 8, 10, 13
Now you have to cancel each number out from each end.
You will get the numbers:
5, and 6.
You have to find the average of this so:
5 + 6 = 11
11 ÷ 2 = 5.5
So the answer is 5.5.
If you were looking for the greatest common factor, you'd want to see the list of their factors.
A prime factorization breaks it down as far as possible and as a result has as few high numbers as possible. If you want the number to be as great as possible, you would want to see the list of all the factors.
Answer:
1. 15
2. -2
Step-by-step explanation:
First, since -4 is in parentheses, we want to take it out of parentheses. This might make sense but now it becomes 12 + 7 - 4. If it doesn't make sense, I'm sorry because I don't know how to explain it. Now we add 12 to 7 and we come out with 19. Then we subtract 4 and get 15. We want to do the same for number 2. We take -6.25 out of the parentheses and we have -1.75 - 6.25 + 6. When you subtract a negative something from a negative, we get more negative. So now we have -8 + 6. Which then equals -2. I hope this helps!