$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\c^2 + 2ab\cos(C) = a^2 + b^2\\\\2ab\cos(C) = a^2 + b^2 - c^2\\\\\boldsymbol{\cos(C) = \frac{a^2 + b^2 - c^2}{2ab}}\\\\$

5 0

1 year ago

Find the equation of the line that passes through the point (3,7) and is parallel to the line that passes through (5,5) and (5,3

Vinil7 [7]

Answer:

this is correct answer

Step-by-step explanation:

you supports to write this

7 0

2 years ago

consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations

emmasim [6.3K]

Answer:

$x=1$ and $x=4$

Step-by-step explanation:

We have the following system of equations:

$y=\sqrt{x}$ and $y=x-2$

To solve the problem, we need to equal the two equations:

$x-2=\sqrt{x}$ ⇒ $(x-2)^{2} =x$ ⇒ $x^{2} -4x + 4 = x$

⇒ $x^{2} -5x + 4 = 0$

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are $x=-1$ and $x=-4$ .

Then, the factorized form of the polynomial is: $(x-1)(x-4)$ .

The, the solution to the system of equations is: $x=1$ and $x=4$ .

5 0

2 years ago

A person walks 1/2 miles trail in 1/6 hour what is their average speed as a unit rate

tatiyna

Answer:

6miles/hour

Step-by-step explanation:

Speed = Distance/time

So speed is: $\frac{\frac{1}{2}}{\frac{1}{6}}$

You will get 6/2 from this so you get 6miles/hour

4 0

3 years ago