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3 years ago

Calculate the slope between the two points: (7, –4), (7, 8)

Mathematics

1 answer:

Valentin [98]3 years ago

7 0

Answer:

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Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

m = (8 - -4)/97-7)

= (8+4)/(7-7)

= 12/0

We cannot divide by 0 so the slope is undefined

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(15 points and brainliest) If x = 0 and y < 0, where is the point (x, y) located? A. on the x axis B. on the y axis

nikklg [1K]

Answer:

On the y axis

Step-by-step explanation:

If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.

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3 years ago

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3 years ago

Read 2 more answers

Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

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3 years ago

If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa

tamaranim1 [39]

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

$\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}$

$\text{Price of pair of jeans this year}=\$75+\$75\times0.02$

$\text{Price of pair of jeans this year}=\$75+\$1.5$

$\text{Price of pair of jeans this year}=\$76.5$

Therefore, the price of pair of jeans would be $76.5 this year.

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3 years ago

What are the roots of the equation x^2+6x-9=0

Mila [183]

Answer:

x = approx. 1.24 or -7.24

Step-by-step explanation:

It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.

x²+6x-9=0

x²+6x=9

x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)

x²+6x+9=18

(x+3)²= 18

x+3= ±√18

x= ±4.24 -3 (approximately 4.24)

First solution for x = 4.24-3 = 1.24

Second solution for x = -4.24-3 = -7.24

4 0

3 years ago