Answer as a fraction: AB = 127/13 (exact)
Answer in decimal form: AB = 9.76923 (approximate)
Sides AC and BC are the same length as AB.
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Work Shown:
AB = (3/2)x+4
AC = (1/5)x+9
These sides are equal to each other since all sides of an equilateral triangle are the same length.
AB = AC
(3/2)x+4 = (1/5)x+9
10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below
10*(3/2)x + 10*4 = 10*(1/5)x + 10*9
15x + 40 = 2x + 90
15x-2x = 90-40
13x = 50
x = 50/13
Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.
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Once we know what x is, we plug it into the expression for AB
AB = (3/2)x+4
AB = (3/2)*(50/13) + 4
AB = (3*50)/(2*13) + 4
AB = (3*2*25)/(2*13) + 4
AB = (3*25)/(13) + 4
AB = 75/13 + 4
AB = 75/13 + 52/13
AB = (75+52)/13
AB = 127/13 which is exact
AB = 9.76923 which is approximate
Because we have an equilateral triangle, AB = BC = AC.
Answer:
y = -2x +8
Step-by-step explanation:
The 2-point form of the equation of a line is useful when two points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (2 -4)/(3 -2)(x -2) +4
y = -2(x -2) +4
y = -2x +8
Step-by-step explanation:
A is the answer to the question
Answer:
d(x) = 175 - |175 - 25x|
Step-by-step explanation:
Suppose I plan to ride your bicycle from Portland Oregon to Seattle Washington and back to Portland.
Portland and Seattle are 175 miles apart. I plan to travel 25 miles every day.
If we consider the starting point i.e. Portland as the zero distance i.e. reference, then we can model the distance from Portland d(x) as
d(x) = 175 - |175 - 25x|
where x is the number of days into the ride. (Answer)
Use this for help y2-y1/x2-x1
don’t forgot to use a calculator if u have negative numbers
