Answer:
767 houses
Step-by-step explanation:
Initially there are 3212 houses in the city.
After the boom there are 3979 houses in the city.(due to boom there is an increase in the number of houses).
The number of houses developed by the developers is the difference between the number of houses before and after the boom.
The number of houses developed=3979-3212=767 houses
The <em>rigid</em> transformations used for each figure:
- Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
- Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)
<h3>What transformation rules do create the resulting images?</h3>
In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:
Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.
(x, y) → (- x, - y)
Figure 6 - Translation one unit in the +x direction and two units in the -y direction.
(x, y) → (x + 1, y - 2)
To learn more on transformation rules: brainly.com/question/9201867
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Answer:
8 and 10
Step-by-step explanation:
First, let's look at the factors of 80.
1 • 80 = 80
2 • 40 = 80
4 • 20 = 80
5 • 16 = 80
8 • 10 = 80
Look at each pair and evaluate their sum.
1 • 80 = 80
2 • 40 = 80
4 • 20 = 80
5 • 16 = 80
8 • 10 = 80
Our last pairing multiplies to 80 and adds up to 18. Therefore, your answer is 8 & 10.
Hope this helps!
Answer:

Step-by-step explanation:
The horizontal distance from points (5,-18) and (8,-17) is 3 because it is 3 units from 5 to 8. The vertical distance is 1 since it is one unit from -18 to -17. Now we can use the equation
where a=3 and b=1 and c is the distance that you are looking for:

Answer:
5x+8
Step-by-step explanation:
The from is the key word
That means the second term is first
6x^2 -2x +6 - (6x^2 -7x -2)
Distribute the minus sign
6x^2 -2x +6 - 6x^2 +7x +2
Combine like terms
5x+8