Answer:
y = 2x-2
Step-by-step explanation:
First find the slope of the line
x+2y=6
2y = -x+6
y = -1/2x +3
This is in slope intercept form ( y = mx+b) so -1/2 is the slope
We want a line that is perpendicular so take the negative reciprocal of the slope
- ( 1/ (-1/2)) = 2
The slope of the perpendicular line is 2
y = 2x+b
Substitute the point into the equation
8 = 2(5) +b
8 = 10+b
-2 =b
The equation of the line perpendicular is
y = 2x-2
Answer:-3/2
Step-by-step explanation:
-2 2/6+5/6
-7/3 + 5/6
(2x-7+1x5) ➗ 6
(-14+5) ➗ 6
-9 ➗ 6
-9/6=-3/2
Answer:
$20.20
Step-by-step explanation:
First Convert 20% into a decimal, by dividing it by 100
Percent = out of 100
20/100 = 0.2
Now, multiply the decimal (0.2) with the bill amount ($100.99):
0.2*100.99
$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)
$20.20 <== how much tip you want to leave
How much you pay altogether:
(Bill + tip)
100.99 + 20.20
$121.19
Hope this helps!
Answer:
10.7 feet
Step-by-step explanation:
The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.
The hypotenuse of the triangle is 14 feet (length of ladder)
The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)
We need to find the height of the triangle. We can apply Pythagoras rule:

where hyp = hypotenuse
a = base of the triangle
b = height of the triangle
Therefore:

The wall reaches 10.7 feet high.
Division because if you divide the two functions together, you keep the 3 in the x term. If you add the two functions, your coefficient is 6. If you subtract, the x term is eliminated. If you multiply, you'll get 9x.
3 is smaller than 6 or 9 :)