Answer:
(-1/2,-5/2)
Step-by-step explanation:
x-y = 2
x+y = -3
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Through Elimination, we can just add the system of equations. The y cancels out and gives us the single equation for x:
2x = -1
x = -1/2
Substitute -1/2 for x in either equation and you get:
(-1/2) + y = -3 Solve for y
y = -5/2
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First, write the equation of the line containing the points <span>(2,-5) and (-3,2).
We can use 2 point form, or point-slope form.
Let's use </span>point-slope form.
the slope m is

, then use any of the points to write the equation. (ex, pick (2, -5))
y-(-5)=(-7/5)(x-2)
y+5=(-7/5)x+14/5
y= (-7/5)x+14/5 - 5 =(-7/5)x+14/5 - 25/5 =(-7/5)x-11/5
Thus, the lines are
i) y=-ax+4 and ii) y=(-7/5)x-11/5
the slopes are the coefficients of x: -a and (-7/5),
the product of the slopes of 2 perpendicular lines is -1,
so
(-a)(-7/5)=-1
7/5a=-1
a=-1/(7/5)=-5/7
Answer: -5/7
Answer:
Let the current speed be "c";
Then the boat speed in still wate is "5c":
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Upstream speed:
distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs
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Downstream speed:
distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs
Step-by-step explanation:
Equation:
time + time = 2 1/2 hrs
3/c + 2/c = 5/2
Multiply thru by 2c to get:
6 + 4 = 5c
c = 2 mph (speed of the current)
5c = 10 mph (speed of the boat in still water)
17 x 2 = 34 boxes of crayons per year
8.98 x 34 = $305.32 for the year
Answer:
70
Step-by-step explanation:
Porque si haces 31-18=13
57-44=13 entonces están subiendo en 1e y luego haces 57+13=70