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3 years ago

HELP QUESTION NUMBER THREE

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer:

(-3,2) is the solution to the system of equation

Step-by-step explanation:

Here, we want to know the point that serves as a solution to the system of equation

We equate the y

-2x + 4 = -1/3x-1

Multiply through by 3

-6x + 12 = -x-3

-6x + x = -3-12

5x = 15

x = 15/5

x = 3

Substitute x into one of the y

y = -2(3) + 4

y = -6 + 4 = -2

So the solution is;

(3,-2)

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were

TiliK225 [7]

Answer: 3925

Step-by-step explanation:

5 + 4 = 9

7065 / 9 = 785

785 x 5 = 3925

There were 3925 total yes votes to raise property taxes.

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3 years ago

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Graph and write solution: 2x + 1 = y -4x + 6y = -10

PIT_PIT [208]

The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

$2x + 1 = y\\-4x + 6y = -10$

Let:

$2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)$

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

$2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2$

So, value of x = -2

Now put value of x in eq(1) to find value of y:

$2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3$

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

#learnwithBrainly

4 0

3 years ago

Whats difference between |5| and -5

Mars2501 [29]

The answer is 10 bruh bruh bruh bruh bruh

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3 years ago

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What is the length of the altitude of the equilateral triangle below?

Mazyrski [523]

ANSWER

The length of the altitude is $3\sqrt{3}$ units

EXPLANATION

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is $a$

Method 1: We can use Pythagoras theorem to find $a$

$6^2=a^2+3^2$

$6^2-3^2=a^2$

$36-9=a^2$

$27=a^2$

We take the square root of both sides,

$\sqrt{27}=a$

$\sqrt{9\times3}=a$

$\sqrt{9} \times \sqrt{3}=a$

$3\sqrt{3}=a$

Method 2 Using Trigonometry

$sin(60\degree)=\frac{a}{6}$

$6sin(60\degree)=a$

$a=6\times \frac{\sqrt{3}} {2}$

$a=3\sqrt{3}$

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3 years ago

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A serving of raisin bread has 3 grams of fat and 150 calories. What percent of calories are from fat? Remember, there are 9 calo

Sergio039 [100]

Well, that means there are 3*9=27 cals from fat. 27/150=18% of calories.

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4 years ago