Answer: -4/3
The slope of the given line is 3/4. It's simply the value in front of the x. To be more specific, the equation given to us is in the form y = mx+b where m = 3/4 is the slope.
Flip the fraction and then the sign
flip the fraction: 3/4 ----> 4/3
Then flip the sign: 4/3 ----> -4/3
In other words, we take the negative reciprocal
Notice how the original slope 3/4 and the perpendicular slope -4/3 multiply to -1
Answer: 0.29166666666
Step-by-step explanation:
For this case we have to by definition, if "y" varies directly with "x" then it is true that:

Where:
k: Is the constant of proportionality
We find the constant "k" according to the given data:

Thus, the constant of proportionality is 
Now, we find the value of "y" when 

Thus, when
, the value of y is 21.
ANswer:

Answer:
x=8
Step-by-step explanation:
3x-4+2x=36
5x-4=36
5x=36+4
5x=40
8x5=40
Answer:
Area of the frame not covered with photo is equal to 129 square inches
Step-by-step explanation:
Given: Image of a frame
To find: Area of the frame not covered by the picture
Solution:
Area of rectangle = length of the rectangle × breadth of rectangle
Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches
Area of the frame covered with photo = 18 × 12 = 216 square inches
Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches