The distance between both lines is 2.24 units
Step-by-step explanation:
There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.
Given
We have to find the distance of this point from y=2x+5
The formula for finding distance of a point (x,y) from a line is:
A=2
B=-1
C=5
Putting the values in the formula
Rounding off will give: 2.24 units
The distance between both lines is 2.24 units
Keywords: Equations of lines
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1. diginity
2.require
3.tuition
Answer:
12/13
Step-by-step explanation:
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
Answer:
A. None of these
Step-by-step explanation:
The largest perfect square under 100 would actually be 81 (9 x 9)
90 and 99 are not perfect squares and 64 is smaller than 81.
