Answer:
see below
Step-by-step explanation:
We need to find the diameter of the square
We can find this using the Pythagorean theorem
a^2+b^2 = c^2 where the legs are 7 and 7 and the diameter is c
7^2 +7^2 = c^2
49+49 = c^2
98 = c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
9.899494937 = c
Since 9.9 is less than 11 which is the diameter of the circle it will never touch the circle.
Since the longest part of the square is less than the diameter of the circle, the square will fit inside the circle without touching
You didn't give any choices, but the equation looks like this: 17 = 2x + 5. Solving that for x tells you that he went on a big water slide 6 times. 2 times 6 plus 5 is the $17 he spent at the park. See how well that works out?
Answer:
A
Step-by-step explanation:
When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

We begin by applying the natural logarithm to each side.

Log rules allow use to rearrange the exponent as multiplication in front of the log.

ln e as an inverse simplifies to 1.

We now apply the inverse operations for subtraction and multiplication.

Option A is correct.
go down to (0, -9) on the graph, from there go up four and over one and plot the next point, up four over one again, and repeat