Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is 
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line 
is light green, line 
is dark green, and their intersection is point A.
Simiarly, line 
is red, line 
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
Given that the diameter: d= 0.0625 inch.
So, radius of the wire : r = 
= 0.03125 inch
Now the formula to find the cross-sectional area of wire ( circle) is:
A = πr²
= 3.14 * (0.03125)² Since, π = 3.14 and r = 0.03125
=3.14 * 0.000976563
= 0.003066406
= 0.00307 (Rounded to 5 decimal places).
Hence, cross-sectional area of a wire is 0.00307 square inches.
Hope this helps you!
Answer:
Part 1) The product of 3 and 2y-4x=8 is 
Part 2) The original equation in slope intercept form is 
Part 3) The new equation in slope intercept form is
Step-by-step explanation:
we have
step 1
Find out the product of 3 and 2y-4x=8
Multiply both sides by 3
Apply distributive property both sides
step 2
Find out the original equation in slope intercept form
The equation of the line in slope intercept form is
we have
Solve for y
That means ----> Isolate the variable y
Adds 4x both sides
Divide by 2 both sides
Simplify
step 3
Find out the new equation in slope intercept form
The equation of the line in slope intercept form is
we have
Solve for y
That means ----> Isolate the variable y
Adds 12x both sides
Divide by 6 both sides
Simplify
Answer:
it goes into 67 7 times
Step-by-step explanation:
Convert to a decimal which would be 0.55 (11/20).
Then you want to multiply 0.55 by 100 (which is a whole number, all % is going to come from 100) to convert to a full % -> 0.55*100
Then you will simplify 0.55*100
You answer will be 55%.
