Triangle abc and triangle cde are similar right triangles. which proportion can be used to show that the slope of ac is equal to the slope of ce?
a) 6 − 3
−3 − 1
= 3 − (−3)
−1 − 3

b) 6 − 3
−3 − (−1)
= 3 − 3
−1 − 3

c) 6 − 3
−3 − (−1)
= 3 − (−3)
−1 − 3

d) −3 − (−1)
6 − 3
= 3 − (−3)
−1 − 3

Option C is the correct option.

Step-by-step explanation:

Considering the triangle ABC, the slope of the line CA is given by

Again, considering the triangle CDE, the slope of the line EC is given by

Since CA and EC represents the same straight line so, we can write

Therefore, option C is the correct option. (Answer)

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb