The coordinates of the final point after the two reflections is (-7, -4)
<h3>
How to reflect a point across an axis?</h3>
For a point (x, y), a reflection across the x-axis gives the point (x, -y), while for a point (x, y) a reflection across the y-axis gives (-x, y).
In this case, we have the point (7, 4), first we reflect across the x-axis, so we get the point (-7, 4).
Now we reflect across the y-axis, so the sign of the y-component changes, and we get (-7, -4)
So the coordinates of the final point after the two reflections is (-7, -4).
If you want to learn more about reflections, you can read:
brainly.com/question/4289712
Answer: There are no real solutions
You just add 16. The answer is 32.<span />
Answer:
The coordinates of E are 
.
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
![P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29%20-%20O%28x%2Cy%29%5D)
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
, 
![D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20k%5Ccdot%20%5B%280%2C4%29-%20%280%2C0%29%5D)
Lastly, we transform point C into point E by applying the same operation: 
, 
and
![E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20%5B%283%2C0%29-%280%2C0%29%5D)
The coordinates of E are .
Answer:
b=8
Step-by-step explanation:
You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars
