Alizard needs to stay a safe distance from a cactus. the diameter of the cactus is 12 inches. if the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). if necessary, round to the hundredths place.

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus=

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem:

Using pythagorous theorem

Hence, the direct distance of lizard from cactus=10 in

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.