Titik A’(p,q) adalah titik hasil dilatasi titik A (5,9) dengan pusat P(2,4) dan skala dilatasi k = 3. Nilai 2p + q = …. 37 38 39 40 41

The formula for the x-coordinate of a dilated point $A'(p,q)$ from $A(x,y)$ with center $P(a,b)$ and scale factor $k$ is $p = a + k(x - a)$.
Given $A(5,9)$, $P(2,4)$, and $k=3$:

$$p = 2 + 3(5 - 2)$$ $$p = 2 + 3(3)$$ $$p = 2 + 9$$ $$p = 11$$

The formula for the y-coordinate of a dilated point $A'(p,q)$ from $A(x,y)$ with center $P(a,b)$ and scale factor $k$ is $q = b + k(y - b)$.
Given $A(5,9)$, $P(2,4)$, and $k=3$:

$$q = 4 + 3(9 - 4)$$ $$q = 4 + 3(5)$$ $$q = 4 + 15$$ $$q = 19$$

Now substitute the values of $p=11$ and $q=19$ into the expression $2p + q$:

$$2p + q = 2(11) + 19$$ $$2p + q = 22 + 19$$ $$2p + q = 41$$

The value of $2p + q$ is 41.