Solve equation 2x^{2}−5x−7 = 0 by using the quadratic formula. Then write 2x^{2}−5x−7 in form of a(x−r_{1})(x−r_{2}).
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2 • 2 = 4
5 • 3 = 15
1/3 = 5/15
5/15 + 4/15 = 9/15 = 3/5
1/3 + 2/5 • 2/3 = 3/5
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But I'm pretty sure that when you combine an exterior angle with the interior
angle adjacent to it, you'll wind up with 180°, because they form a linear line.
There actually isn't any such thing as a linear plane.
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According to your question;
x + y = 7
10y + x = 10x + y + 9
By equation 1 ; x = 7-y
Substituting the value of x ;
10y + ( 7 -y) = 10(7-y) + y + 9
9y + 7 = 70 -10y + y + 9
9y + 7 = 70 - 9y + 9
=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4
Substituting for x ;
x = 7 - y
=> x = 7 -4
=> x = 3
Thus, x = 3 and y = 4;
=> The number is 34.
The sum of its digits is (3 + 4) = 7 .
Reversing its digits makes it 43 . . . 9 more than 34.
How I did it: (There must be a much more elegant mathematical method)
There are only 6 possibilities for the original number.
They are . . .
16
25
34
43
52
61 .
Instead of trying to dream up a sophisticated equation,
I decided it was faster and easier to just go down the list
and look for one that worked.
The third one I tried worked.
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Answer:
El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.
El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.
Step-by-step explanation:
El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.
El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.
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Answer:
Number must be added = 160
Step-by-step explanation:
First we need to find LCM of 10,12,16 and 18.
LCM of 10,12,16 and 18 = 720
Let us write the multiplication table of 720
720, 1440, 2160, 2880 .................
We need to find the least number that must be added to 2000 so that the sum is divided exactly by 10,12,16 and 18 .
The number greater than 2000 is 2160.
Difference = 2160 - 2000 = 160
Number must be added = 160
the least common multiple is 2^4.5.3 = 240
then we have (2000 + x) = 240.k
2000 = 240.8 + 80 and 240.9 = 2160
then x = 160