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strojnjashka [21]
3 years ago
14

X^2-xy+3y^2=15 x-y=2

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

x^2-xy+3y^2=15           x-y=2

Make the equation X:

x = y + 2

Plug in and Solve:

(y+2)^2 - y(y+2) + 3(y+2)^2 = 15

y = (√46) - 7/3

y = - 7 + (√46)/3

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\rm 3x^2  is the polynomial of one variable with second-order and x^2y+3xy^2+1  is the polynomial of two variables with third-order

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

\rm 3x^2  and

x^2y+3xy^2+1

For 3x^2

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  x^2y+3xy^2+1 there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, \rm 3x^2  is the polynomial of one variable with second-order and x^2y+3xy^2+1  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

brainly.com/question/17822016

7 0
2 years ago
The points A BC :(2, 2,1), :(1,1,3), :(2,0,5) − are the vertices of a right triangle. The radius of the sphere with center at th
ElenaW [278]

Answer:

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Step-by-step explanation:

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|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

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2 years ago
If the measure of angle 5 is (11 x minus 14) degrees and x = 6, which expression could represent the measure of angle 2? 3 lines
g100num [7]

Answer:

The measure of angle 2 is 52°.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that

m\angle 5=(11x-14)^{\circ}

and x=6.

From the below figure it is clear that Lines 1,2 and 3 intersect each other at a point and form 6 angles.

It is clear that angle 2 and angle 5 are vertical opposite angles because these angles created by intersection of line 2 and line 3.

If two lines intersect each other then vertical opposite angles are congruent.

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6 0
3 years ago
Read 2 more answers
What is the sum?<br> A<br> B<br> C<br> D
zalisa [80]

Answer:

\displaystyle{\dfrac{5x-12}{(x+3)(x-3)} }

Step-by-step explanation:

We are given the expression:

\displaystyle{\dfrac{3}{x^2-9} + \dfrac{5}{x+3}}

First, factor the denominator \displaystyle{x^2-9} to \displaystyle{(x+3)(x-3)} via difference of two squares:

\displaystyle{\dfrac{3}{(x+3)(x-3)} + \dfrac{5}{x+3}}

Next, multiply the expression 5/(x+3) by \displaystyle{x-3} both denominator and numerator:

\displaystyle{\dfrac{3}{(x+3)(x-3)} + \dfrac{5(x-3)}{(x+3)(x-3)}}

Add both together since they have same denominator now:

\displaystyle{\dfrac{3+5(x-3)}{(x+3)(x-3)} }

Simplify the numerator:

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Therefore, the sum is:

\displaystyle{\dfrac{5x-12}{(x+3)(x-3)} }

4 0
1 year ago
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