Nancy ate 34 ounces of cake. How much cake did she eat?
2 answers:
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Answer:
(-21, 16)
Step-by-step explanation:
A is at (-33, 0) and B is at (0, 44),
A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.
If we divide each distance into 11 equal parts and choose a length 4/11 of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.
For the x-coordinate,
x₂ - x₁ = 0 - (-33) = 0 + 33 = 33
(4/11) × 33 = 12
-33 + 12 = -21
The x-coordinate of M is (-21, 0).
For the y-coordinate,
y₂ - y₁ = 44 - 0 = 44
(4/11) × 44 = 16
0 + 16 = 16
The y-coordinate of M is (0, 16).
The coordinates of M are then (-21, 16).
The diagram below shows the point M that divides AB in a 4/7 ratio.
Answer: Option b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option b.