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IgorC [24]
3 years ago
9

Find the solution of the system of equations.8x-3y=2-8y-5y=46

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0
What’s this supposed to be?
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Verify the identity. cot(x - pi/2) = -tan(x)
gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

\cot(x-\frac{\pi}{2})=-\tan(x)

Convert the cotangent to cosine over sine:

\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)

Use the cofunction identities. The cofunction identities are:

\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)

To convert this, factor out a negative one from the cosine and sine.

\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)

8 0
3 years ago
In ΔFGH, f = 37 cm, ∠F=28° and ∠G=124°. Find the length of g, to the nearest 10th of a centimeter.
MatroZZZ [7]

Answer:

  65.3 cm

Step-by-step explanation:

The law of sines can be used for this.

  g/sin(G) = f/sin(F)

  g = (37 cm)sin(124°)/sin(28°) ≈ 65.3 cm . . . . multiply by sin(G)

The length of g is about 65.3 cm.

6 0
3 years ago
What is the solution of StartRoot x minus 4 EndRoot + 5 = 2?
Vlad1618 [11]

Answer:

13

Step-by-step explanation:

\sqrt{x-4}+5=2 \\\\\sqrt{x-4}=-3 \\\\x-4=9 \\\\x=13

Hope this helps!

6 0
3 years ago
Read 2 more answers
Each day Diego's mother drives to her office in Baltimore. The driving distance from home to Baltimore, Maryland is 7 miles. On
Sidana [21]

Answer:

D

Step-by-step explanation:

(7+8)*3

6 0
3 years ago
What is the equation to (-3,1) and (0,-8)
puteri [66]
The change in x between the two is 3 and the change in y is -9. 
Divide -9 by 3 to get -3 using the rise over run slope formula.  
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation. 
Hope this helps!
4 0
3 years ago
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