If we take the square of x and square of y and then subtract them:
(csc t)²-(cot t)²=1 ( this eq. gets from basic identity
x²-y²=1......a 1+cot²x=csc²x)
equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)
So, option D is correct
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
option 3
Step-by-step explanation:
6(3√5)
4 7/8 = 4 14/16 = 78/16
2 7/16 = 39/16
39/16 + 39/16 + 39/16 + 39/16 = 156/16
78/16 + 78/16 = 156/16
156/16 + 156/16 = 312/16 = 19 8/16 = 19 1/2
Answer: 19 1/2 inches
(hope that helped <3)
Answer:
c
Step-by-step explanation:
because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.
