Pis the centroid of triangle abc. ae = 21, cd = 14, and bf = 11. what is the length of ap?

Answer

Step by Step Explanation

1) Due to the Centroids Theorem we can say that:

AP=2/3AE

AP=2/3*21

∴AP=14

2) Finally, AE =AP+AE

21=14+7 ⇒21=21 True

AP =2PE verifies the Theorem too.

So, the size is 14 .

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.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.