Answer:


Step-by-step explanation:
Given


Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:

So:




When a point is translated 2 units down, the rule is:

So:





So, the new coordinates are:


Answer: Choice A
y = (-3/4)(x + 4) + 6
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Let's go through the answer choices
- Choice A is something we'll come back to
- Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
- Choice C is false for similar reasons as choice B. The slope should be negative.
- Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.
We've eliminated choices B through D.
Choice A must be the answer through process of elimination.
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Here's an alternative method:
If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4
This is because we've moved down 3 units and to the right 4 units.
m = slope = rise/run = -3/4
We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.
Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)
So,
y - y1 = m(x - x1)
y - 6 = (-3/4)(x - (-4))
y - 6 = (-3/4)(x + 4)
y = (-3/4)(x + 4) + 6
Answer:
124 ft2
Step-by-step explanation:
The yard is a 12ft square so the length and width would both be 12ft. You multiply the length and width of the yard to get the area of the yard so 12x12=144. You have the length and width of the flower bed so 5x4=20. Once you have the area of both you can subtract the area the flower bed takes up of the lawn. 144-20=124 ft2.
Answer: Expensive car which cost less to operate.
Step-by-step explanation: When purchasing a new expensive car it is much more reliable, the risk you run with buying a used car is it breaking down on you while you are driving. Much less likely to happen with a new car.
Answer:
5 or less
Step-by-step explanation:
The speed increased linearly with distance, but is not decreasing linearly with distance. This suggests the track has an unknown shape, so prediction of car behavior is a guess, at best.
If the car continues to decrease its speed at 3 units per unit distance, then the final 3 units of speed will decrease to 0 in one additional unit of distance. That is, the car will stop at a distance of 5 units.
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Since the car has be decreasing its speed at an increasing rate with respect to distance, very possibly the car will stop before it reaches distance unit 5.
Since we don't know the track shape, it seems possible the car may not stop until some large unknown number of distance units, say 10 or 1000.