10 POINTS!!! Label the sides of the triangle (a, b, and c). Use the Law of Cosines and the Law of Sines to solve the triangle. Round your answer to the nearest whole number.

  c = 29, A = 48°, B = 54°

Step-by-step explanation:

The unknown side is c. Using the last Law of Cosines formula, we find it to be ...

  c² = a² +b² -2ab·cos(C)

  c² = 22² +24² -2(22)(24)cos(78°) ≈ 840.445

  c ≈ √840.445 ≈ 29 . . . . . rounded to integer

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The angle at B can be found using the Law of Sines. We want the angle in the numerator, so we can write the equation as ...

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ arcsin(24/28.9904×sin(78°))

  B ≈ 54°

The remaining angle can be found using the sum of angles of a triangle:

  A +B +C = 180°

  A = 180° -B -C = 180° -54° -78° = 48°

The solution to the triangle is ...

  c = 29, A = 48°, B = 54°

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is