Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope = 
(flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope = 
(flip the sign from - to +, and flip the fraction)
y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is 
or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5
Answer:
For every 1 inch on the drawing, it's 3 feet in real life.
Step-by-step explanation:
First, consider the length. The length is 6 inches on the drawing, while in actuality it is 18 feet. So every 6 inches represents 18 feet. Let's make a ratio; 6 : 18. To simplify it, divide both sides by 6; 6 : 18 = 1 : 3.
For every 1 inch on the drawing, it's 3 feet in real life.
We know that
15 1/4 acres-----------> (15*4+1)/4-----> 61/4 acres
[<span>number of lots]=(61/4)/(2/3)----> (61*3)/(4*2)---> 183/8----> 22.875
22.785-----> 22 7/8
we know that
7/8--------> multiply by 3-------> 21/24
2/3-------> multiply by 8-------> 16/24
21/24-16/24-------> 5/24
so
22 7/8 is equals to--------> 22 21/24----> 22 (16/24+5/24)
t</span><span>he maximum number of lots that can be created are 22+1-----> 23 lots
</span><span>and there is a remnant of 5/24</span>
Circumference c=2(pie)r
C=2(pie)5
C=31.42
Answer:
If you mean 4e^x -1=0
4e^×=1
e^x=1/4 , take ln bothside
xlne =ln(1/4)
x=ln(1/4)
