Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation
converting the line into the slope-intercept form y = mx+b, where m is the slope
The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)
Add 3 to both sides
Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Answer:
From this, you can tell it's in slope-intercept form, has a slope of -1/2, and a y-intercept of -4.
I've included a picture of what this equation looks like.
Answer:
45 points
Step-by-step explanation:
You could do it with proportions. Start with 18/x=40/100. then, cross multiply and you should get x=45.
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful....
Answer:
Step-by-step explanation:
We have been give that one a street map the vertices of a block are w(20,30), x(90,30), y(90,120), and z(20,120). The coordinates are measured in yards. We are asked to find the perimeter and area of the block.
First of all, we will plot our given points on coordinate plane as shown in the attachment.
We can see that block wxyz is in form of a rectangle. We know that perimeter of rectangle is two times the sum of length and width.
The length of the rectangle will be length of segment wx that is the difference between x-coordinates of x and w.
The width of the rectangle will be length of segment wz that is the difference between y-coordinates of z and w.
Therefore, the perimeter of the block is 320 yards.
The area of the block will be length times width.
Therefore, the area of the block is 6300 square yards.
