Answer:
About 7% is the anwser i tried 4% and i got it wrong and it said 7 was correct
Answer:
(2,-4)
Step-by-step explanation:
(2,4) is located in Quadrent I (+,+), if you reflect over the x-axis, it would be in Quadrent IV (+,-).
if you dont understand I suggest you draw a coordinate plane on a graphing notebook.
Answer:
A right triangle or right-angled triangle is a triangle in which one angle is a right angle.
<u>Therefore, one of the angles must be 90 degrees to be a right angle triangle.</u>
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:
7.0%
Step-by-step explanation:
Here, we want to get the value of the percentage increase
mathematically, we have the formula for this as follows ;
(new value - old value/old value * 100%
from the question, old value is 8,300 ft and the new value is 8,881 ft
So we have the percentage increase as follows;
(8,881 - 8,300)/8,300 * 100%
= 7.0%
