Line perpendicular to a given line is = 1/m
To find m, use m =y2-y1/x2-x1 formula
m = (8-(-3))/(-7-4)
m = 11/-11,
m = -1
Use y= mx+c to find equation of line
Plug in a pair of values,
-3= -1(4)+ c
c= 1
Thus, equation is:
y = -x+1
Equation of line perpendicular to this line is:
y= x+1
Hope it helps :)
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Answer:
( 400-x)/3
Step-by-step explanation:
Total chocolate chips Savannah had = 400
Number of chocolate chips she saved for garnishing =x
Number of chocolate chips remain = 400-x
Number of brownie pans = 3
Chocolate chips were spread evenly in 3 pans,
Chocolate chips were in each pan of brownies =( 400-x)/3
Not too sure but i think it’s D
Answer: 14
Step-by-step explanation:
Okay so it asks in all, which means morning distance + afternoon distance
We got the afternoon distance so now we have to find the morning one
it says the afternoon distance (6), is 25% less than the morning distance.
Which means the afternoon distance is 0.75 of the morning distance.
so 0.75x = 6, x = 6/0.75 = 8
Then you add 8 to 6 to get 14
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
