Answer:
Answer in explanation
Step-by-step explanation:
Before this we do this question let's get fimiliar with what's a function.
A function is a equation that when graphed, each input(x) correspond to one output(y). This means one inputs can't map to the diffrent output.
The vertical line test is just puting a vertical line anywhere on the function. If the vertical line touches more than two points your graph is not a function. If it touches one you graph is a function. The reason is because a vertical line that touches 2 points means one x maps to two diffrent y and thats not a function.
In conclusion the graph does pass the vertical line test so it is a function.
Hope this helped!,
JoeLouis2
It is undefined so i think it would be no
So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!
Answer:
Step-by-step explanation:
Let the speed of plane is p and speed of the wind is w.
<u>Then we have:</u>
- 10*(p + w) = 1120 ⇒ p + w = 112
- 20*(p - w) = 1120 ⇒ p - w = 56
<u>Sum the two equations and solve for p:</u>
- p + w + p - w = 112 + 56
- 2p = 168
- p = 84
<u>Find w:</u>
- 84 + w = 112
- w = 112 - 84
- w = 28
