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3 years ago

Which is the solution to the system of equations?

Mathematics

1 answer:

Svetlanka [38]3 years ago

8 0

Answer:

D. (-1, 3/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define System

4x + 2y = -1

3x + 4y = 3

Step 2: Rewrite System

4x + 2y = -1

[Multiplication Property of Equality] Multiply -2 on both sides: -2(4x + 2y) = 2
[Distributive Property] Distribute -2 on both sides: -8x - 4y = 2

Step 3: Redefine Systems

-8x - 4y = 2

3x + 4y = 3

Step 4: Solve for x

Combine equations: -5x = 5
[Division Property of Equality] Divide -5 on both sides: x = -1

Step 5: Solve for y

Substitute in x [Original Equation]: 3(-1) + 4y = 3
Multiply: -3 + 4y = 3
[Addition Property of Equality] Add 3 on both sides: 4y = 6
[Division Property of Equality] Divide 4 on both sides: y = 3/2

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Enter an equation in point slope for the line with points (6,9) and (7,9)

Jobisdone [24]

Answer:

y-9=0(x-6)

Or, equivalently: y=9

This represents a horizontal line

Step-by-step explanation:

Equation of the line

The point-slope form of the equation of a line is:

$y-k=m(x-h)$

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

The points are (6,9) and (7,9). These points dfine a horizontal line, as we'll see later.

The slope is:

$\displaystyle m=\frac{9-9}{7-6}=0$

m=0

Now compute the equation in point-slope form:

y-9=0(x-6)

Solving for y:

y=9

This represents a horizontal line

7 0

3 years ago

Diego says that the product of 0.51 x 2.427 will have five decimal places. is Diego correct.

zlopas [31]

Yes. There are 2 decimal places in .51 and 3 in 2.427.
So there would be a total of 5 decimal places.

5 0

4 years ago

Read 2 more answers

A quadrilateral has angles measuring 105°,80°and 45°.What is the measure of the fouth angle?

valentina_108 [34]

The measurement of fourth angle is: 130°

Further explanation:

Let A, B, C and D be the four angles.

m∠A=105°

m∠B=80°

m∠C=45°

We know that the sum of interior angles of a quadrilateral is 360°

So,

m∠A+m∠B+m∠C+m∠D=360°

105°+80°+45°+m∠D=360°

230°+m∠D=360°

m∠D=360°-230°

m∠D=130°

The measurement of fourth angle is: 130°

Keywords: Quadrilateral, Interior angles

Learn more about quadrilateral at:

#LearnwithBrainly

3 0

3 years ago

Find the value of x

avanturin [10]

Answer:

Step-by-step explanation:

1. 56 + 81 = 137

2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.

3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.

Zigmanuir [339]

The mean is the average.
So, to find the mean you want o add up all of the numbers and then divide by the number of numbers.

49 + 49 + 54 + 55 + 52 + 49 + 575 = 363
363 / 7 = 51.85
Rounded to 52

For the median you want o line all of your number up from least to greatest and then find the middle number.

49,49,49,52,54,55,55

Your median is 52

The mode is the number that is listed most often

49 is listed 3 times
54 is listed 1 time
52 is listed 1 time
55 is listed 2 times

So, your mode is 49

4 0

4 years ago