Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
AB = CD = √8 ≈ 2.8 units
BC = AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = 3.92 units²
Perimeter of the rectangle ABCD = 8.4 units
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Given the coordinates of vertices of rectangle ABCD as:
- A(0,2)
- B(2,4)
- C(3,3)
- D(1,1)
To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.
Using the distance formula, we have the following:
AB = √[(2−0)² + (4−2)²]
AB = √[(2)² + (2)²]
AB = √8 ≈ 2.8 units
CD = √8 ≈ 2.8 units
BC = √[(2−3)² + (4−3)²]
BC = √[(−1)² + (1)²]
BC = √2 ≈ 1.4 units
AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²
Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units
Learn more about the area and perimeter of rectangle on:
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Answer:
12π ft², B
Step-by-step explanation:
Area of circle: radius²π
The area of the entire circle would thus be 6²π, or 36π
Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.
1/3 * total area of the circle = area of the shaded region
1/3 * 36π = 12π
Thus, the answer is 12π ft², or B.
10+16=26 so there for your answer would be 26 if you need it more described let me know
Answer:
<u>The present age of the mother is 30 years old</u>
Step-by-step explanation:
Age of Jane = x
Age of Billy = 5x (Billy is five times as old as Jane)
Age of Sara = 15x (Their mother is now three times as old as Billy)
In 2 years Sara will be eight times as old as Jane, therefore:
15x + 2 = 8 (x + 2)
15x + 2 = 8x + 16
15x - 8x = 16 - 2
7x = 14
x = 14/7
x = 2 ⇒ 5x = 10x ⇒ 15x = 30
Jane's present age is 2, Billy's present age is 10 and Sara's present age is 30
<u>The present age of the mother is 30 years old</u>
