Answer:
1.4 hour, or 1 hr 24 min
Step-by-step explanation:
The trains separate at the rate (80 + 90) mph.
Recall that distance = rate times time, or time = distance / rate.
238 mi
Here, the elapsed time is -------------- = 1.4 hr, or 1 hr 24 min
170 mph
Answer:
Prime number: A prime number has factor of only 1 and itself.
Ex: 3: 1 and 3 are the only ways to compose 3.
A whole number that has factors other than 1 and itself is called a composite number.
Ex: 8: the factors of 8 include 1,2,4,8
Circle 5,7,2,19,3,11
Box 18,20,22,16,15,30,26,38,45,10,21,6,14
To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)
Continute until all of the factors are (im not sure)
Prime factorization is written exponential form (im not quite sure)
30= 2x3x5
30= 2^1 3^1 5^1
24=2 × 2 × 2 × 3
24= 2^3 x 3
sorry idrk if they are all right
Reduces to ,7=19. no solutions
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
1st pic: -25<-20
2nd pic: point c
Step-by-step explanation: