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4 years ago

(2,5) and (3/2 ,2) find the slope of the line passing through the points.

Mathematics

1 answer:

larisa [96]4 years ago

4 0

Answer:

Step-by-step explanation:

To find the slope 'm' we use 2 points from the line, those are given in the statement:

$x_{1} =2\\y_{1} =5\\\\x_{2} =3/2\\y_{2} =2$

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}}$

$m=\frac{2 -5 }{3/2-2}}$

Finally m=6

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Tan x + tan 2x = 0

choli [55]

stated method in question is wrong!

<u>Step-by-step explanation:</u>

We need to find the general solution of x ! for the equation $tan x + tan 2x = 0$

⇒ $tan x + tan 2x = 0$

⇒ $(tan x + tan 2x)-tan2x = 0-tan2x$

⇒ $tan x = -tan2x$

Now , we know that $tan(\pi -2x) = -tan2x$

⇒ $tan x = -tan2x$

⇒ $tan x = tan(\pi -2x)$

Now , we know that $TanA = TanB \\A=B$

⇒ $tan x = tan(\pi -2x)$

⇒ $x = \pi -2x$

⇒ $3x = \pi$

⇒ $x = \frac{\pi}{3}$ ......(1)

General solution of Tan x is : $x = n\pi + \alpha$ , \

Here , from equation (1) we get $\alpha =\frac{\pi }{3}$ . Hence general solution is :

⇒ $x = n\pi +\frac{\pi }{3}$ .Therefore , stated method in question is wrong!

4 0

3 years ago

Please solve for x. x/16 = 9/2

VladimirAG [237]

Answer:

x = 72

Step-by-step explanation:

$\frac{x}{16}=\frac{9}{2} \\\\$

Start by multiplying 16 to both sides

$(\frac{16}{1}) * \frac{x}{16} = (\frac{16}{1}) * \frac{9}{2}$

16s on the left-hand cancel

$x =(\frac{16}{1}) * (\frac{9}{2})$

$x =( \frac{144}{2} )$

we can simplify that expression

$x = 72$

7 0

3 years ago

What kind of graph of a function shows the same output value for each input value

Jlenok [28]

The graph of a function is the same output as the value so the answer is

Answer: 7

6 0

3 years ago

Which ratio expresses the scale used to create this drawing? The post office has dimensions of 36 meters by 90 meters. A. B. C.

Dmitry [639]

Answer:

2 : 5

Step-by-step explanation:

In order to obtain the ratio between numbers, we divide by the largest common factor between both.

In this question, the numbers are;

36 : 90

The largest common faction is 18. Dividing both numbers by 18, we have;

36 / 18 : 90 / 18

2 : 5

The ratio is; 2 : 5

6 0

3 years ago

D is the centroid of △ABC. What is the value of x when GD=x+4 and GC=4x+5?

alexira [117]

Answer:

x = 7

Step-by-step explanation:

Because:

GD = x + 4

GC = 4x + 5

And D is the centroid of ABC

So GC = 3GD

<=> 4x + 5 = 3(x + 4)

<=> 4x + 5 = 3x + 12

<=> 4x - 3x = -5 + 12

<=> x = 7

Done!!

You ok?? :))

3 0

3 years ago