We can let
a = 1/(x-1)
b = 1/(y+2)
and rewrite the equations as
2a - b = 10
a + 3b = -9
Using the first to write an expression for b, we get
b = 2a - 10
Substituting this into the second equation gives
a + 3(2a -10) = -9
7a -30 = -9 . . . . . . . . simplify
7a = 21 . . . . . . . . . . .add 30
a = 3
b = 2·3 - 10 = -4
Now, we can find x and y.
3 = 1/(x -1)
x - 1 = 1/3
x = 1 1/3 = 4/3
-4 = 1/(y +2)
y +2 = -1/4
y = -2 1/4 = -9/4
Then the desired sum is
x + y = 4/3 -9/4 = (16 -27)/12
x + y = -11/12
The appropriate choice is ..
c. -11/12
Use distance formula:-
distance = sqrt [ (x2 - x1)^2 + (y2 - y1)^2) ]
let (x1,y1) = (-3,1) and (x2,y2) = (-1,6) Plug these values in to formula.
Hi there,
To find your answer you would, divide 2 by 10. That would give you 0.2. That means that every glass will have 0.2quarts of juice.
Hope this helped!
The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.
The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2
To find the answer (without the exponent), you should find the square root.
Now that we have the formula, let's apply it to a triangle:
90^2 + 95^2 = c^2 =
8100 + 9025 = 17125
Square root = 130.86252328302
130.86252328302 is the exact measure of the hypotenuse.
I hope this helped!
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Have an amaing day!
Sine (theta) = 5 / hypotenuse
We do not know the hypotenuse length, so let's use the tangent function.
tan (theta) = 5/7
arc tan (5/7) = 35.538 Degrees