Answer:

Step-by-step explanation:
From figure,

In triangle 

![\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]](https://tex.z-dn.net/?f=%5CRightarrow%20%28a%2Bb%29%5E2%3D%28a-b%29%5E2%2B%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20a%5E2%2Bb%5E2%2B2ab-a%5E2-b%5E2%2B2ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%204ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20O%27D%3D2%5Csqrt%7Bab%7D%20%5C%5C%5CRightarrow%20O%27%20D%3D2%5Csqrt%7Bab%7D%3DAB%20%5Cquad%20%5Cquad%20%5B%5Cbecause%20O%27%20DAB%5C%3B%5C%3B%20%5Ctext%7Bis%20a%20rectangle.%7D%5D)
Hence, 
The multiplicative inverse of -1/3 is -3.
The product of a number and it’s multiplicative inverse equals 1.
So... -1/3 x -3/1 = 1
A negative times a negative equals a positive.
I hope this helped!
Answer:
y = 3x-15 and y = x-7
Step-by-step explanation:
We are asked to write a system of equations with the solution (4,-3)
It is sufficient if we find two lines passing through this point.
Let us take first line as with slope 3.
Then the equation would be of the form
y-y1 = m(x-x1)
y+3 = 3(x-4)
Or y = 3x-15 is one line
Let second line have slope 1
y+3 = 1(x-4)
y = x-7
Now we have two systems of equations as
y = 3x-15 and y = x-7
Answer:
7%
Step-by-step explanation:
25/360 × 100 = 6.944
Answer:
383.13
Step-by-step explanation: