The answer is, y = -1/3 - 3
Answer:
y = 5x-11
Step-by-step explanation:
The slope intercept form of a line is y =mx+b where m is the slope
y = -1/5 x-3
The slope is -1/5
Lines that are perpendicular have negative reciprocal slopes
-1 /(-1/5)
-1 * -5/1
5
The slope of the line that is perpendicular is 5
y=5x+b
Using the point (4,9)
9 = 5(4)+b
9 = 20+b
9-20 =b
-11
y = 5x-11
Answer:
<em>The speed of a boat in still water is 6 miles per hour. </em>
Step-by-step explanation:
t =
(upstream)
t =
(downstream)
=
40 ( s - 2 ) = 20 ( s + 2 )
40s - 80 = 20s + 40
20s = 120
s = 6 mi / h
<em>The speed of a boat in still water is 6 miles per hour.</em>
There are two ways to approach this.
Option #1:
Use the slope formula
.

That value is undefined, so the slope is undefined.
Option #2:
Because the two points have the same x-value, they will be vertically above/below one another. This means your line is a vertical line and the slope of a vertical line is undefined.
Either way, your slope is undefined.
Answer:
1,215 Superscript one-fifth x
Step-by-step explanation:
Given:
The expression to simplify is given as:
![(\sqrt[5]{1215})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7B1215%7D%29%5Ex)
We know that,
![\sqrt[n]{a} = a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3D%20a%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Here, 
So, ![\sqrt[5]{1215} = 1215^{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B1215%7D%20%3D%201215%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D)
So, the above expression becomes:
Now, using the law of indices 
Here, 
So, the expression is finally simplified to;

Therefore, the second option is the correct one.
= 1,215 Superscript one-fifth x