The graph of which of the following will be perpendicular to the graph of 4x- 3y= -12
a. 4x+3y=12
b. y=-3/4x-8
c. y=3/4x+1
d. 3x-4y=1

(b) y=-3/4x-8

Step-by-step explanation:

The graph that will be perpendicular to the graph 4x - 3y = -12

If this equation is represented in form of the straight line equation y = mx + b

it will change to 3y = 4x + 12

therefore y = (4/3)x + (12/3)

y = (4/3)x + 4

which implies that m = 4/3 while b = 4

However for the line that will be perpendicular to the graph, its slope m1 must be negative inverse of the slope of the initial graph

This is because m x m1 = -1

therefore m1 = -1/m

this implies that the correct answer must have a slope of -1/(4/3) = -3/4

The correct answer can then be analysed by expressing all options with y = mx + b

(a) In form of y = m1x + b, 4x+3y=12 becomes y = -4/3x + 4 (m1 = -4/3: wrong)

(b) In form of y = m1x + b, y=-3/4x-8 has m1 = -3/4 (correct)

(c) In form of y = m1x + b, y=3/4x+1 has m1 = 3/4 (wrong)

(d) In form of y = m1x + b, 3x-4y=1 becomes y = 3/4x - 1/4 (m1 = 3/4: wrong)

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%