Answer: 1/5
Step-by-step explanation: Since there are 5 blue/green marbles in the bag of 20 it would be 5/20 or 1/5.

Taking the square root of both sides gives two possible cases,

or

Recall that

If
and
, we have

so in the equations above, we can write

Then in the first case,


(where
is any integer)


and in the second,




Then the solutions that fall in the interval
are

4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6
Answer: (6,-7)
Answer:
x = 46
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
2(2 + x) = 6(6 + 10)
2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )
2 + x = 48 ( subtract 2 from both sides )
x = 46