Answer:
<h2>12</h2>
Step-by-step explanation:
If the Quadrilateral A has side lengths 6, 9, 9, and 12 respectively and Quadrilateral B is a scaled copy of A with its shortest side of length 2, then to determine the scale used, we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown;
ratio of shortest side
B:A = 2:6 = 1:3
This means that the quadrilateral B is 3 times smaller than A.
To find the perimeter of quadrilateral B, we will add all the side length of A and divide by 3 to get the perimeter of quadrilateral A by 3 as shown;
Perimeter of quadrilateral B = (Perimeter of quadrilateral A)/3
Perimeter of quadrilateral A = 6+9+9+12
Perimeter of quadrilateral A = 36
Perimeter of quadrilateral B = 36/3
Perimeter of quadrilateral B = 12
<em>Hence the perimeter of quadrilateral B is 12</em>
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Answer:
A
Step-by-step explanation:
The equation will be in the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2.5, 0) ← 2 points on the line
m = 
= - 2
The line crosses the y- axis at (0, 5) ⇒ c = 5
y = - 2x + 5 or
y = 5 - 2x → A
Answer:
Step-by-step explanation:
<u>Using mental math to find the slope of the line:</u>
If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:
(0, 0)
(4, 8)
As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)
Answer:
3x( x+5) (x+4)
Step-by-step explanation:
3x^3 + 27x^2 + 60x.
Factor out the greatest common factor
3x( x^2 +9x+20)
Now factor inside the parentheses
What two numbers multiply to 20 and add to 9
5*4 = 20
5+4 =9
3x( x+5) (x+4)
