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DanielleElmas [232]
3 years ago
5

Which system of equations has exactly one solution?

Mathematics
2 answers:
Nastasia [14]3 years ago
7 0

Answer:

A.) 2 x minus 4 y = 8. x + y = 7.

Step-by-step explanation:

A.) 2 x minus 4 y = 8. x + y = 7.

2x-4y = 8

x+y=7

This has one solution

B.) 3 x + y = negative 1. 6 x + 2 y = negative 2.

3x+y = -1

Multiply by 2

6x +2y = -2

This is the second equation  so it has infinite solutions

C.) 3 x + 3 y = 3. Negative 6 x minus 6 y = 3.

3x+3y =3

Multiply by -2

-6x-6y = -6

The equation is the same but the constant, which means they are parallel lines, they have zero solutions

D.) 3 x minus 2 y = 4. Negative 3 x + 2 y = 4.

3x -2y = 4

Multiply by -1

-3x +2y = -4

The equation is the same but the constant, which means they are parallel lines, they have zero solutions

Ira Lisetskai [31]3 years ago
4 0

Answer:

A.) 2 x minus 4 y = 8. x + y = 7.

Step-by-step explanation:

A.) 2 x minus 4 y = 8. x + y = 7.

2x - 4y = 8

x - 2y = 4

x = 4 + 2y

x + y = 7

4 + 2y + y = 7

3y = 3

y = 1

x = 4 + 2

x = 6

Only solution: (6,1)

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The X multiple answers are 60 or 55 or 9 or 27 and
Molodets [167]

Step-by-step explanation:

It is an isosceles triangle , it has two equal angles both 55°.

All Isosceles triangles have two equal angles <em>a</em><em>n</em><em>d</em> two equal sides.

So in this case x +18 is equal to 3x, and to find x you will equal them to each other to create a linear equation and solve.

x + 18 = 3x

x - 3x = -18

-2x = -18

× = -18 / -2

× = 9 <em>(</em><em>a</em><em>n</em><em>s</em><em>)</em><em> </em>

Hope I was able to help. Good Luck :)))

5 0
3 years ago
The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation
Alona [7]

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

5 0
3 years ago
Read 2 more answers
Please helppp ;-; how do you determine the end behavior of a function?
Karolina [17]

Answer:

End Behavior of a Function. The end behavior of a polynomial function is the behavior of the graph of f( x ) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Step-by-step explanation:

3 0
2 years ago
Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?
goldfiish [28.3K]

Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

x^{2} =(x_{A}- x_{C}) ^{2} + (y_{A}- y_{C}) ^{2}

Replacing the numeric values:

r^{2} =(3- (-2)) ^{2} + (2-3) ^{2}\\r^{2} =(5) ^{2} + (-1) ^{2}\\r=\sqrt{26}

The radius of the circle is √26.

6 0
3 years ago
Rotate this figure 270 degrees clockwise
Lemur [1.5K]

Answer:

it's the third answer

Step-by-step explanation:

360 degrees is a full circle so you subtract the 90 degrees from it and get 270. The only turn it would need to be a full 360 is 90 degrees. hope this helps

6 0
2 years ago
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