Chapter 5 Prealgebra Question: 1-3 Mr. Keene drew and labeled triangle ABG, shown below, on the board for his students. B. 20 in. 12 In. А 16 in. a) Using the side lengths, explain why triangle ABG is a right triangle. b) Mr. Keene erased and relabeled the side lengths of triangle ABG. The new lengths were each 5 inches less than the original lengths. Explain why triangle ABC can no longer be called a right triangle

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

you are uyytr tyy

step-by-step explanation:

the answer is 1030 it's very simple math.