We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

1. What is the equation of a line that is parallel to −3x+4y=4 and passes through the point (4, 0) ?

2. In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2).

For each of the given coordinates of vertex C, is △ABC a right triangle?

Select Right Triangle or Not a Right Triangle for each set of coordinates.

3.

4.

Guest Nov 2, 2018

#1**+1 **

1)

\(-3x+4y=4 \\ y = \dfrac 3 4 x + 1 \\ slope = \dfrac 3 4 \\ \text{now we construct a line with slope }\dfrac 3 4 \text{ passing through }(4,0)\\ \text{using point slope form}\\ (y-0) = \dfrac 3 4 (x-4) \\ y = \dfrac 3 4 x - 3 \\ -3x + 4y = -12\)

.Rom Nov 4, 2018

#2**+1 **

2)

I guess the easiest way to do this is check the Pythagorean theorem for a right triangle.

For each value of c find the length squared of each of the 3 sides of the triangle and sort them.

Then if the triangle is a right triangle the sum of the two smaller squared sides will equal

the largest squared side.

I'm going to let you slog through the arithmetic. I suggest using a spreadsheet or something.

Rom Nov 4, 2018