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3 years ago

(2,8),(7,8) slope of the line

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

The slope of line is 0 given points (2,8)(7,8)

Step-by-step explanation:

We need to find slope of line given points (2,8),(7,8)

The formula used to find slope of line is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We are given:

$x_1=2, y_1=8, x_2=7 \ and \ y_2=8$

Finding slope using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-8}{7-2}\\Slope=\frac{0}{5}\\Slope=0$

So, the slope of line is 0

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Is 3(x + 1)2 = (3x + 3)2 an identity? Explain and show your reasoning.

Scilla [17]

Answer:

YES

Step-by-step explanation:

The equation, $3(x + 1)2 = (3x + 3)2$ , would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(1 + 1)2 = (3(1) + 3)2$

$3(2)2 = (3 + 3)2$

$12 = 12$ (TRUE)

✍️Substituting x = 2 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(2 + 1)2 = (3(2) + 3)2$

$3(3)2 = (6 + 3)2$

$18 = 18$ (TRUE)

✍️Substituting x = 3 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(3 + 1)2 = (3(3) + 3)2$

$3(4)2 = (9 + 3)2$

$24 = 24$ (TRUE)

Therefore, we can conclude that the equation, $3(x + 1)2 = (3x + 3)2$ , is an identity.

8 0

3 years ago

Due to a rise in popularity, Penny's firm begins to make hair bows rather than flower barrettes. She can make hair bows at a rat

Basile [38]

The number of bows that Penny makes per hour and the price the firm sells at shows that the value of the marginal product is $24.95 per hour.

The highest wage the firm will pay is $24.95 per hour.

<h3>What is the value of Penny's marginal product?</h3>

This can be found by the formula:

= Price x Marginal product of Penny

= 4.99 x 5

= $24.95 per hour

The highest wage the firm can pay would be the wage amount that equals their marginal revenue as this is the only way they can maximize profit.

Their marginal revenue in this case is the $24.95 per hour that they pay to Penny so this will be their highest wage to her as well.

Find out more on profit maximization at brainly.com/question/13749309.

#SPJ1

5 0

2 years ago

Find the length of the line segment shown below.

Marina86 [1]

Answer:

The end points of line segment are:

$(x_1,y_1) = (5,4)\\(x_2,y_2) = (-4,-3)$