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3 years ago

What does it mean for an ordered pair (x,y) to be a solution to a system of equations?

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Answer:

For an ordered pair to be a solution to a system of equations, the values for x and y must agree with every equation in the system. For example, if you have two linear equations so that their lines intersect, then there is exactly one solution (x, y) such that both equations are true statements when both x and y are entered into both equations. Therefore, those two coordinates (x, y) are the only solution to that system.

In other systems, such as quadratic systems containing two equations with two second-degree variables, x^2 and y^2, you can have up to four solutions (x, y) since the graphs of these equations may intersect in up to four points. Again, it means that the coordinates to each of these points agree with all equations in the system.

Step-by-step explanation:

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3 years ago

Find the area of the regular polygon. Round to the nearest tenth.

JulsSmile [24]

Answer:

$110.9\ ft^{2}$

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

$A=\frac{1}{2} b^{2}sin(60\°)$

we have that

$b=16\ ft$

substitute

$A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}$

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3 years ago

a table is 6 feet long and 3 feet wide. you extend the table by inserting two identical table/leaves. the longest side length of

Molodets [167]

Yep... so they says that the area of the extended leaf is 18+6x... You know that the area is length into breath... here the breath doesn't change.. so it'll be 3ft... can get the length by dividing area by 3... that is 6+2x... Now the new length wil be 2times that plus the previous 6ft length

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3 years ago