The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points
and 
is 
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴
= -5 and
= 3
∴
= 2 and
= 5
- Substitute these values in the rule of the distance
∵ 
∴ 
∴ 
∴ 
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
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Answer: -2x - 10
Steps: -2(x+5)
Apply the distributive law [ a(b + c) = ab + ac ]:
a = -2, b = x, c = 5
-2x + (-2) × 5
Apply minus/plus rules: -2x - 2 × 5
Multiply the numbers: 2 × 5 = 10
-2x - 10
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Greetings! Hope this helps!
Answer
p = -6
_____________
4 - 3p = 22
-4 -4
-3p = 18
/-3 /-3
p = -6
Have a good day!
_______________
A brainliest would help tons! :D
The lines are parallel.
Theorem: If two parallel lines are cut by a transversal, then same side interior angles are supplementary.
The angles measuring 16x + 4 and 80 are supplementary, so thjeir measures add to 180.
16x + 4 + 80 = 180
16x + 84 = 180
16x = 96
x = 6
Answer: A - 6
Answer:

Step-by-step explanation:
Given expression:
2x + 5y = -10
The equation of a straight line is;
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
Now;
let us write the given expression in slope intercept format;
2x + 5y = -10
5y = -2x - 10
y =
- 2
So, the slope of the line is 