Answer:
a. 20.5
Step-by-step explanation:
because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x
therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a
Answer:
20
Step-by-step explanation:
Givens
Let child one = x
Let child two = y
Let child three = z
Equations
x^2 + y^2 + z^2 = 100
xy + xz + yz = 150
Solution
There's a trick here. The square of their weights added together is equal (with some modification) to the given conditions. Start by squaring (x+y+z).
(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2xz + 2yz
Take out 2 as a common factor from the last three terms.
(x + y + z)^2 = (x^2 + y^2 + z^2+ 2(xy + xz + yz) )
Substitute the given conditions into the equation. (x^2 + y^2 + z^2) = 100 and 2*(xy + xz + yz) = 2 * 150
(x + y + z)^2 = 100 + 2*150
(x + y + z)^2 = 100 + 300
(x + y + z)^2 = 400
Take the square root of both sides.
sqrt(x+y+z)^2 = sqrt(400)
x + y + z = 20
Note
This answer tells you nothing about the values of x y and z. On the other hand it does not ask for the values of x y and z.
12/3x(11) that is the simplest form you can get it to
C.) infinitely many solutions.
Given the equation, x - 2(x -6) = -x + 12:
x - 2(x -6) = -x + 12
Distribute -2 into the terms inside the parenthesis:
x - 2(x -6) = -x + 12
x - 2x + 12 = -x + 12
Combine like terms:
-x + 12 = - x + 12
Subtract 12 from both sides:
-x + 12 - 12 = - x + 12 - 12
- x = - x
Add x to both sides:
- x + x = - x + x
0 = 0 (true statement).
This means that any value of x will satisfy the equation, thereby making it infinitely many solutions.
Answer:
(- 2, 4 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the original x- coordinate.
A translation of 6 units up means add 6 to the original y- coordinate.
Thus
(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )
