Answer:
<h3>The answer is 10 units</h3>
Step-by-step explanation:
The distance between two points or a line segment can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, 1) and (2, 9)
The length of segment AB is
We have the final answer as
<h3>10 units</h3>
Hope this helps you
The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>
From the given figure, the coordinate of the vertex A is represented as:
A = (-5, 2)
<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A' = (5 - 2, 2)
Evaluate the difference
A' = (3, 2)
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A'' = (3, -2 + 4)
Evaluate the difference
A'' = (3, 4)
Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)
<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A' = (-5, -2 + 4)
Evaluate the difference
A' = (-5, 2)
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A'' = (5 - 2, 2)
Evaluate the difference
A'' = (3, 2)
Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
Read more about reflection at:
brainly.com/question/4289712
#SPJ1
Answer:
If you spend next year paying off student loans, your net worth will go up again. ... Your net worth is the value of all your assets minus all your liabilities. ... Instead net worth includes savings, investments, and debts. ... about your total net worth because the $30,000 salary you make is a ... Total Articles: 17.
Step-by-step explanation:
Answer:
30 blue pins
Step-by-step explanation:
30% is the same as 30 out of 100, so this can be written in this fraction: 
now, you should multiply this fraction by the total number of pins she ordered:
100 x
to solve this, you can simplify by dividing 100 by 100, this equals 1
30 times 1 is 30
there are 30 blue pins
Answer:
40
Step-by-step explanation:
