1. Give the slope-intercept form of the equation of the line that is perpendicular to -7x+5y=12 and contains P (-7,4)

y = (-5/7)x - 1

Step-by-step explanation:

-7x+5y=12 can be solved for y:  5y = 12 + 7x, resulting in y = (7/5)x + 7/5

Any line perpendicular to this one has the slope -5/7, which is the negative reciprocal of 7/5.

This new perpendicular line contains P (-7,4)

and so we have y = mx + b = 4 = (-5/7)(-7) + b.  Thus, 4 = 5 + b, and b = -1.

Thus, the new perpendicular line is y = (-5/7)x - 1.

The slope-intercept for this actually -5/7x-1 or the first option

Step-by-step explanation:

This is the slope intercept form because the first and the fourth equation are in slope-intercept form. So the iddle 2 are crossed out, then you just hav to graph the 2 and see which one satisfies the requirments. The 1st option is 1000% the correct answer.

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

i would say c

step-by-step explanation: