Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
- A(-1, 4) is the original point
- A'(3, 3) is the image of A
We need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Answer:
50 is the best choice
Step-by-step explanation:
it is better if its an even number and higher
Answer:
60 girls play sports
Step-by-step explanation:
#1- divide 105 by 7=15
#2- multiply 4 by 5= 60
therefore 60 of the 105 girls play sports
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D)
= 
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Answer:
A) 6,3
Why?
The midpoint, which is somewhat self-explanatory thanks to its name, is a point in the center of a line.
To answer this question properly, you need to analyze the line and assess the situation.
How did it go from x = 2 to x = 10? Let's see, if we count by two's across the line, you'll notice it makes more sense. So now we know that every square goes up by two. x = 6 is the exact center of the line.
I hope this wasn't confusing, it's tough to explain it!
