Answer:
3) A line has one dimension, length. (True)
5) A plane is made up of an infinite collection of lines. (True)
Explanation:
Geometry has three undefined terms:
a) point
b) line
c) plane
Examining the given statements:
1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.
2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.
3) A line has exactly one dimension, which is its length. (True)
4) A point consists of countless lines — this is false; actually, a line consists of infinite points.
5) A plane consists of an unending set of lines. (True)
Answer:
Area = 200 + 50 + x
Step-by-step explanation:
Given
Length = 20
Width = 30
Side Walk = x
Required
Find the total area.
To find this, we have to add the length of the sidewalk to the dimensions of the garden.
This results in:
Length = 20 + x.
Width = 30 + x
So, the area now becomes.
Area = (20 + x)(30 + x)
Area = 600 + 20x + 30x + x²
Area = 200 + 50 + x²
This question is quite lengthy, so I will offer a brief overview. To find your x-value, set y to 0 in the given equation.
2x + 3y = 1470
2x + 3(0) = 1470
2x = 1470
x = 735
Thus, your farthest point on the x-axis is (735,0).
Now, repeat for y.
2x + 3y = 1470.
2(0) + 3y = 1470
3y= 1470
y= 490
Your highest point thus is (0,490).
After plotting both points, connect them with a straight line to illustrate your graph.
Check
Answer: We start with equation 1
x=64/3
Next, we solve equation 2
y=125/3
Now, we combine equations 1 and 2
y-x=125/3 -64/3
=61/3
Step-by-step explanation: