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3 years ago

Please I need help? And can u help me with the other questions I asked on my profile?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line

m = $\frac{5-2}{8-2}$ = $\frac{3}{6}$ = $\frac{1}{2}$

the line crosses the y-axis at (0, 1) ⇒ c = 1

y = $\frac{1}{2}$ x + 1 ← equation in slope- intercept form

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Simplify the expression

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Answer:

A. ${x}^{3} - x - \frac{6}{2x + 3}$

Step-by-step explanation:

$\frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}$

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3 years ago

A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des

geniusboy [140]

Answer:

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>

$\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]$

(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>

$\vec r_{B} = 4\,\hat{i}\,\,\,[mi]$

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

$\vec r = \vec r_{A}+\vec r_{B}$ (1)

$\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]$

$\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

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3 years ago

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4 years ago

Read 2 more answers

Why the systems must have the same solution?system(a)4x-5y=13.....3x+6y=11........system(b) 8x-10y=26.....x-11y=2.........AKA QU

Y_Kistochka [10]

When you add the equations in (a) you get 7x+y=24.

When you subtract the equations in (b) you also get 7x+y=24.

That means to solve both systems you can work with the same equation. However that is not enough. We must have two equivalent equations. We found only one.

Notice however that in the (b) we can take the first equation and divide every term by 2. When we do this we get 4x-5y=13. That’s the first equation in (a).

So both systems can be solved by working with the same two equations. These are 5x-5y=13 and 7x+y=24. And since we have two equations and two unknowns (the number of equations matches the number of variables) there is only one solution — one x and y that would make both systems true — solve both systems.

Basically we showed the systems are equivalent!

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3 years ago

Please i need help on this quietion ASAP!!!!!!!

crimeas [40]

Answer:

1 & 4 are proportional to each other, if that helps at all!

Step-by-step explanation:

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3 years ago

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