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Gennadij [26K]
2 years ago
8

Which ordered pair below is a solution to the following system of equations?

Mathematics
1 answer:
KatRina [158]2 years ago
3 0

The solution of the equation is given by (-2,-1), This is represented by option C.

<h3>What is a System of Equations?</h3>

A system of equations is a set of equation that have a common solution.

The solution of the equations can be determined by using the Elimination and Substitution method

3x-5y = -1

2x-y = -3

-7x = 14

x = -2

Substituting this value in the equation

3 * (-2) -5y = -1

-6 -5y = -1

-5y = 5

y = -1

Therefore, the solution of the equation is given by (-2,-1), This is represented by option C.

To know more about System of Equations

brainly.com/question/12895249

#SPJ1

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A segment had a coordinates (-4, 9) and (0, 7). What is the midpoint of the segment
Agata [3.3K]

The x-coordinate of the midpoint is the average of the x-coordinates of the endpoints. The y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

x-coordinate of midpoint: (-4 + 0)/2 = -4/2 = -2

y-coordinate of midpoint: (9 + 7)/2 = 16/2 = 8

Answer: The midpoint is (-2, 8).

4 0
3 years ago
Pre Calc work, I need help with writing piece wise functions from graphs. Can anyone help? Giving brainliest
Andrei [34K]

The definition of the piece-wise function is:

  • f(x) = 2.5x + 1, -2 \leq x \leq 2
  • f(x) = -3, 2 < x < 6.

<h3>What is a piece-wise function?</h3>

A piece-wise function is a function that has different definitions, depending on the input.

In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:

m = (6 - (-4))/(2 - (-2)) = 2.5.

The y-intercept is of b = 1, hence the rule is:

f(x) = 2.5x + 1, -2 \leq x \leq 2

For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:

f(x) = -3, 2 < x < 6.

More can be learned about piece-wise functions at brainly.com/question/27262465

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5 0
2 years ago
Please select the best answer from the choices provided
Ira Lisetskai [31]

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

<u>Step-by-step explanation:</u>

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

4 0
3 years ago
Elizabeth bought a plant and planted it in a pot near a window in her house. Let H represent the height of the plant, in inches,
adell [148]

Answer:

63.5 in

Step-by-step explanation:

y2-y1/x2-x1

28.5-21/2.5-1 = 5

y=mx+b

21=5(1)+b

21-5= 16

b=16

y=mx+b

y=5(9.5) + 16

=63.5

6 0
3 years ago
Read 2 more answers
Create a model to show 2 × 5.
Sliva [168]

Answer:

The model is shown in the attached picture. The solution is 10.

Step-by-step explanation:

There are two way of showing a model for 2×5

  1. The tape diagram has 2 equal-sized parts of 5
  2. The tape diagram has 5 equal-sized parts of 2

Both models give the same solution:

  1. 5+5=10
  2. 2+2+2+2+2=10

In the attached picture we can show two types of diagram.

5 0
4 years ago
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