Find the intersection point of the following lines:
y=−5
5x+4y=−20
(0,-5)
Find the distance between the points on the graph.
d=sqrt80=4sqrt5
Solve the linear simple inequality 7(1−5n)−(n+3)≥4 on a number line.
Graph x\leq0 .
Find the intersection point of the following lines:
4x+2y=10
x−y=13
(6,-7)
Find the distance between the points (-3,3) and (2,-4).
d=sqrt74
Write the following inequalities in interval notation.
x\in(-\infty,5)\cup(7,+\infty)
and
x\in[0,3)
Build the inequality from the graph:
y<2
Find the intersection point of the following lines:
y=−3x+4
y=3x−2
(1,1)
Find the area of the following triangle:
*Remember that A_{triangle}=1/2*b*h
A=48
Solve the linear compound inequality -9\leqx-10\leq-5 in interval notation.
x\in[1,5]
Graph y>−3x+1 .
Find the intersection point of the following lines:
-8x-10y=24
6x+5y=2
(7,-8)
Find the perimeter of the following triangle:
P=sqrt40+2sqrt50
Solve the linear compound inequality -7k<-3k-4 or 5k+2\leq8-k in interval notation.
k\in(-\infty,+\infty)
Solve and graph −4x\leq12−3y .
y\leq4/3x+4
Find the intersection point of the following lines:
-16y=22+6x
-11y-4x=15
(-1,-1)
Find the possible values for the coordinate y if the distance between the points (6,5) and (8,y) is sqrt40 .
y=11
or
y=-1
Solve the linear compound inequality 1+2/3a>1 and -8/3a-11/3\geq-9 in interval notation.
a\in(0,2]
Build the inequality from the graph:
y\leq2/5x+2