Answer: x = $7, y = $6
Step-by-step explanation:
Let x be the cost of an adult ticket
Let y be the cost of a children's ticket
Translate these sentences to algebra:
At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51
Five adult tickets and two child tickets cost $47: 5x + 2y = 47
Now we have two equations. Let's use substitution to solve.
3x + 5y = 51
3x = 51 - 5y
.: x = 17 - 5y/3
Now substitute this value of x into the second equation to find the numerical value of y:
5(17 - 5y/3) + 2y = 47
85 - 25y/3 + 2y = 47
-19y/3 = -38
-19y = -114
.: y = 6
Now find x:
x = 17 - 5y/3
x = 17 - 10
.: x = 7
So an adult ticket costs $7, and a child ticket costs $6 :)
Answer: x = 1
x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i
x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i
x2 = 0
Step-by-step explanation:
Answer:
a = 
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.:
<em>Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.
My answer:
We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

Given that: b=3 and c=4

so a =
We know that tangent relates opposite side of a right triangle with adjacent side.

Please have a look at the attached photos.
Answer:
12 units
Step-by-step explanation:
Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change. Thus, the distance between the two points is merely the horizontal distance, 12 units.
nice drawing
(altho I think this is for other subject)