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1 year ago

Write an equivalent system of equations to the following of equations: 2x+2y=-6 and x-4y=2

Mathematics

1 answer:

dlinn [17]1 year ago

5 0

Answer:

A system of equivalent equations is:

x + y = -3

2x - 8y = 2

Step-by-step explanation:

Given

2x + 2y = -6

x - 4y = 2

Required

Write a system of equivalent equations

A system of equivalent equations implies that:

When the new set of equation is solved, the solution is equivalent to the original equation.

To do this, we have to carry out the same operation on both sides of the given equation.

Take for instance

2x + 2y = -6

Multiply both sides by ½

½(2x + 2y) = -6 * ½

x + y = -3

x + y = -3 is equivalent to 2x + 2y = -6

Multiply both sides of x - 4y = 2 by 2

2(x - 4y) = 2 * 2

2x - 8y = 4

2x - 8y = 4 is equivalent to x - 4y = 2

Hence, a system of equivalent equations is:

x + y = -3

2x - 8y = 2

Note that there are more equivalent equations.

The results you get depend on the operation performed on the given equation.

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The linear regression line for Tampa Tribune Database is y=8x+367. In approximately what year is the Tampa Tribune expecting to

lakkis [162]

The Tampa Tribune expecting to add 700 new pictures per year to their database in 2041

<h3>The linear equation of the graph</h3>

The equation of the line of best fit is given as:

$y = 8x + 367$

When the number of pictures added is 700, we have:

y = 700

Substitute 700 for y in $y = 8x + 367$

$700 = 8x + 367$

Subtract 367 from both sides of the equation

$333= 8x$

Rewrite the above equation as:

$8x = 333$

Divide both sides by 8

$x = 41.625$

Remove decimal (do not approximate)

$x = 41$

This means that:

$Year = 2000 +41$

$Year = 2041$

Hence, the Tampa Tribune expecting to add 700 new pictures per year to their database in 2041

Read more about linear regression at:

brainly.com/question/26137159

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2 years ago

What is the mean of 5, 8, 16, 22, 19, 27, 32? (Round to the nearest whole number.)

Artyom0805 [142]

Answer:

B) 18.

Step-by-step explanation:

Add them up then divide by the amount of numbers there are.

7 0

3 years ago

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A 12 ft ladder leans against the side of a house. The top of the ladder is 10ft off the ground. Find x, the angle of elevation o

attashe74 [19]

The image is missing, so i have attached it.

Answer:

x = 56.44°

Step-by-step explanation:

From the attached image, we can see that this is a right angle triangle which has opposite, adjacent and hypotenuse as sides. Since we want to find the angle x, thus, we can make use of trigonometric ratios.

From the attached image, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.

From trigonometric ratios, we know that, sin x = opposite/hypotenuse

So, sin x = 10/12

x = sin^(-1) (10/12)

x = sin^(-1) 0.8333

x = 56.44°

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2 years ago

Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice

MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

$d=11*\frac{32}{60}\\d= 5.87\ mi$

This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

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2 years ago

How do you solve this?

natali 33 [55]

Not sure if you wanted answers or explanation on what to do. Ill just do the explanation and if you want the answers just lmk C:

R=1/2 d, and C=pi*2r. So you basically take the given number and plug it into these formulas.

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2 years ago

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Write an equivalent system of equations to the following of equations: 2x+2y=-6 and x-4y=2​

Write an equivalent system of equations to the following of equations: 2x+2y=-6 and x-4y=2