The vertices are the intersections between the lines.
1) line x + y = 5 and y = 3:
y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2
=> vertix = (2,3)
2) line x + y = 5 and y = 0
=> y = 0 => x + 0 = 5 => x = 5
=> vertix = (5,0)
3) line x + y = 5 and x = 0
=> 0 + y = 5 => y = 5
=> (0,5) ------> this is not a vertix because it is above the line y = 3
4) line y = 3 and x-axis
=> vertix = (0,3)
5) x-axis and y-axis => origin => vertix = (0,0)
So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)
Answer: That is the first option:(<span>0, 0), (0, 3), (2, 3), (5, 0)</span>
Answer:
Step-by-step explanation:
y = -1/3x + 2
m1 = -1/3
Slope of the perpendicular line = -1/m1 = -1 ÷
= 
Equation of the required line : y = mx +b
y = 3x + b
Plugin x = 2 and y 10 in the above equation
10 = 3*2+ b
10 = 6 +b
10 - 6 = b
b = 4
Equation: y = 3x + 4
This the concept of circumference of circle. The arc length will be given by:
C=theta/360*pi*diameter
theta=62
diameter=d
thus the arc length will be:
C=62/360*π*d
C=0.54d
Answer:factor of 9
Step-by-step explanation:
Given
prism were changed by a scale factor of 3
Suppose prism is rectangular in shape
So surface are is 
Where l=length
w=width
b=breadth
So new length,breadth and width is






So new surface area would change by a factor of 9
Answer:

Step-by-step explanation:
