If three points (5,1) , (1,-1) and (m,4) are collinear. find m

m = 11

Step-by-step explanation:

Since the points are collinear then the slope between points are equal.

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = = =

Repeat with

(x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (m, 4)

m = = =

Cross- multiply

m - 1 = 10 ( add 1 to both sides )

m = 11

im pretty sure its

(8,15)

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752