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2 years ago

Find the slope of the line that passes through (10, 3) and (7, 11).

Mathematics

1 answer:

Vadim26 [7]2 years ago

8 0

Answer:

Slope of the line is $-\frac{8}{3}$ .

Step-by-step explanation:

Given points are:

(10, 3) and (7, 11)

Here,

x1 = 10 and y1 = 3

x2 = 7 and y2 = 11

Slope of a line is given by

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{11-3}{7-10}\\\\m = \frac{8}{-3}$

Therefore,

Slope of the line is $-\frac{8}{3}$ .

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Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8

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Answer:

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Step-by-step explanation:

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2 years ago

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You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

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$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

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3 years ago

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3 years ago

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A festival charges $3 for child admission and $5 for adult admision. At the end of the festival they have sold 779 tickets for a

lutik1710 [3]

Answer:

562 child tickets were sold

217 adult tickets were sold

Step-by-step explanation:

A festival charges $3 for children admission and $5 for adult admission

At the end of the festival they have sold a total number of 779 tickets for $2771

Let x represent the child ticket

Let y represent the adult ticket

x + y= 779..............equation 1

3x + 5y= 2771..........equation 2

From equation 1

x + y = 779

x= 779 -y

Substitute 779-y for x in equation 2

3x + 5y= 2771

3(779-y) + 5y= 2771

2337 - 3y + 5y= 2771

2337 +2y= 2771

2y= 2771 -2337

2y = 434

y = 434/2

y = 217

Substitute 217 for y in equation 1

x + y= 779

x + 217= 779

x = 779-217

x= 562

Hence 562 child tickets were sold and 217 adult tickets were sold

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