All categories

3 years ago

Cho x,y thuộc n thoả mãn x hia 3 dư 1,y chia 3 dư 2.hỏi x.y chia 3 có số dư bằng bao nhiêu

Mathematics

1 answer:

Strike441 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

x÷3 dư 1-->x=3a+1

y÷3 dư 2-->y=3b+2

x×y=(3a+1)×(3b+2)

=9ab+6a+3b+2

Mà 9ab, 6a, 3b chia hết cho 3, 2 chia 3 dư 1

==>x×y chia 3 dư 2

You might be interested in

A yard contains 36 inches. 21 inches is what fraction of a yard?

Tanzania [10]

We Know That One Yard Is 36 Inches. So, One Yard =
$\frac{36 in.}{36 in.}$
We Need To Find What 21 Inches Of A Yard.
This Is:
$\frac{21 in.}{36 in.} 
$
We Cannot Simplify This Anymore.
So, 21 inches Is $\frac{21}{32}$ Of A Yard In Fraction Form.

3 0

3 years ago

What fractions equal to 4/6 that is a multiplication sentence.<br><br> please help thanks

jasenka [17]

2/3
4/6
6/9
8/12
i hope this helps..

7 0

3 years ago

100 divided by 12? as a fraction<br> no wrong answers

Ipatiy [6.2K]

Answer:

the answer is 8 1/3, your welcome

5 0

3 years ago

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

with critical points where the partial derivatives vanish.

$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

$L_\lambda=x^2+y^2-9=0$

Substitute $x,y$ into the last equation and solve for $\lambda$ :

$\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6$

Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

We get an absolute maximum of $3\sqrt{17}\approx12.369$ at the second point, and an absolute minimum of $-3\sqrt{17}\approx-12.369$ at the first point.

4 0

3 years ago

Solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x

Arada [10]

$-\frac{1}{3}x$ + y = -1 ⇒ y = $\frac{1}{3}x$ - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope $(\frac{1}{3})$ by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

***************************************************************************************

y = 4 + $\frac{1}{3}x$ ⇒ y = $\frac{1}{3}x$ + 4

Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

***********************************************************************************

You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution

3 0

4 years ago