Answer:
the answer is d.
Step-by-step explanation:
Just plug each value in the <em>x </em>column into the dependent variable equation and see if the dependent variable value is true.
The formula for distance is equal to:
d = v * t
where d is distance, v is velocity or speed, and t is
time
Since the distance travelled by the two airplane is
similar, therefore we can create the initial equation:
v1 * t1 = v2 * t2
We know that v1 = 496, and v2 = 558 so:
496 t1 = 558 t2
or
x = 558 t2 / 496
We also know that airplane 1 travelled 30 minutes (0.5
hours) earlier than airplane 2, therefore:
x = t2 + 0.5
Hence,
496 (t2 + 0.5) = 558 t2
496 t2 + 248 = 558 t2
t2 = 4 hours
x = t2 + 0.5 = 4 + 0.5
x = 4.5 hours
So the equation is:
x = 558 t2 / 496
And the first plane travelled:
x = 4.5 hours
Well first we need to make our fractions have a common denominator. Since 24 is the higher one we will turn 6 into 24. In order to do that we have to multiply our top number and bottom number by 4. 4x6=24 and 3x4=12 therefore our new fraction is 12/24. Now add 6 and 3 which is 9. After adding 6 and 3 we add our fractions. Adding fractions is kind of odd because you only add the top numbers. So, we add 10 and 12 to get 22. Our final step is figuring out if we can simplify the fraction which in this care we can! So, in order to simplify this fraction we divide by 2 which will then make our fraction 11/12 which can not be simplified. So your final answer would be 9 and 11/12. Hope this helps! :)
Answer:
(x+2) ^2 + (y-3)^2 = 25
Step-by-step explanation:
The equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x--2) ^2 + (y-3)^2 = 5^2
(x+2) ^2 + (y-3)^2 = 25
