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3 years ago

A system of equations is created by using the line represented by2x+4y=0And the line represented by the data in the table below

Mathematics

1 answer:

vekshin13 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

From the data, we obtain the slope :

-1, 8 ; 3, - 4

Slope = Rise / run

Rise = y2 - y1 = (-4 - 8) = - 12

Run = x2 - x1 = (3 - (-1)) = 4

Slope, m = - 12 / 4 = - 3

Recall:

Equation of line :

y - y1 = m(x - x1)

y - 8 = - 3(x + 1)

y - 8 = - 3x - 3

y = - 3x - 3 + 8

y = - 3x + 5

Substituting y = - 3x + 5 into the equation 2x+4y= 0

2x + 4(-3x + 5) = 0

2x - 12x + 20 = 0

-10x = - 20

x = 2

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During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in El

kolezko [41]

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

7 0

3 years ago

Find the sum of the sequence.<br> 33+34+35+36+...+130<br> I am unsure of how to solve this problem.

nadezda [96]

There are 98 terms.
98*(33+130)/2 = 7987

3 0

3 years ago

Determine the difference between the monthly payments on a $120,000 home at 6.5% and at 8% for 15 years

slega [8]

Answer:

I believe the answer is 1800

Step-by-step explanation:

120000 * 0.065 = 7800

120000 * 0.08 = 9600

9600 - 7800 = 1800

3 0

3 years ago

-2x + 3y =-9<br> X+y = 2

geniusboy [140]

Answer:

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

Step-by-step explanation:

Given equations are $-2x+3y=-9\hfill (1)$

$x+y=2\hfill (2)$

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

$2x+2y=4\hfill (3)$

Now adding the equations (1) and (3)

$-2x+3y=-9$

$2x+2y=4$

_______________

$5y=-5$

$y-\frac{5}{5}$

Therefore y=-1

Now substitute the value of y=-1 in the equation (1) we get

-2x+3(-1)=-9

-2x-3=-9

-2x=-9+3

$=-\frac{-6}{-2}$

Therefore x=3

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

8 0

3 years ago

Pls answer this I will give 10 points and brainlest for 4 to 6 answers

artcher [175]

Answer:

wheres the question

Step-by-step explanation:

4 0

3 years ago