Write 600 as a product of a prime factor give your answer in index form

This is problems on common factors.

(a) 600 = 2 × 2 × 2 × 3 × 5 × 5

      = 2³ˣ 3 ˣ 5²

(b)   The highest common factors could be calculated using factors methods and the divisional methods.

Here we go.

(i)   600  = 2³ ˣ 3 ˣ 5²

    1050 = 2 ˣ 3 ˣ 5² ˣ 7, the highest common factor HCF will be

     HCT = 2 ˣ 3 ˣ 5²

              = 150.

The divisional methods.

    600) 1050 ( 1

           -  600

              450 ) 600 ( 1

                      -  450

                          150 ) 450 ( 3

                                 - 450

                                  000

So the answer is 150, the principle is that you continue to divide and subtract until you arrive at zero.

Answer = 150

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b) well because you get well

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it