What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?
y = –Two-thirdsx – Ten-thirds
y = –Two-thirdsx + Ten-thirds
y = Three-halvesx – 1
y = Three-halvesx + 1

Step-by-step explanation:

We are given;

The equation of a line;

We are required to determine the equation of a line perpendicular to the above line and passing through (-2, -2).

We need to know that the product of gradient of two parallel lines is -1

m₁× m₂ = -1

Thus;

m₂ = -1 ÷ -2/3

     = 3/2

Thus, the gradient is 3/2 and the line passes through (-2,-2)

Thus, to get its equation, we take another point (x,y)

We get;

Then;

Combining the like terms,

In the form of slope-intercept;

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

The solution is in the following image

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.