Answer:
The perpendicular equation is y = -3x -21
Step-by-step explanation:
Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.
To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.
First let's simplify the equation.
-5 + x = 3y (divide by 3 on both sides to get y by itself)
-5/3 + 1/3x = y or y = 1/3x + 5/3
The exact opposite of this slope would be -3.
Now plug in the point you were given so that we can find the y-intercept.
6 = -3(-9) + b (b = y-intercept)
6 = 27 + b (subtract 27 on both sides)
-21 = b
So the perpendicular equation looks like this.
y = -3x -21
Answer:
2.5 bottles
Step-by-step explanation:
10 * 500 ml = 5000 ml
5000 ml = 5 l
5/2 = 2.5
First, you want to establish your equations.
L=7W-2
P=60
This is what we already know. To find the width, we have to plug in what we know into P=2(L+W), our equation to find perimeter.
<span>60=2(7W-2+W) </span>
<span>Now that we only have 1 variable, we can solve. </span>
First, distribute the 2.
60=14W-4+2W
Next, combine like terms.
60=16W-4
Then, add four to both sides.
64=16W
Lastly, divide both sides by 16
W=4
To find the length, we plug in our width.
7W-2
7(4)-2
28-2
<span>L=26</span>
When you divide, and you the number does not fit perfectly into another, you will count how much it did not fit, and it shall be called the remainder.
Example: 10 divided by 206
206/10
10 can go into 206 only 20 WHOLE times, and their are 6 numbers left.
20*10 = 200
206 - 200 = 6
Answer:
Slope (m) = infinity
Step-by-step explanation:
Given points:
⇒ (9, 2) and (9, 27)
In order to find the <em>slope</em> of these points, we must use the <em>slope</em> formula.
So the formula is ⇒ y₂ - y₁ / x₂ - x₁
<em>Plug</em> in the<em> given </em>points:
⇒ 27 - 2 / 9 - 9
Solve both the top and bottom (<em>numerator and denominator</em>):
⇒ 25 / 0
Divide:
⇒<em> Undefined. </em>
(<em>Anything</em><em> </em>divided by <em>zero</em> is undefined).
