Answer:
(2,3),(4,3),(-2,-3),(-4,-3)
Step-by-step explanation:
A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).
This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.
The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.
A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.
In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:
(5,1),(5,2),(5,3),(5,4)
Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.
Given,
A linear function consisting of 2 terms, one is dependent on time and the other one is independent of time, i.e.,
A = -2.3t - 7
The dependent term -2.3 indicates that the altitude of Mr Mole decreases by 2.3 meters every minute.
At t = 0, A = -2.3(0) - 7 = 0 - 7 = -7. (Negative sign indicates the value is below the ground level of 0 meter.
The constant term - 7 is the altitude at t = 0, because at t = 0
Thus, Mr. Mole's burrow lie 7 meters below the ground.
Answer:
The length of 
is;
D. 38 units
Step-by-step explanation:
The given parameters are;
The type of the given quadrilateral FGHI = Rectangle
The diagonals of the quadrilateral = and 
The length of IE = 3·x + 4
The length of EG = 5·x - 6
We have from segment addition postulate, = IE + EG
The properties of a rectangle includes;
1) Each diagonal bisects the other diagonal into two
Therefore, bisects , into two equal parts, from which we have;
IE = EG
= IE + EG
3·x + 4 = 5·x - 6
4 + 6 = 5·x - 3·x = 2·x
10 = 2·x
∴ x = 10/2 = 5
From which we have;
IE = 3·x + 4 = 3 × 5 + 4 = 19 units
EG = 5·x - 6 = 5 × 5 - 6 = 19 units
= IE + EG = 19 + 19 = 38 units
= 38 units
2) The lengths of the two diagonals are equal. Therefore, the length of segment is equal to the length of segment
Mathematically, we have;
= = 38 units
∴ = 38 units.
