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2 years ago

I will appreciate your help

Mathematics

2 answers:

KatRina [158]2 years ago

4 0

Answer:

Hello! answer: 252

Step-by-step explanation:

To find parelogram area you do base × height so... 21 × 12 = 252 therefore 252 is the area Hope that helps!

MakcuM [25]2 years ago

4 0

Answer:

$area \: of \: parallelogram = base \times height \\ = 21 \times 12 \\ = 252 {km}^{2}$

Step-by-step explanation:

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Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is

igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

$x=0(mod5)$

$x=8(mod11)$

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

$x=5m$

$x=11n+8$

$5m\cong 11n+8$

Now, we can say that m>n because m and n are positive integers.

For n=1,

$5m=11(1)+8=19$

$5m=19$

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

$5m=11(2)+8$

$5m=30$

$m=6$

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

$x=5(6)=30$

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0

3 years ago

Which quadratic equation has solutions x=8 and x=−1?

andrezito [222]

There are two ways you can do this

$Using the formula$

${x}^{2} - (sum \: of \: roots)x + poduct \: of \: roots = 0$

${x}^{2} - (8+-1)x + - 1 \times 8 = 0$

${x}^{2} - 7x - 8 = 0$

$Working backwards$

$x = 8 \: or \: x = - 1$
$\Rightarrow x-8=0 \: or \: x+1=0$

$\Rightarrow (x-8)(x + 1)=0$
$\Rightarrow {x}^{2} + x -8x - 8 = 0$
$\Rightarrow {x}^{2} - 7x - 8 = 0$

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3 years ago

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2 years ago

Ordered pair for the point

kupik [55]

Answer:

Step-by-step explanation:

(4, -3)

4 0

3 years ago

Read 2 more answers

How many millimeters are there in 16 meters

Anika [276]

One of the very nice features of the metric system of measurements is that there is a set of standardized prefixes that can be applied to any of the units. Some of the more common ones are
.. micro- . . . one millionth
.. milli- . . . . one thousandth
.. centi- . . . .one hundredth
.. kilo- . . . . .one thousand

Thus, one millimeter is 1/1000 = 0.001 meter. There are 1000 of them in 1 meter, so
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3 years ago