MATHEMATICS HIGH SCHOOL

If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.

Answers

Answer 1
Answer:

Answer:

  • The equation in slope-intercept form is

y=(5)/(2)x-5

  • The equation in the standard form will be:

(5)/(2)x-y=5

Step-by-step explanation:

  • The x-intercept is obtained when we set the value y=0

As the x-intercept is 2, therefore the point representing

the x-intercept will be: (2, 0)

  • The y-intercept is obtained when we set the value x=0

As the y-intercept is -5, therefore the point representing

the y-intercept will be: (0, -5)

So we get the two points

(2, 0)

(0, -5)

Finding the slope between (2, 0) and (0, -5)

\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)

\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)

m=(-5-0)/(0-2)

m=(5)/(2)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

Here m is the slope

substituting the values m = 5/2 and the point (2, 0)

y-0=(5)/(2)\left(x-2\right)

so writing the equation in slope-intercept form

As we know that the slope-intercept form is

y=mx+b

here

  • m = gradient or slop
  • b = y-intercept

so

y=(5)/(2)\left(x-2\right)

y=(5)/(2)x-5

Hence, the equation in slope-intercept form is

y=(5)/(2)x-5

Writing the equation in the standard form form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

y=(5)/(2)x-5

so the equation in the standard form will be:

(5)/(2)x-y=5

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multiplying polynomials

(3m-1)(8m+7)

Answers

(3m-1)(8m+7)=3m\cdot 8m+3m\cdot 7-1\cdot 8m-1\cdot 7=\n \n=24m^2+21m-8m-7=24m^2+13m-7

The product of (3m-1)(8m+7) is 24m² + 13m - 7.

To multiply the polynomials (3m-1)(8m+7), we can use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial and then combine like terms.

(3m-1)(8m+7) = 3m(8m) + 3m(7) - 1(8m) - 1(7)

Simplifying this expression, we get:

24m² + 21m - 8m - 7

Combining like terms, we have:

24m² + 13m - 7

Therefore, the product of (3m-1)(8m+7) is 24m² + 13m - 7.

We can also see that this product represents a quadratic polynomial. The highest power of the variable "m" is 2, which is indicated by the term 24m². The other terms, 13m and -7, represent the linear and constant parts of the polynomial, respectively.

The result is a quadraticpolynomial in standard form, where the terms are arranged in descending order of the variable's exponent. In this case, the quadratic polynomial is 24m² + 13m - 7.

To learn more about Polynomials;

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A city has a population of 36 X 10 X 10 X 10 X 10.what is the population written as a whole number

Answers

Answer:

6000

Step-by-step explanation:
3.636 I think that’s the answer

You are a plumber, and you are repairing a toilet leak. The job should take 0.9 hours. About how many minutes will ittake to complete the job?
O 0.015
O 5.4
O 54
O 67
O 540

Answers

Answer:

54

Step-by-step explanation:

multiply 60 by 0.9 and you get 54..?

Answer:

54

Step-by-step explanation:

0.1 is 10% of 1 and was subtracted off so we subtract 10% off 60 so 60 x 10% = 6

60 - 6 = 54

Hope this helps can I have brainliest

Round the answer to the nearest cent.

5% tax on $20 is $

Answers

5% tax on 20 dollars.
First let's convert 5% to decimal
=> 5% / 100 = .05
Next is to simply multiple 0.05 to 20 dollars
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A librarian has weekend off and has 10 paid vacation days per year

Answers

what are you looking for?

Why is h²=p²+b²plz somebody help me ​

Answers

Answer:

This formula is related to Pythagorus theorem which states that in a right angled triangle square of hypotenuse is equal to sum of the squares of other two sides.

In other words, C²=B²+A²
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