Answer:
AB = √37
BC = 2√5
AC = √41
Type: SCALENE TRIANGLE
Step-by-step explanation:
Given the coordinates
A(1, –9), B(0, –3), C(–4, –5)
We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;
For A(1, –9) and B(0, –3)
AB = √(-3+9)²+(0-1)²
AB = √6²+(-1)²
AB = √36+1
AB = √37
For coordinates B(0, –3) and C(–4, –5)
BC = √(-5+3)²+(-4-0)²
BC= √(-2)²+(-4)²
BC = √4+16
BC = √20
BC = 2√5
For coordinates A(1, –9), C(–4, –5)
AC = √(-5+9)²+(-4-1)²
AC= √(4)²+(-5)²
AC = √16+25
AC = √41
<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>
Domain is everything below 0. Range is all real numbers. It is a function as it passes the vertical line test.
Answer:
4/7
Step-by-step explanation:
The gradient of the perpendicular line would be the negative reciprocal of the original line. Therefore the gradient of the perpendicular line would be -2/5x.
Since we know y=mx+c, ∴y=-2/5x+c. Sub in the x and y values of the given point and we get that c=26/5.
The perpendicular equation would be y=-2/5x+26/5.
I hope I got this right.
Yes it does have to be parallel or else it would not be a rectangle.So it is true.
Hope this helped! :)