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grigory [225]
3 years ago
15

Which classification describes the following syastem of equations? x=5 y=6 -x - y +z = 0

Mathematics
1 answer:
Papessa [141]3 years ago
6 0

Answer:

Is a consistent independent system

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

we have

x=5 ----> equation A

y=6 ----> equation B

-x-y+z=0 ----> equation C

substitute equation A and equation B in equation C

-5-6+z=0

Solve for z

z=11

The solution is the point (5,6,11)

The system has only one solution

therefore

Is a consistent independent system

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Simplify 5 to the negative 4th power over 5 to the 3rd
Licemer1 [7]
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷
4 0
3 years ago
231 m 31 cm -14 m 48cm
frozen [14]
296 cm is your answer Cody. A easier way to do this question with coming on to brainly. Is add all the positive Integers OR Numbers together and then add all the negative numbers together. Then subtract the negative numbers from the positive. Something like this.

7 0
3 years ago
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Which equation is y=(x+3)2+(x+4)2 rewritten in vertex form
Julli [10]
Vertex coordinates: (h, k)

Vertex form: y = a(x-h)^2 + k

y = 2(x+3) + 2(x+4)

Use distributive property:

y = 2((x+3)+(x+4))

Simplify:

y = 2(2x+7)

y = 4x+14

This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.

Answer (in slope - intercept form):

y = 4x+14
3 0
3 years ago
VERY URGENT HAVE A TEST TO TAKE
Daniel [21]
The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.

The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius. 
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2² 
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.

5 0
3 years ago
I need a little help
yanalaym [24]

Answer:

450 simple

Step-by-step explanation:

3 0
2 years ago
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