To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.
Taking the negative reciprocal of -1/5 gives 5.
Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.
y=5x+b
4=5(1)+b
4=5+b
b=-1
Therefore, the equation of the perpendicular line is y=5x-1.
Answer: 22.5 kg
Step-by-step explanation:
You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.
cost of pencil = x = 0.07
and cost of eraser = y = 0.03
Step-by-step explanation:
let cost of pencil = x
and cost of eraser = y
So, we have equations:

Solving both equations to find value of x and y
Let:

Multiply eq(1) with 4 and eq(2) with 3 and subtract

Putting value of x in equation 1:

So, x= 0.07 and y = 0.03
cost of pencil = x = 0.07
and cost of eraser = y = 0.03
Keywords: System of equations
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Answer:
It has a maximum
Step-by-step explanation:
The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.
I hope this helped!