Answer:
y = -4x - 4
Step-by-step explanation:
If we have two lines in slope intercept form as
then the product of the slopes 
In other words, 
We have the first line as
The slope of this line is 
The slope of a perpendicular line will be the negative of the reciprocal of this line
Reciprocal of 1/4 is 4
So slope of perpendicular line is -4 which implies
y = -4x + c
We have to determine c
Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c
8 = (-4)(-3) + c
8 = 12 + c
c = -4
So the equation of the perpendicular line is y = -4x - 4 (Answer)
It is always a good idea to plot these graphs and see if they fit the data provided
The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)
We can simplify this equation and find the value of k.
k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.
Step 1) Find the circumference
C = pi x diameter
C = 3.14 x 3
C = 9.42
Step 2) Divide the length of the string by the circumference
90.42 / 9.42 = 9.5987
The string would make approximately 9.60 turns around the test tube.
Hope this helps!! :)
X= 4/7 because it would be
4/35x=16/245
which would be 28x=16
simplified it would be 4/7
Answer:
x2 = 60
Step-by-step explanation:
If the variables x and y are inversely proportional, the product x * y is a constant.
So using x1 and y1 we can find the value of this constant:
Now, we can use the same constant to find x2:
So the value of x2 is 60.
