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3 years ago

Write an equation in point-slope form of the line that passes through the given point and with the given slope m

Mathematics

1 answer:

bagirrra123 [75]3 years ago

7 0

Answer:

$y-2=4(x+5)$

Step-by-step explanation:

The given point is (-5, 2) and the slope is 4.

Point-slope form is given by:

$y-y_1=m(x-x_1)$

We will let (-5, 2) be (x₁, y₁) and will substitute 4 for m. Therefore:

$y-(2)=4(x-(-5))$

Simplify:

$y-2=4(x+5)$

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Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

tankabanditka [31]

Answer:

The option " The sum has degree of 6 , but the difference has a degree of 7 " is correct.

Step-by-step explanation:

Given that the sum and difference of the polynomials $3x^5y-2x^3y^4-7xy^3$ and $-8x^5y+2x^3y^4+xy^3$

<h3>Now sum the given polynomials :</h3>

$3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)$

$=3x^5y-2x^3y^4-7xy^3-8x^5y+2x^3y^4+xy^3$

$=-5x^5y+0-6xy^3$

$=-5x^5y-6xy^3$

Therefore $3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)=-5x^5y-6xy^3$

In the simplified <u>sum of the polynomials</u> $-5x^5y-6xy^3$ we have <u>the degree is 6</u>

<h3>Now difference the polynomials </h3>

$3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)$

$=3x^5y-2x^3y^4-7xy^3+8x^5y-2x^3y^4-xy^3$

$=11x^5y-4x^3y^4-8xy^3$

Therefore $3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)=11x^5y-4x^3y^4-8xy^3$

In the simplified <u>difference of polynomials</u> $11x^5y-4x^3y^4-8xy^3$ we have <u>the degree is 7</u>

Therefore the option " The sum has degree of 6 , but the difference has a degree of 7 " is correct

6 0

3 years ago

Read 2 more answers

Mark as brainliest<br><br> answer correctly not dumb

Vsevolod [243]

Answer:

C) { $-3$ }

Step-by-step explanation:

The line of this graph is $-3 = y$ , so with that being said, you have your answer.

I am joyous to assist you anytime.

7 0

4 years ago

It’s due tonight I would appreciate the help

tatuchka [14]

If you divide both sides of your inequality by five, you see that k must be less than 9

k < 9 that is equivalent.

You can make another equivalent inequality by multiplying both sides by 3.

3k < 27

7 0

3 years ago

Read 2 more answers

6x + 3y = 9

anzhelika [568]

Answer:

Step-by-step explanation:

Given the 2 equations

6x + 3y = 9 → (1)

2x + 3y = 1 → (2)

Subtracting the 2 equations term by term eliminates the y- term

Subtract (2) from (1) term by term, that is

(6x - 2x) + (3y - 3y) = 9 - 1

4x = 8 ( divide both sides by 4 )

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (2)

2(2) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

The solution is x = 2, y = - 1 → A

5 0

3 years ago

If f(x)=2x^2+5sqrt(x-2),complete the following statement f(6)=_____

Anon25 [30]

Answer:

f(3)=

Step-by-step explanation:

4 0

4 years ago