Since It's parallel to <span>y=5x-9 the slope of this new line is 5
so the equation looks like </span><span>y=5x+b
to find be we just replace x by 2 and y by 3
3=10-b so b = -7
the equation is </span><span>y=5x-7</span>
IT IS D!!!! i know because C stands for juice and your buying 2 of them and the 6 stands for the $6 for bagels, hope you get it right!
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
Write it in y= mx+b form. Subtract 5x from both sides to get 4y = -5x + 100. Divide by 4 so the answer would be y= -5/4x + 25.
Answer:
3.92
×
10
^18
Step-by-step explanation:
(7 x 10^*9)(5.6 x 10^*8)
(7000000000)(560000000)
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
