Answer:
x=-10
Step-by-step explanation:

Add 11 on both sides.

Answer:
Step-by-step explanation:
f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x
y= 2^ (x-1) * 3^x
Domain represents all values that x can have and is all real numbers
Range all values that y can have and is y > 0 ( all real numbers that are positive)
The y-intercept is the point where the graph intersects the y-axis so x=0 there
y = 2^(0-1) *3^0 = 1/2 *1 = 1/2
the asymptote is at y= 0
Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.
Answer:
The players ran 150 meters
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:
90² + 120² = c²
8100 + 14400 = c²
c² = 22500
√c² = √22500
c = 150