Given: q = 7m + 3n, r = 11 - 2m, s = n + 5, and t = -m - 3n + 8.

simplify r - s + t.
m - 2n - 2
-m + 2n - 2
3m - 4n + 14
-3m - 4n + 14

The answer is=-3m-4n+14

Step-by-step explanation:

Step-by-step explanation:

Step 1: Express terms in the form R-S+T

Where R=11-2m, S=n+5, T=-m-3n+8

Replace values for R, S and T in R-S+T= (11-2m)-(n+5)+(-m-3n+8)

Step 1: Collect all the like terms

Open the brackets

11-2m-n-5-m-3n+8

Like terms are similar variables, for example;

(-2m, -m) are all like terms since they have a common variable (m)

(-n, -3n) are also like terms since they have a common variable (n)

(11,-5,8) are constants

Step 2: Solve

-2m-m-n-3n+11+8-5=-3m-4n+14

The answer is -3m-4n+14

the graph on the bottom right

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