Answer:
Step-by-step explanation:
Given
Quadrilateral QRST
Q (1, 2), R (3, 4), S (5, 6), and T (2, 7)
Dlated Factor = 2
Required
Coordinates of quadrilateral Q′R′S′T′
<em>Provided that a quadrilateral is dilated with the center of dilation at the origin; the new dilated shape is simply the multiplication of the dilation factor by the coordinates of the original shape;</em>
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In other words,
Q'R'S'T' = Dilation factor * QRST
When Q = (1,2)
Q' = 2 * (1,2)
Q' = (2,4)
When R = (3,4)
R' = 2 * (3,4)
R' = (6,8)
When S = (5,6)
S' = 2* (5,6)
S' = (10,12)
When T= (2,7)
T' = 2 * (2,7)
T' = (4,14)
Hence, the coordinates of Q'R'S'T' is
Q' = (2,4); R' = (6,8); S' = (10,12); T' = (4,14)
Answer:
y = 2(x+3)(x-3)
Step-by-step explanation:
y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)
x 1 to n represents the roots
$25 a month :) (its too short so i hope you have a lovely day)
Answer:
462 paths from A to B
Step-by-step explanation:
The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.
The first step is to represent the grid map itself. (See attachment 1)
From the question, we understand that:
- Only right movement is allowed in the horizontal direction
- Only up movement is allowed in the vertical direction
There are a several number of ways to navigate through. However, one possible way is in attachment 2
In attachment 2,
- R represents the right movement
- U represents the up movement
And we have:
and 
The number of possible paths (N) is then calculated as:

Substitute values for N and U





<em>Hence, there are 462 possible paths from A to B</em>
Answer:
Area of the rectangular Field = 3 8/9 km²
Step-by-step explanation:
Length of the field = 2 1/3 km
Width of the field = 1 2/3 km
Area of a rectangular Field = length × width
= 2 1/3 × 1 2/3
= 7/3 × 5/3
= (7*5)/(3*3)
= 35/9
Area of the rectangular Field = 3 8/9 km²
Perimeter of the rectangular Field = 2(length + width)
= 2(2 1/3 + 1 2/3)
= 2(7/3 + 5/3)
= 2(7+5/3)
= 2(12/3)
=2(4)
= 8 km
Perimeter of the rectangular Field = 8 km