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2 years ago

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What is the slope of the line that passes through the points (8, -4)(8,−4) and (6, 2) ?(6,2)?

1 answer:

Art [367]2 years ago

6 0

The slope is 2-2/6-6 which is zero . So the slope is no slope

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Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

3 years ago

What’s the length of the hypotenuse?

denis23 [38]

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

225 = c²

15² = c²

15 = c

7 0

3 years ago

(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the poin

krek1111 [17]

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

6 0

3 years ago

Rowan reads at a constant rate of 1.5 pages per minute and has already

saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

A linear function is modeled by:

$y = ax + b$

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

He has already read 20 pages, hence the y-intercept is $b = 20$ .

He reads 1.5 pages per minute, hence the slope is $a = 1.5$

Then:

$y_R = 1.5x + 20$

For Kennedy, we have that:

He has already read 25 pages, hence the y-intercept is $b = 25$ .

He reads 1 page per minute, hence the slope is $a = 1$

Then:

$y_K = x + 25$

They will have read the same number of pages after x minutes, for which:

$y_R = y_K$

Then:

$1.5x + 20 = x + 25$

$0.5x = 5$

$x = \frac{5}{0.5}$

$x = 10$

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0

3 years ago

HIGH SCHOOL MATH ....

umka21 [38]

Answer:

The value of $B (base\ area) = 27m^2$

Step-by-step explanation:

Let's recall the the formula for volume of a pyramid.

Volume of a Pyramid $= \frac{1}{3}\times B\times H}$ ....equation $(1)$

where $B=Base\ area (m^2)$ and $H=height\ (m)$

Now we have been given the values of $V$ and $H$ and have to find the value of $B$

Plugging the values of $V$ and $H$ in equation $(1)$

$B=\frac{3\times V}{H}= \frac{3 \times 81}{9} = 27\ m^2$

Now we can also check our previous results.

$V = \frac{24\times 7}{3}=8 \times 7 =56\ m^3$

So, our final answer is $27\ m^2$

7 0

3 years ago