Find the value for x

(x,2) and (-5,8), and m= -1

x = 1

Step-by-step explanation:

(y2 - y1) / (x2 - x1) = m

(x,2)x1 = x and y1 = 2

(-5,8)...x2 = -5 and y2 = 8

now sub

(8 - 2) / (-5 - x) = -1

6 / (-5 - x) = -1 multiply both sides by (-5 - x)

6 = -1(-5 - x)

6 = 5 + x

6 - 5 = x

1 = x

lets check it..

(y2 - y1) / (x2 - x1) = -1

(8 - 2) / (-5 - 1) = -1

6 / -6 = -1

-1 = -1 (correct)...so it checks out

x = 1

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3