Which of these lines is perpendicular to the line y = 3x + 2?

a. y = 1/3x + 3

b y= 1/3x+2

c. y= -1/3x +4

d. y=3x + 1/2

(c)    will be perpendicular to the line y = 3x+2

Step-by-step explanation:

We have given the the equation of line as y = 3x+2

We know the equation of line as y = mx+c , here m is slope and c is intercept

On comparing with standard equation of line m = 3

We know that slope of perpendicular line is

So the slope of the line which is perpendicular to y = 3x+2  will be

Now (a) Line is given as its slope is so it will be not perpendicular

(b)  Line is given as its slope is so it will be not perpendicular

(c)  Line is given as its slope is so it will be perpendicular to the line y = 3x+2

(d) Line is given as its slope is 3 so it will not perpendicular to the line y = 3x+2

93.8

step-by-step explanation:

lets say, first number = x

second number = 3x+7

total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 93.8

hope this

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: