Answer:
Step-by-step explanation:
1200
Answer:
A) x > -5
Step-by-step explanation:
Answer:
18, 54, 108
Step-by-step explanation:
Let the first angle is ‘x’
Second angle =3x
Third angle=2(3x)=6x
Sum of the three angles of a triangle =180 degrees
x+3x+6x=180
x=18
The first angle is 18,second angle is (3*18)=54.third angle is (6*18)=108
The angles are 18,54 and 108 degrees
The Pyth. Thm. tells us the following: (hypo)^2 = (leg 1)^2 + (leg 2)^2.
Here the hypo is 75 miles. One train traveled x miles and the other x+10 miles.
applying the Pyth. Thm.,
x^2 + (x+10)^2 = 75^2
which becomes x^2 + x^2 + 20x + 400 = 5625, or
2x^2 + 20x - 5225 = 0.
Choose a method easy for you that will lead to a solution (x-value).
Using "completing the square," I obtained x= 47.8 miles and x = 57.8 miles. I
It's very important to check one's work. Suppose x = 47.8 miles. Then x+10 = 57.8 miles.
47.8^2 + 57.8^2 = 75^ must be true. Is it?
2284.84 + 3340.84 5625
5625.6 is approx equal to 5625. Close enough.
The first train traveled 47.8 miles and the second 57.8 miles.
Answer: -9
Step-by-step explanation: When you're asked to multiply positives and negatives together, the rules are simple.
<em><u>A positive times a positive is a positive.</u></em>
<em><u>A positive times a negative is a negative.</u></em>
<em><u>A negative times a positive is a negative.</u></em>
<em><u>A negative times a negative times a negative is a positive.</u></em>
So for the problem you see here, we will use rule 2 which I have highlighted in bold above which states that a positive times a negative is a negative.
So (+3)(-3) = -9
