-3x^2 - 10x + 5 = 0
Quadratic formula:
-b +/- sqrt[b^2 - 4(a)(c)]/2(a)
So. . . 10 +/- sqrt[(10^2) - 4(-3)(5)]/2(-3)
10 +/- sqrt[100+60]/ -6
10 +/- sqrt[160]/-6
Answer:
<em>Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.</em>
Step-by-step explanation:
<u>Scaling</u>
The scale factor established to represent a desk 2 meters long and 1 meter wide is:
1 centimeter = 0.5 meter
We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

to get the scaled dimensions.
The length of 2 meters is scaled to:

And the width of 1 meter is scaled to:
\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm
Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.
Subtract the y-coordinates. This is the rise.
Subtract the x-coordinates in the same order. This is the run.
Slope = rise/run.
Subtract the y-coordinates: -6 - 15 = -21. rise = -21
Subtract the x-coordinates in the same order:5 - 2 = 3. run = 3
slope = rise/run = -21/3 = -7
Answer:(5/3,5/3)
Step-by-step explanation: I did the test ;D