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3 years ago

Through (-1,-4), parallel to y=7x-4

1 answer:

7 0

Y=7x+3

They are parallel so the slope is the same and plug in the two coordinates to get the y intercept. This gives you y=7x+3

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Simplify the expression.

Maksim231197 [3]

Answer:

6.8x - 5

Step-by-step explanation:

To answer this question I combined like terms:

(2.5x + 4.3x) - 5

2.5x + 4.3x = 6.8x

Then you add the 5 to the end of the expression:

6.8x - 5

7 0

3 years ago

In a sale normal prices are reduced by 10%

astraxan [27]

in sale normal prices are reduced by 10% nathaile bought a pair of shoes in the sale for $54 10% of 54 is 59.4

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2

Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

7 0

2 years ago

Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?

mr Goodwill [35]

Answer: (A) CDD

if D=C^-1

then

C D D = (C C^-1) D = I D = D

(where I is the identity matrix)

6 0

3 years ago

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Consider the figure.<br> Find AB if BC = 3, BD = 5, and AD = 5.<br><br> AB= ?

blondinia [14]

Answer is 9.5 First find DC by doing the Pythagorean theorem
BC is 3 BD is 5
So 3^2+ DC= 5^2
9+____=25
So DC is 4 cuz 4times 4=16

Now add AD+DC=AC

5+4=9

So BC is 3 the bottom AC is 9
3^2+9^2= 9+81=90 the sq rt of 90 is 9.5

7 0

3 years ago

Read 2 more answers