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Sidana [21]
4 years ago
13

Solution to the System of linear equations below : 2x+y=-3 3x+2y=-7

Mathematics
1 answer:
Vadim26 [7]4 years ago
4 0
You can solve this by adding 3 to 2x+y=-3 so it is now 2x+y+3=0, then you can subtract y to get 2x+3=-y, multiply by -1 to get y positive so you have -2x-3=y, then insert that to the second equation as 3x+2(-2x-3)=-7 you can then multiply it out to 3x-4x-6=-7, add 6 to both sides to get 3x-4x=-1, which is the same as -x=-1 or x=1, then insert they into the upper equation to get 2+y=-3, subtract 2 and you have y=-5, so the answers are x=1 and y=-5
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I am in a game show.
wlad13 [49]
This is the well known Monty Hall problem.

You have more chances of winning by switching doors.

Let A,B,C denote the events "The ferrari is behind A" and so on
Let HA,HB,HC denote the events "The host opens A" and so on

By Baye's formula, P(B)_{HC}=\frac{P(HC)_BP(B)}{P(HC)}=\frac{\frac{1}2\cdot\frac{1}3}{\frac{1}2}=\frac{1}3 whereas P(A)_{HC}=\frac{P(HC)_AP(A)}{P(HC)}=\frac{1\cdot\frac{1}3}{\frac{1}2}=\boxed{\frac{2}3} !!



7 0
4 years ago
Read 2 more answers
A 4-meter ladder is placed against a wall so
krek1111 [17]

Answer:

1.5 meters.

Step-by-step explanation:

The ladder is 4 meters.

It reaches the height of 3.7 meters on a wall.

This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).

We are to find the base length.

Applying the Pythagorean theorem;

a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.

∴ a² = c² - b² = 4² - 3.7² = 2.31

a (base length) = \sqrt{2.31} = 1.519868415 meters

To round off the answer to the nearest tenth of a meter;

Tenth of a meter = \frac{1}{10} × 1 meter = 0.1 meters

So we're rounding off the answer to one decimal place.

I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.

8 0
3 years ago
Write the given expression as the cosine of an angle: cos60cos105 - sin60sin105?
Ahat [919]
We know that

<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity

</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105

then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105

the answer is
cos (105°)


6 0
3 years ago
What is the lcm of 6 and 12
ira [324]

Answer:

12

Step-by-step explanation: it is 12 because LCM is least common mulitiple. The LCM is the smallest number of all the number that can DIVIDE EVENLY. 6 cannot divide evenly.


3 0
4 years ago
Read 2 more answers
Convert the angle 0=345
xenn [34]
The answer would be 0
6 0
4 years ago
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