The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.
Answer: For every 1 can of red paint, the number of yellow paints used by the painter is
and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by

So, for every 1 can of red paint, the number of yellow paints used by the painter is 
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.
Answer:
1241
Step-by-step explanation:
∴
L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260
∴
the required number is 1260 - 19 = 1241
Hence, if we add 19 to 1241 we will get 1260 which is exactly divisible by 28, 36 and 45.
Answer:
$60
Step-by-step explanation:
Jason saved gas money (x). Maria saved $20 more than double what Jason has (20 + 2x). Combined, they saved $200. Solve for x for Jason's amount.
(x) + (20 + 2x) = 200
x + 20 + 2x = 200
3x + 20 = 200
3x + 20 = 200
3x + 20 - 20 = 200 - 20
3x = 180
3x/3 = 180/3
x = 60
Jason saved $60 for this trip.
Answer:
subtract them
Step-by-step explanation: