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Anton [14]
3 years ago
7

Help I will give brainiest​

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

Answer:

B (4, 9)

Step-by-step explanation:

Isolate one of the variable on the first equation

5 = -x + y

turn to

x = y - 5

Then insert this into the second equation

3 = 3(y - 5) - y

Simplify-

3 = 3y - 15 - y

3 = 2y - 15

Add 15 to both sides

18 = 2y

Divide by 2

9 = y

knowing y = 9 you can assume that -

(x, 9)

This means the only possible answer is B

Vika [28.1K]3 years ago
6 0

Answer:

c and b

Step-by-step explanation:

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
Which Graph shows a system of equations with a solution at (2,-1)
zimovet [89]
The one with the U shape going up, and the red line is tilting to the left that last picture
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3 years ago
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Short Response To earn a varsity letter on the baseball team, you must play in 60% of the games. Derek played in 11 out of 18 ba
Alla [95]

Answer:

Yes, he earned a Varsity letter because he played in 61% of the games.

Step-by-step explanation:

To know the percent of games he played out of the total, we can do it by dividing the games he played by the total of games and multiply this by 100% to get the percent of games he played:

\frac{11}{18}*100%

We solve:

0.611111*100% = 61.11%

So we know that he earned a letter because he played in 61.11% of the games, more than he needed.

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tamaranim1 [39]
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Help me please I need an answer asap
Sergio [31]

Answer:

c option

Step-by-step explanation:

please mark me brainliest and 5 star

3 0
3 years ago
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