A quadrilateral is shown on the graph below. If the dimensions of this
1 answer:
Answer:
Area of the image rectangle = 4(Area of the original rectangle)
Step-by-step explanation:
Length of the rectangle given in the graph = 4 units
Width of the rectangle = 2 units
Area of the rectangle = Length × Width
= 4 × 2
= 8 square units
Since, scale factor =
2 =
Length of the image rectangle = 2(4)
= 8 units
Similarly, width of the image rectangle = 2(2)
= 4 units
Area of the image rectangle = 8 × 4
Area of the image = Area of the original × 4
Area of the image = 4(Area of the original)
Area of the image rectangle = 4(Area of the original rectangle)
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Answer:
A. Discriminant = 116
B. Number of solutions for the quadratic equation = 2
C. Type of solutions (circle one):Imaginary
D. Type of solutions (circle one):irrational
Step-by-step explanation:
The given quadratic equation is
We rewrite in standard form to get;
The discriminant is
where a=1, b=8, c=-13
We substitute to get:
Since the discriminant is great than zero, we have two distinct real roots
Answer:
The function is one-to-one function ⇒ 1st
The function is one-to-one function ⇒ 2nd
The function is one-to-one function ⇒ 4th
Step-by-step explanation:
* Lets explain how to solve this problem
- One to one function is the function that has no reputation in the value
of the y-coordinates for every corresponding x-coordinates
- That means when you draw a horizontal line at any value of y, then
the horizontal line intersects the graph of the function at one point
only
- So to solve the problem look to the attached figures
# The red graph of the function ⇒1st graph
- In this graph if we draw a horizontal line at any value of y it will
intersect the graph at only one point
- Take care there is a horizontal asymptote at y= 1/3, that means
there is no value of x at y = 1/3
∴ The function is one-to-one function
# The blue graph of the function ⇒2nd graph
- In this graph if we draw a horizontal line at any value of y it will
intersect the graph at only one point
∴ The function is one-to-one function
# The green graph of the function ⇒3rd graph
- In this graph if we draw a horizontal line at any value of y it will
intersect the graph at only one point
∴ The function is one-to-one function
# The purple graph of the function ⇒5th graph
- In this graph if we draw a horizontal line at any value of y it will
intersect the graph at more than one point
∴ The function is not one-to-one function
# The black graph of the function ⇒4th graph
- In this graph if we draw a horizontal line at any value of y it will
intersect the graph at more than one point
∴ The function is not one-to-one function
* The answers are 1st , 2nd and 4th functions
