Can someone help me with the attached challenging slope problem?

Triangles A and E could lie on a graphed lin with a slope of 6

Triangles B and F could lie ona graphed line with a slope of 1/4

Triangles C and D could lie on a graphed line with a slope of 2/5

Step-by-step explanation:

The slope is rise over run.

Triangle A goes up 54 and to the right 9 so the slope is 54/9=6

Triangle B goes up 15 and to the right 60 so the slope is 15/60=1/4

Triangle C goes up 18 and to the right 45 so the slope is 18/45=2/5

Triangle D goes up 16 and to the right 40 so the slope is 16/40=2/5

Triangle E goes up 72 and to the right 12 so the slope is 72/12=6

Triangle F goes up 13 and to the right 52, so the slope is 13/52=1/4

From there we can find which slopes are the same.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: