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3 years ago

Write the equation in slope intercept form 2x+y=6

Mathematics

1 answer:

Rina8888 [55]3 years ago

3 0

Answer: the slope intercept form of 2x+y=6 is y=-2+6

Step-by-step explanation:

2x+y=6 (subtract 2x from both sides)

-2x -2x (the -2x and the 2x cancel leaving...)

<u><em>y=-2x+6</em></u> →( y equals negative two x plus six)

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2 years ago

7. A triangle has sides with lengths of 10 metres,

Kay [80]

Answer:

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.

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3 years ago

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What the that needs to be solved

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2 years ago

How do you find the y - intercept (explain in sentences)

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2 years ago

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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2 years ago