Prove that the triangle with vertices P(-4,0), Q(3,5), and R(8,-2) is a right triangle.

does this help?

Step-by-step explanation:

PR=9+4+36−−−−−−−−√=7

PQ=36+9+4−−−−−−−−√=7

RQ=1+25+64−−−−−−−−−√=98−−√

PQ2+RQ2=49+49=98

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.