For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and 
is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is 
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B
Answer:
(6 , -1)
Step-by-step explanation:
2x+ y = 11 ----------------(I)
y = 11 - 2x --------------------(II)
Multiply the whole equation by 2
x - 10y = 16 --------------------(III)
Substitute y = 11- 2x in equation (III)
x - 10(11 - 2x) = 16
x - 110 + 20x = 16
21x - 110 = 16
21x = 16 +110
21x = 126
x = 126/21
x = 6
Plugin x = 6 in equation (II)
y = 11 - 2*6
y = 11 - 12
y = -1
Answer:
Yes.
Step-by-step explanation:
Set the equations equal to each other to determine their equality.
-4[3(x - 7)] = 6(14 - 2x)
Distribute the 3 and the 6 into their respective parenthesis.
-4[3x - 21] = 84 - 12x
Distribute the -4 into the brackets.
-12x + 84
Rearrange the equations.
84 - 12x = 84 - 12x
Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.
Answer:
By making y alone
Step-by-step explanation:
3y-14=16
+14 +14
3y= 30
divide 3 on both sides
y=10
Hope this helps!
Answer:
I think the equation is written as 3r + 2.5p, where r is the number of roses and p is the number of petunias. To find the total cost, substitute 777 to r and 888 to p. The total cost would then be:
Total Cost = 3r + 2.5p
Total Cost = 3(777) + 2.5(888)
Total Cost = 4551
The total cost would be $4,551.
