Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0) Part A: Find the length of each side of the triangle Show your work.
Part B: Find the slope of each side of the triangle. Show your work
Part C: Classify the triangle Explain your reasoning!

Answers:

k = 13The smallest zero or root is x = -10

Work Shown:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Step-by-step explanation:

If this is wrong i am so sorry i tried my best.