Which of the following relation is a function.

Which of the following relations is a function- A

Determine which relation is a function- A

Step-by-step explanation:

A function is a type of relationship where x's do not repeat. So, to solve find where each y has a unique x value. In the first question, A is correct because the x values; -3, 0, 2; never repeat. Then, on the next question A is correct because it is a relation written in slope-intercept form, which is a type of function notation.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4