Answer:- A line is the undefined geometric term can be described as a one-dimensional set of points that has no beginning or end.
Explanation :-
In geometry, there are three undefined terms : 1) point 2) line 3) plane
- A point has zero dimensions . It has two dimensions in plane and three dimensions in space.
- A line is said to be a one dimensional set of points that has no beginning or end.It has only length.
- A plane has two dimensions.
- Distance is not a geometic term.
Answer: 2
Step-by-step explanation:
This is a direct proportion. Since y varies as x. This will be:
y = kx
where,
y = 9
x= 3
9 = 3k
k = 9/3
k = 3
Find x when y=6
y = kx
6 = 3x
x = 6/3
x = 2
Answer:
<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>
Step-by-step explanation:
Given:
10x² - y = 48 ⇒(1)
2y = 16x² + 48 ⇒(2)
From eq.(1) ⇒ y = 10x² - 48 ⇒(3)
By substitution with y from eq.(3) at eq.(2)
∴ 2(10x² - 48) = 16x² + 48
Solve for x
∴ 20x² - 96 = 16x² + 48
∴ 20x² - 16x² = 48 + 96
∴ 4x² = 144
∴ x² = 144/4 = 36
∴ x = ±√36 = ±6
By substitution with x at eq.(3)
when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312
when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312
<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>
In first question x=8, I’m too lazy to solve the rest