9 x ≥ 117
Divide both sides by 9 :
9 x / 9 ≥ 117 / 9
x = 117 / 9
x ≥ 13
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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)
X-3y=-15
-3y=-x-15
-1(-3y=-x-15)
3y=x+15
3/3y=1/3x+15/3
y=1/3x+5
Answer: use google dot com
To form the <u>converse</u> of the <u>conditional statement</u>, interchange the <u>hypothesis</u> and the <u>conclusion</u>.
Given conditional statement: "if two angles are both obtuse, the two angles are equal".
Here,
- hypotesis is: two angles are both obtuse,
- conclusion is: two angles are equal.
Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".