For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Work Shown:

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

x=6.93

Step-by-step explanation:

This is a right triangle, therefore we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.

a=x

b=11

c=13

x^2+11^2=13^2

Evaluate the exponents.

11^2=11*11=121

13^2=13*13=169

x^2+121=169

Now we must solve for x by getting x by itself. First, subtract 121 from both sides.

x^2+121-121=169-121

x^2=169-121

x^2=48

x is being squared, so we should take the square root of both sides.

√x^2=√48

x=√48

x=6.92820323

Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.

x=6.93

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.