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3 years ago

15

Determine the slope using slope formula.>

1 answer:

zavuch27 [327]3 years ago

7 0

take two points from line

(4,2)
(1,-1)

$\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}$

$\\ \sf\longmapsto m=\dfrac{-1-2}{1-4}$

$\\ \sf\longmapsto m=\dfrac{-3}{-3}$

$\\ \sf\longmapsto m=1$

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2 years ago

Read 2 more answers

Consider the equation below.

Eduardwww [97]

Answer:

The equation has no solutions .

Step-by-step explanation:

Given as :

<u>The linear equation is </u>

$\dfrac{3}{4}$ (24 -16 x) = $\dfrac{-2}{3}$ (18 x -27)

Or, $\dfrac{3}{4}$ ×24 - $\dfrac{3}{4}$ × 16 x = $\dfrac{-2}{3}$ × 18 x - $\dfrac{-2}{3}$ × 27

Or, $\dfrac{3}{4}$ ×24 - $\dfrac{3}{4}$ × 16 x = $\dfrac{-2}{3}$ × 18 x + $\dfrac{2}{3}$ × 27

Or, $\frac{3\times 24}{4}$ - $\frac{3\times 16 x}{4}$ = $\frac{-2\times 18 x}{3}$ + $\frac{2\times 27 x}{3}$

Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9

Or, 18 - 12 x = - 12 x + 18

Or, 18 - 18 = - 12 x + 12 x

or, 0 = 0

∵ The linear equation has no variables , so the equation has no solution

Hence,The equation has no solutions . Answer

8 0

3 years ago

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent.Find the single reduction the

Evgen [1.6K]

Answer:

40% . The single reduction together is 40%.

Step-by-step explanation:

Let the bicycle cost is x before reduced price.

First 25% is reduced and again 20% further reduced.

Let the single reduction is y% if the two reduction together are equal.

Solution,

Case .1

reduction cost $=x\times 25%$ %

$=x\times 25/100$

$=x/4$

The cost of bicycle after reduction of 25% is

$=x-x/4=3x/4$

cost of reduction further reduction of 20% $=3x/4\times 20$ %

$=3x\times 20/(4\times 100)$

$=3x/20$

The new cost of bicycle is further reduction of 20% is

$=3x/4-3x/20$

$=\left ( 15x-3x \right )/20$

$=12x/20=3x/5$

Case.2

if single reduction is done new cost of cycle is equal

$x-x\times y$ %= $3x/5$

$x\left ( 1-y/100 \right )=3x/5$

$\left ( 100-y \right )/100=3/5$

$100-y=60$

$y=40$ %

single reduction of a cycle is 40%

8 0

3 years ago

Jane was asked to find the factors of 8. Here is her work: 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 Factors of 8: 8, 16, 24 Which stateme

Maru [420]

Answer:

Jane found multiples of 8.

Jane should have gotten 1, 2, 4, 8 as her answer.

Step-by-step explanation:

Factors : 1,2,4,8.

1*8=8

2*4=8

4 0

3 years ago