Given: △acm, m∠c=90°, cp ⊥ am
ac: cm=3: 4, mp-ap=1.

find am.

Step-by-step explanation:

Given: △ACM, m∠C=90°, CP ⊥ AM , AC:CM=3:4, MP-AP=1.

Solution: Let AC=3k and CM=4k, then from △ACM, we get

Now, AM=MP+AP⇒5k=MP+AP    (1)

It is also given that MP-AP=1         (2)

Therefore, from (1) and (2),

(MP+AP)(MP-AP)=5k

Add and subtract on left side

          (3)

But, since CP ⊥ AM, Δ CMP and Δ CAP are right triangles. Therefore,

Thus, Equation (3) becomes,

Thus, AM=5k

⇒AM=

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.