Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (where x = 0).
Use the given points, substituted into the standard equation, to get 2 equation with m and b as unknowns. Solve this pair of equations for m and b, using the standard methods.
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Answer: or .
Step-by-step explanation:
Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.
The total number of cards in a deck 52
Number of faces cards in a deck = 12
Number of cards not face cards = 40
The total number of combinations of drawing 9 cards out of 52 cards =
Now , the combination of 9 cards such that exactly 6 of them are face cards =
Now , the probability that the hand contains exactly 6 face cards will be :-
Hence, the probability that the hand contains exactly 6 face cards. is .
Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.
Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.
The vertex is at -b/(2A). if you use the foil method it will come out to -(x^2+2x+1)+4. then distribute the negative and simplify the equation (add the four) the equation comes out to be -x^2-2x+3. The vertex is at x=2/(2*-1), which is -1. plug -1 into the original equation to find y, (y=-(-1)^2-2*(-1)+3) which is y=4. so the vertex is at (-1,4). then since the parabola opens down (negative a value) and has a maximum at 4, y is always less than or equal to 4. x is all real numbers as it goes on forever. so b is your answer.
Answer:
29000 feet
Step-by-step explanation:
Move decimal points 4 places to the right.