Answer:
7. D:61
8. A:57
9. A: 47
Step-by-step explanation:
Quesiton 7:
To find perimeter we add all the sides together.
x+2x+2x+5=145
Combine all the x's.
5x+5=145
To isolate the constants, subtract 5 from both sides.
5x=140
Now divide both sides by 5 to isolate the x.
x=28
The questions asks for the length of AC, so to find that we need to insert our new x.
AC= 2(28)+5
56+5=61
Slope is 7/3
Step-by-step explanation:
- Step 1: The equation of the line is 17 + 3y = 7x. Find the slope.
Slope intercept form is y = mx + b, where m is the slope.
⇒ 17 + 3y = 7x
⇒ 3y = 7x - 17
⇒ y = 7/3 x - 17/3
m = 7/3
⇒ Slope is 7/3
First, we determine the difference in the times between New York City and Athens. From the given above, we can conclude that the difference between the times is 7 hours. Then, we determine the time in New York when the arrived in Athens.
Time in New York : 7:30 am + (13 hours + 45 minutes)
= 21:15 or 9:15 pm of Wednesday
Then, we translate this to time in Athens by adding the difference to our answer above,
Time in Athens: 9:15 pm Wednesday + 7 hours
= 4:15 am of Thursday
Thus, the answer is letter C.
Answer:
x = 5, y = sqrt6, z = 3
Step-by-step explanation:
Step-by-step explanation:
step 1. the perfect square will look like this: (7x + a)(7x + a) = (7x + a)^2.
step 2. by performing FOIL you will get 49x^2 + 14xa + a^2.
step 3. 14a = 84. a = 6
step 4. a^2 = 36.
step 5. k = 36.
