Answer:
5/7
Step-by-step explanation:
Answer:
We want to graph the inequality:
3x - 2y ≤ 6
The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.
3x ≤ 6 + 2y
3x - 6 ≤ 2y
(3/2)x - 6/2 ≤ y
(3/2)x - 3 ≤ y
or:
y ≥ (3/2)x - 3
Because we have the symbol ≥
The points on the line are solutions, then the first part is to graph the line:
y = (3/2)*x - 3
Next, we have:
y equal to or larger than (3/2)*x - 3
Then we need to shade all the region above that line.
The graph can be seen below.
A) (0,0) and (3,1)
1-0 divided by 3-0
Slope is 1/3
the slope represents the relationship between x and y
b) (6,2) and (-3,-1)
-1-2 divided by -3-6
Slope is 1/3
c) yes, the two triangles represent the same slope as all of the four points used are collinear (on the same line), making all the slopes equal.
Answer:SAS
Step-by-step explanation:Similar triangles are easy to identify because you can apply three theorems specific to triangles. These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles.
We have an equation: 432/?= 3/5
Cross multiply:
3*?= 432*5
⇒ ?= 432*5/3= 720
720 students use regular pencils~