Question

question 1
the distance formula
$c^{2}=a^{2}+b^{2}\tosqrt{c^{2}}=sqrt{a^{2}+b^{2}}$
$(x_1,y_2)$
$c = sqrt{a^{2}+b^{2}}$
$a=x_2 - x_1$
$b=y_2 - y_1$
$(x_1,x_1)$
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find the distance between the points (-3, -4) and (-8, 20)
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Explanation:

Step1: Identify coordinates

Let $(x_1,y_1)=(-3,-4)$ and $(x_2,y_2)=(-8,20)$.

Step2: Calculate differences

$a=x_2 - x_1=-8-(-3)=-5$, $b=y_2 - y_1=20 - (-4)=24$.

Step3: Apply distance formula

$d=\sqrt{a^{2}+b^{2}}=\sqrt{(-5)^{2}+24^{2}}=\sqrt{25 + 576}=\sqrt{601}$.

Answer:

$\sqrt{601}$