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4 years ago

What is the point-slope form of a line with slope 3 that contains the point (2,1)?

Mathematics

1 answer:

Serjik [45]4 years ago

8 0

Answer:

A) $y-1=3(x-2)$

Step-by-step explanation:

Point-slope formula.

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

Given.

Slope (m) = 3

Points (x, y) = (2, 1)

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Of the following options, what could be a possible first step in solving the equation 3x − 1 = 2x + 4?

madreJ [45]

Move the "x" terms to the same side

5 0

3 years ago

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What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

Assoli18 [71]

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

$(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)$

Group terms that contain the same variable

$(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y$

$0-2xy^{5}+3x^{4}y$

$-2xy^{5}+3x^{4}y$

The sum is a binomial ( two terms) with a degree of 6

$-2xy^{5}$ has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

6 0

3 years ago

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Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.

Sholpan [36]

<h3><u>Question</u><u>:</u></h3>

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

<h3><u>Solution</u><u>:</u></h3>

Let the age of Tiffany be x years.
Then, the age of Emily = 4x years.
After 10 years, the age of Tiffany will be (x+10) years.
After 10 years, the age of Emily will be (4x+10) years.
Therefore, by the problem

$4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5$

So, Tiffany's present age = 5 years.
Emily's present age = (4×5) years = 20 years.

<h3><u>Answer:</u></h3>

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

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3 years ago

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A class of 50 students

Harman [31]

Answer:

Step-by-step explanation:

because u do 50 times

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3 years ago

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Show the work on 6 divided by 5,406

fenix001 [56]

I think it's the 0.0011098779

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3 years ago