2 is a prime number because you can only mulitiply by 1 and it's self.
Answer:
31x
Step-by-step explanation:
Were just looking at the top triangle because it has the points A,B, and D. now we solve for x (aka answer the equation in the parentheses). We need to get rid of the 22 so we only have x. We do that by adding it to itself so it equals 0. What we do to one side we do to the other. Now adding 22 to 9 we get 31 (put the x back).
9x - 22
+22 +22
9x - 22 = 31x
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
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x>-11</em></u></h2>
Answer:
(2,-3) and (49/29, -108/29)
Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation
(x-a)^2 + (y-b)^2 = r^2
(x-1)^2 + (y+3)^2 =1
You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0
Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1
Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.
Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.
So you have some initial amount x and we want to know how long it will take with compound interest to triple our original amount x (so 3x). The equation sets up like 3x(the amount we want)= x(original amount) times 1.062(the interest increase)^t So 3x=x(1.062)^t where t is the amount of years. When you divide both sides by x it cancels out and you end up with 3=1.062^t. Take the natural log of both sides. Ln(3) = Ln(1.062^t) and the t being an exponent can come in front of the the natural log. Ln(3) = t(Ln(1.062)) Divide both sides by (Ln(1.062)),. Ln(3)/Ln(1.062)=t. And you should just plug that into a calculator to find t.
