If B is the midpoint of AC and AB = 4x + 14 and BC = x + 20, determine how long AC is.

44 units

Step-by-step explanation:

Since B is the mid-point of AC

AB=BC

or,4x+14=x+20

or, 4x-x=20-14

or 3x=6

or,x=6/3=2

AC=AB+BC

= 4x+14+x+20

= 4(2) + 14 +2 +20

= 8+14+22

=44 units

44 units

Step-by-step explanation:

We know that B is the midpoint of AC, so by definition, AB = BC. Thus, set the two expressions equal and solve for x:

AB = BC

4x + 14 = x + 20

3x = 6

x = 2

Given that x = 2, plug this into the expression for AB and BC and add them to get AC:

AC = AB + BC = 4 * 2 + 14 + 2 + 20 = 44

Hence, AC is 44 units.

Hope this helps!

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.

noncoplanar points are points that do not lie on the same line.