Answer:
(0,-5)
Step-by-step explanation:
flipping axises casuses the points to flip
Answer:
Step-by-step explanation:
<u>Coordinates of the points C and D:</u>
The point E has coordinates of (x, y).
The point E is at 3/4 of CD from C and 1/4 of CD from the point D.
<u>Find coordinates of E:</u>
- x = -3 + 1/4(1 + 3) = -3 + 1 = -2
- y = -4 + 1/4(6 + 4) = -4 + 2.5 = -1.5
Answer
Find out the perimeter of the isosceles triangle.
To prove
As shown in the figure.
P(0,4) , Q(-2,0) and R(2,0) are the vertices of the triangle PQR.
Formula
![Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} -y_{1})^{2}}](https://tex.z-dn.net/?f=Distance%5C%20formula%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-%20x_%7B1%7D%29%5E%7B2%7D%20%2B%28y_%7B2%7D%20-y_%7B1%7D%29%5E%7B2%7D%7D)
As P(0,4) and Q(-2,0)
![PQ = \sqrt{(-2 - 0)^{2} +(0 - 4)^{2}}](https://tex.z-dn.net/?f=PQ%20%3D%20%5Csqrt%7B%28-2%20-%200%29%5E%7B2%7D%20%2B%280%20-%204%29%5E%7B2%7D%7D)
![PQ = \sqrt{20}\unit](https://tex.z-dn.net/?f=PQ%20%3D%20%5Csqrt%7B20%7D%5Cunit)
In the isoceles triangle the two sides of the triangles are equal .
Therefore PQ = PR
![PR = \sqrt{20}\unit](https://tex.z-dn.net/?f=PR%20%3D%20%5Csqrt%7B20%7D%5Cunit)
As Q(-2,0) and R(2,0)
![QR = \sqrt{(2- (-2))^{2} +(0 - 0)^{2}}](https://tex.z-dn.net/?f=QR%20%3D%20%5Csqrt%7B%282-%20%28-2%29%29%5E%7B2%7D%20%2B%280%20-%200%29%5E%7B2%7D%7D)
![QR = \sqrt{(4)^{2}}](https://tex.z-dn.net/?f=QR%20%3D%20%5Csqrt%7B%284%29%5E%7B2%7D%7D)
QR = 16 unit
![Perimeter\ of\ triangle PQR = \sqrt{20} +\sqrt{20} + 16](https://tex.z-dn.net/?f=Perimeter%5C%20of%5C%20triangle%20PQR%20%3D%20%5Csqrt%7B20%7D%20%2B%5Csqrt%7B20%7D%20%2B%2016)
![Perimeter\ of\ triangle PQR = 4\sqrt{5} + 16\ units^{2}](https://tex.z-dn.net/?f=Perimeter%5C%20of%5C%20triangle%20PQR%20%3D%204%5Csqrt%7B5%7D%20%2B%2016%5C%20units%5E%7B2%7D)
Answer:
P = 15a + 8b
Step-by-step explanation:
Profit is 15 on each of the 'a' units of A, and is 8 on each of the 'b' units of B. Hence the total profit (P) is ...
P = 15a +8b
If your objective is to maximize profit, the objective function is ...
P = 15a +8b
s=-3
<em /><em>10-s=? </em><u>Substitute s:</u>
10-(-3)=10+3=13
10-s=13
Answer: 13