Which ordered pair is a solution of the equation y = x - 2
a. (3,1)
b. (1,3)
c. (-1,3)
d. (3, -1)?

Option (a) is correct.

(3, 1)  is the ordered pair that is the solution of the equation y = x - 2

Step-by-step explanation:

Given : equation y = x - 2

We have to find the ordered pair that is the solution of the equation y = x - 2

We will check each option one by one and see which satisfies the given equation.

Consider equation y = x - 2

a)  (3, 1)

Put x = 3 and y = 1

LHS = 3 - 2 = 1 = y

b) (1, 3)

Put x = 1 and y = 3

 LHS = 1 - 2 = -1 ≠ y

c) (-1, 3)

Put x = -1 and y = 3

 LHS = -1 - 2 = -3 ≠ y

d) (3, -1)

Put x = 3 and y = -1

 LHS = 3 - 2 = -3 ≠ y

Therefore, only (a) is correct.

42.4

step-by-step explanation:

convert to decimal

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