Answer:
There are 111 blue bags
Step-by-step explanation:
Let
x ----> the number of black bags
y ---> the number of blue bags
we know that
isolate the variable y
-----> equation A
----> equation B
substitute equation B in equation A
therefore
There are 111 blue bags
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9514 1404 393
Answer:
- tan(A) = 7/24
- sin(A) = 7/25
- cos(A) = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5
Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
