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3 years ago

What is the slope of this line? The coordinates are: (-4,5),(0,6), and (8,8).

Mathematics

2 answers:

ANTONII [103]3 years ago

5 0

Answer:

The slope of the line is 1/4.

Step-by-step explanation:

To find the slope of any line, use the slope formula.

m = (y2 - y1)/(x2 - x1)

m = (6 - 5)/(0 - -4)

m = (6 - 5)/(0 + 4)

m = 1/4

Elodia [21]3 years ago

4 0

Answer:

Step-by-step explanation:

we have to use the formula of slope here.

we know,

slope of the line passing through (x1,y1) and (x2,y2) is-

$\frac{y2-y1}{x2-x1}$

Here, the first two points are -

(-4 , 5) and (0,6)

So, the slope will be-

$\frac{6-5}{0-(-4)}=\frac{1}{0+4}=\frac{1}{4}$

So, the slope is-

$\frac{1}{4}$

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Ivan

Answer:

Below in bold.

Step-by-step explanation:

1) as ABCD is a rhombuc AC bisects < BAD and < BCD .

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2) < ACG = < ADC + < CAD ( External angle of triangle theorem)

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2 years ago

Peter bought 8 lemons for $6. Each lemon was the same price. What was the cost of 1 lemon?

valkas [14]

Answer:

The price for 1 lemon is $0.75

Step-by-step explanation:

8x=$6

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3 years ago

Read 2 more answers

Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90 Plzzzzzz

Shtirlitz [24]

Answer:

Mean: 85 5/9

Median: 90

Mode: 95

Step-by-step explanation:

~ Part I ~

1. To find the mean, let us take the average of the numbers through the addition of these values divided by the number of numbers:

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90/9 = 770/9 = 85 5/9 (85.55.....)

~ Part 2 ~

1. Now let us arrange these numbers from least to greatest:

75 , 95 , 90 , 95 , 60 , 95 , 75 , 95 , 90 ⇒ 60,75 , 75 , 90 , 90 , 95, 95, 95,95

3. The median of this set would now be the middle number, which, (in this case) is ⇒ 90

~ Part 3 ~

1. The mode is known to be the number repeated most often, and from the previous question we see the numbers arranged in a benficial manner. Now we can straight away see that the number repeated the most is ⇒ 95

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3 years ago

Read 2 more answers

A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

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2 years ago

The number of boys if the total height would of the boys is 16.4 meters and their average height is 1.2 meters

galben [10]

Number of boys= 16.4÷ 1.2=13

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3 years ago