Answer: 1/3
Step-by-step explanation:
If you enter 1/3 into a calculator, you should get something around .3333336
Given equation of line y=0.25x-7.
On comparing given equation with slope-intercept form y=mx+b.
We get m=0.25.
0.25 could be written 25/100 in simplest fractions 1/4.
Line are perpendicular.
Therefore, slope of the perpendiular line would be reciprocal and opposite in sign of the given slope of the line.
Reciprocal of 1/4 is 4 and opposite of sign of 4 would be -4.
So, the slope of the required line is m=-4.
We are given a point (-6,8).
Applying point-slope form, we get
y-y1=m(x-x1)
y-8 = -4(x- (-6))
y-8 = -4(x+6)
y-8 = -4x -24.
Adding 8 on both sides, we get
y-8=8 = -4x -24+8
y=-4x-16.
Therefore, the equation y=-4x-16 is perpendicular to the given eqution of line.
Answer:
a=24
b=10
c=26
Step-by-step explanation:
Perimeter is the sum of the sides (
)
The legs (a and b) have a ratio of 5:12, which means that
, which can be simplified to
, where b will be the smaller leg.
The hypotenuse will be double the smallest leg, 2b, increased by 6 meters, giving us an equation of 
Let's plug these in to get one variable:

Now that we have a, we can plug it in to our previous equations to find our other sides:


Double-checking:

Answer:
267 miles
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