To find the function,
draw a vertical line through every point. If there is no other point lies on this line, then this is a function.
If we do this vertical line test,
in the first graph, there are two points at (-1, -1) and (-1, 3) lie on the same line and therefore, it is not a function.
In the second graph, points at (-2, -2) and (-2, 1) lie on the same line and therefore, it is not a function.
In the third graph, points at (0, -1) and (0, 2) lie on the same line and therefore, it is not a function.
In the fourth graph, in each vertical line, only one point lies and hence it is a function.
What is the real distance, in km, between York and London?
km
Answer:
y = 3 and x = 3
Step-by-step explanation:
(11)
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line goes through
Here that is 3, thus
y = 3 ← equation of line
(12)
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
Here that is 3, thus
x = 3 ← equation of line
the rhombus?
6 units
8 units
10 units
14 units
The length of one side of the rhombus is 10 units.
A rhombus is a two dimensional shape which consists of four equal sides with opposite side being parallel and opposite angles being equal.
Given that,
EFGH is a rhombus.
Length of the two diagonals are also given.
EG = 16 and FH = 12
In a rhombus, the diagonals bisect each other at right angles.
Let the intersection point of the diagonals be O.
Consider ΔOFG.
Using Pythagoras Theorem,
(FG)² = (OG)² + (OF)²
OG = EG / 2 = 16 / 2 = 8
OF = FH / 2 = 12 / 2 = 6
(FG)² = 8² + 6²
= 100
FG = √100 = 10
Hence the length of one side of the rhombus is 10 units.
Learn more about Rhombus here :
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Answer:
C. 10 units
Step-by-step explanation:
The half diagonals of a rhombus are the legs of a right triangle with the hypotenuse being the side of the rhombus.
EG and FH are the diagonals of the rhombus. The half-diagonals measure 8 and 6.
We can use the Pythagorean theorem to find the hypotenuse length with is the length of the side of the rhombus.
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
c^2 = 100
c = 10
Answer: 10 units