At what point of the curve y = cosh(x) does the tangent have slope 3?

To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?

Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = (x+2)

and g(x) = (x+5)

Substituting f(x) and g(x) into equation (1):

→ (x+5) = (x+2) + k

→ = k

→ k =

Thus, the value of k is 1.

Answer:

The answer is 12

Step-by-step explanation:

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

The slope can be calculated as vertical height divided by horizontal length.

=  6/4 = 3/2 = 1.5

In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, =  10/6 = 5/3 = 1.67 (approximately)

As such, <

Thus, the slope of the first climbing structure is less than that of the second.