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eduard
3 years ago
7

Plz Help

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Begin by factoring 2 out of   2x^2 - 2x - 12 equals 0:

2(x^2 - x - 6) = 0

2(x - 3)(x + 2) = 0.  2 is never zero, but x-3 and x+2 can each be set = to 0:

This results in x = 3 and x = -2.  The equation is true for these two x-values.

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Any help? Much appreciated ​
natulia [17]

Answer:

\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3})  }{13} =  \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18

5 0
3 years ago
West middle school ordered 121 boxes of markers. If there are 22 teachers how many boxes does each teacher get? Write answer as
never [62]
The answer should be 5.5 because you have to divide it. The fraction would be 5 over 10
6 0
3 years ago
if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s​
Lubov Fominskaja [6]

Answer:

Supplementary Angle's Theorem

Step-by-step explanation:

The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.

7 0
3 years ago
A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx
Ad libitum [116K]

Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4

7 0
3 years ago
X=-4+y and -2x-5y=15
Scrat [10]

Answer:

x=-5, y=-1

Step-by-step explanation:

Substitute x=-4+y into -2x-5y=15. So we have

-2(-4+y)-5y=15

8-2y-5y=15

-7y=7

y=-1

And x is -4+y so x= -4+(-1)= -5.

7 0
3 years ago
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