You can reword the two equations as:
-5x-y=15 (Divide original value by 3)
-2x+6y=6
Then use elimination to find x:
-30x-6y=90 (Multiply by 6 to get y values to be same to cancel out)
-2x+6y=6
You're left with:
-32x=96. Which can then be solved to find x which is -3.
Then plug back in
-2x+6y=6
Now to: -2(-3)+6y=6.
Which reduces to 6+6y=6. So y=0.
To graph them, just reword the equations (yes once again) so that y is in front.
y=-5x-15 and y=(1/3)x+1
Answer:
Step-by-step explanation:
I learned this easy way to complete the sqare in the fastest way possible
First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2(x^2 -5/2x +3/2). then you do one half of b or in this case -5/2. That would make -5/4. you would put this into the factor.
2( x -5/4 + ) ( x -5/4 - )
Then you square that number (-5/4)
That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.
2( x -5/4 + 1/4) ( x -5/4 - 1/4)
Then you simplify
(x-1) 2(x-3/2)
(x-1) (2x-3)
now to make sure I am correct, I will re-multiply it out
2x^2 -5x + 3
Answer:
Step-by-step explanation:
Answer:
Moving Car. Moving cars possess some amount of kinetic energy. ...
Bullet From a Gun. A bullet fired from a gun has very high kinetic energy, and, so, it can easily penetrate any object. ...
Flying Airplane. ...
Walking & Running. ...
Cycling. ...
Rollercoasters. ...
Cricket Ball.
Correct option D) 1,185.6 inches cubed .
<u>Step-by-step explanation:</u>
Here we have , A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches. We need to find the volume of the triangular prism .Let's find out:
We have following parameters :

We know that , Volume of triangular prism is :
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Therefore , Correct option D) 1,185.6 inches cubed .