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pantera1 [17]
3 years ago
5

Which of the following points is a solution to the system of equations shown? 4x + y = 1 y = x + 6

Mathematics
2 answers:
Korvikt [17]3 years ago
8 0

Answer:

(-1,5)

Step-by-step explanation:

4x+(x+6)=1

5x+6=1

6x=-5

x=-1

then...    

y=-1+6

y=5  

Ivahew [28]3 years ago
7 0
4x+y=1
y=x+6
4x+(x+6)=1
5x+6=1
5x=5
x=1
y=(1)+6
y=7
(1,7)
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Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and
SpyIntel [72]
Triangle A

hypotenuse: 3y + x
leg: y - x

Triangle B

hypotenuse: y + 5
leg: x + 5

Congruency => 3y + x = y + 5 and y - x = x + 5

Solve the system

3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5

  2y + x = 5
-2y + 4x = -10

5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3

Verify:

 hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8

Legs:

y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.

Then both hypotenuses and both legs are congruent.

Answer: x = -1 and y = 3


4 0
3 years ago
A mine elevator was at a depth of -120 feet. After 15 seconds, the mine elevator was at a depth of -30 feet. What expression can
Dafna11 [192]

Answer:

The answers to the given question are:

i.  The equipment elevator is at a depth of 176 feet (-176 feet), while the miner's elevator is at a depth of 210 feet (-210 feet) below the surface.

ii. The miner's elevator is deeper than that of the equipment.

The speed of an object is the rate at which the object moves.

i.e. speed =

Thus,

Speed of the equipment elevator = 4 feet per second

Speed of the miner's elevator = 15 feet per second.

Time of descent of the equipment elevator = 30 + 14

                                 = 44 seconds

So that, the distance of the elevator at this time is;

speed =

⇒ distance = speed x time

                  = 4 x 44

                  = 176

  distance = - 176 feet

The distance of the miner's elevator after 14 seconds is:

speed =

⇒ distance = speed x time

                 = 15 x 14

                 = 210

 distance = - 210 feet

Thus, after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miner's elevator is at a depth of 210 feet (-210 feet) below the surface.

Therefore, the miner's elevator is deeper than that of the equipment.

Step-by-step explanation:

done

4 0
2 years ago
Help! What is |-3|+|3| ?
kvv77 [185]
|a|=  \left\{\begin{array}{ccc}a&for\ a\geq0\\-a&for\ a \ \textless \  0\end{array}\right\\\\Examples:\\|2|=2\ because\ 2\geq0\\|0|=0\ because\ 0\geq0\\|-5|=-(-5)=5\ because\ -5 \ \textless \  0\\|-100|=-100\ because\ -100 \ \textless \  0

|-3| + |3| = 3 + 3 = 6
6 0
4 years ago
What is the perimeter of the triangle?<br> O 22 units<br> O 30 units<br> O44 units<br> O 60 units
umka21 [38]

Answer:

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Step-by-step explanation:

Add 12, 4 , and 6 and you will get 22

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Answer:

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Step-by-step explanation:

1 1/4 + 3 5/8 = 4 7/8 or 4.875

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3 years ago
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