Answer: x = 7, x = 1
Step-by-step explanation:
|x-4| = 3
we know either x-4 = 3 or x-4 = -3
x-4 + 4 = 3 + 4
x = 7
x - 4 + 4 = -3 + 4
x = 1
Given:
The function is
(-5,n) is an ordered pair of the function rule.
To find:
The value of n.
Solution:
If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.
Substitute x=-5 in the given function.
We know that, 
. So,
Therefore, the value of n is 10.
Answer:
u=4
v=2√3
Step-by-step explanation:
The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, <em>u</em>, is 4.
The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, <em>v</em>, is 2√3.
-4x-2y = 16
2y = -4x-16
Get one variable alone on both equations
-4x - 16 = 2y
-4x - 16 = 2y
You'll realize that they're the same equation.
Use substitution
-4x-16 = -4x-16
0 = 0
x = all solutions
Use x = all solutions in an earlier equation to find y
-4x - 16 = 2y
SInce x can be all solutions y is also all solutions
y = all solutions
The answer is 20% just divide them and move the decimal 2 ways to the right
