MATHEMATICS COLLEGE

2x- y = -2
2x + 4y =8

Answers

Answer 1

Answer:

Answer:

x=8

y=4

Step-by-step explanation:

Answer 2

Answer:

Answer:

Your point would be: (0,2)

x = 0

y = 2

Step-by-step explanation:

This would be the case if you're looking for the point by solving with substitution, or any other methods, of the systems of equations.

In any case, you are looking to find either x or y first.

I will demonstrate with the 'y' value, since it is easier when cancelling out the 'x' value.

2x - y = -2

2x + 4y = 8

(I want to make one of the two equations negative, so that I can eliminate or cancel out the 'x' value(s)).

- (2x - y = -2) --> -2x + y = 2

2x +4y = 8

---------------------------------------

5y = 10

--- ---

5 5

------------

y = 2

(Reason for putting a negative in front of the equation '2x - y = -2' was made in order to eliminate the value(s) '2x' in both equation, and in order to do that, one equation must be negative, while the other is positive, for example:

x + 2y = 6

x + 3y = 5

(You can make any of these equations negative, but only one equation is needed to be negative for the value you want to cancel out,

DO NOT TRY AND CANCEL OUT BOTH X AND Y)

-(x + 2y = 6)

Turn into:

-x - 2y = -6

x + 3y = 5

---------------

y = -1

(Back to the Original Problem)

We now need to find the 'x' value(s):

4(2x - y = -2)

8x - 4y = -8

2x + 4y = 8

----------------

10x = 0

--- ---

10 10

----------------

x = 0

Your final answer will be:

(0,2)

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Determine the value of x for which a || b if m∠1 = 60 - 2x and m∠5 = 70 - 4x.50
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Answers

x is equal to 10 cuz u would sub 70-60

A local orchestra is holding a charity concert concert at the community center. Each adult ticket $12, and child ticket costs $8. The organizers of the event hope to raise no less than $2,500, and the community center can seat up to 280 people. This graph and system in inequalities represent this situation, where x represents the number of adult tickets and y represents the number of child tickets. 12x + 8y> 2,500. X + y < 280

Answers

To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.

Inequality

The given question is an inequality situation where we are asked to use graph to solve.

The data given are

adult ticket = $12
child ticket = $8
Total amount raised = $2500
Total number of people = 280

The inequality for this problem is given is as

$12x + 8y > 2500\nx + y < 280$

Kindly find the attached image as the graph and solution to this problem.

Learn more on graphically solution for inequality here;

brainly.com/question/24372553

#SPJ2

The answer is (180,80)

An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed: _____mph Direction:______ ° If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____ miles

Answers

Answer:

Step-by-step explanation:

PLEASE HELPPPP I WILL MAKE YOU THE BRANILEST The value of x and y are proportional. Find the Constant of Proportionality (k) and find the missing values. Explain in writing under each rate table.X
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y
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Answers

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99 Points + Brainliest answer to first person.Which is the focus of a parabola with equation y^2 = 4x?
A). (–1, 0)
B). (0, –1)
C). (0, 1)
D). (1, 0)

Answers

Answer:

D). (1, 0)

Step-by-step explanation:

The parabola opens to the right, so the focus will be to the right of the vertex at (0, 0). The only answer choice with a positive x-value is D.

___

The equation of a parabola with vertex (0, 0) can be written as

y^2 = 4px

where p is the distance from the vertex to the focus. Here, that distance is 1.

Answer:

D). (1, 0) this is the only positive answer

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