Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.
y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b
so ur perpendicular equation is : y = -1/3x + 3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
x+3y=0
12y=-4x Equation/Question
Step 2
x+3y=0 Solve for x
x=-3y
Step 3
12y=-4x Substitute -3y for x
12y=12y
Step 4
12y=12y Simplify
0=0
Answer
Infinite solution
Hope this helps
Answer:
26
Step-by-step explanation:
X= Variable has the worth of zero
2x+5= 7
10x+9= 19
19+7=26
The distance is 26
Answer: 20
Step-by-step explanation:
18/20 %90
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)