Joshua used two wood beams, pc and qa, to support the roof of a model house. the beams intersect each other to form two similar triangles qrp and arc. the length of segment pr is 3.4 inches, and the length of segment cr is 5.1 inches. the distance between a and c is 4.2 inches.
what is the distance between the endpoints of the beams p and q?
2.02 inches
2.8 inches
2.5 inches
3.4 inches

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

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.

answer: asdfghjkl,mnbv

step-by-step explanation:

i agree because i see the other persons thinking is clear