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3 years ago

10

How do i solve inequalities and graph it’s solution

1 answer:

EleoNora [17]3 years ago

6 0

What is the inequality equation??
And you can easily put in your graphing calculator and press graph...
but I think equation might help batter.
I hope you get it...
I am sorry if you don’t

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Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation

Kryger [21]

Answer:

$y + x - 6 = 0$

Step-by-step explanation:

Given

$M(0,6) \ and \ N(6,0)$

Required

Find the equation of the line

First, the slope of the line has to be calculated using the following formula;

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$where\ (x_1,y_1) = (0,6) \ and \ (x_2,y_2) = (6,0)$

So, the equation becomes

$m = \frac{0 - 6}{6 - 0}$

$m = \frac{-6}{6}$

$m = -1$

The equation of the line can then be calculated using

$m = \frac{y - y_1}{x - x_1} \ or \ m = \frac{y - y_2}{x - x_2}$

$Using \ m = \frac{y - y_1}{x - x_1}$

$-1 = \frac{y - 6}{x -0}$

$-1 = \frac{y - 6}{x}$

Multiply both sides by x

$-1 * x = \frac{y - 6}{x} * x$

$-x = y - 6$

Add x to both sides

$x -x = y - 6 + x$

$0 = y - 6 + x$

Reorder

$y + x- 6 = 0$

$Using \ m = \frac{y - y_2}{x - x_2}$

$-1 = \frac{y - 0}{x - 6}$

$-1 = \frac{y}{x - 6}$

Multiply both sides by x - 6

$-1 * (x-6) = \frac{y}{x - 6} * (x-6)$

$-1 * (x-6) = y$

$-x+6 = y$

Add x - 6 to both sided

$x - 6 -x+6 = y +x - 6$

$0 = y + x - 6$

$y + x - 6 = 0$

Hence, the equation of the line is $y + x - 6 = 0$

3 0

3 years ago

Evaluate the expression for the given value of each variable

Bess [88]

Answer:

71

Step-by-step explanation:

3 . 2^2+5+2. 3^3

3 . 4 + 5 + 2 . 27

12 + 5 + 54 = 71

4 0

2 years ago

a train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled for the first 4 hour

Archy [21]

Answer: d = 95t

Step-by-step explanation: if it takes one hour to travel 95 miles, then the distance will be 95 * time

5 0

3 years ago

Read 2 more answers

You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inc

Westkost [7]

Answer:

You need 14 19/24 inches of fabric

Step-by-step explanation:

We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.

3 x 8 = 24, so we multiply the numerator and denominator by 8 and 6 2/3 becomes 6 16/24ths

2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24

8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.

Now we are adding 6 16/24 + 4 12/24 + 3 15/24

6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24

= 13 + 43/24 = 14 19/24

Please lmk if you have questions.

7 0

3 years ago

Expert help: explain the answer please

Aleksandr [31]

It be because he would want more data. I hope this helps for you and I’m very sorry if I get it wrong that was my best try am in eighth grade by the way

8 0

3 years ago