Answer:
C.1/2
Step-by-step explanation:
Answer:
The right answer is:
the addition property of equality and then the division property of equality
Step-by-step explanation:
Given equation and steps to solve it are:
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides
Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3
Hence,
The right answer is:
the addition property of equality and then the division property of equality
Answer:
Option c is right.
Step-by-step explanation:
Given is a parabola y =x^2
From that transformation is done to get parabola as
y =(0.2x)^2
We find that instead of x here we use 0.2x
i.e. New x = 5 times old x
Hence there is a horizontal expansion of scale factor 5.
We can check with any point also
When y =4, x=2 in the parent graph
But when y =4 , we have x = 10 in the new graph
i.e. there is a horizontal expansion of scale factor 5.
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.
Answer:
8+18W
Step-by-step explanation:
distribute the 2 into the parentheses. 2×4 is 8 and 2×8 is 18.
