Given that the vertex of the parabola is (4,-3)
The parabola passes through the point (2,-1)
We need to determine the standard form of the equation of the parabola.
<u>Standard form of the equation of the parabola:</u>
The standard form of the equation is 
where the vertex is (h,k) and a is the constant.
Substituting the vertex (4,-3) in the above equation, we get;
---------------(1)
Substituting the point (2,-1) in the above equation, we have;
Thus, the value of a is 
Substituting the value of a in the equation (1), we get;
Thus, the standard form of the equation of the parabola is
Distances from the center of dilation are multiplied by the dilation factor. The appropriate choice is ...
... A. X'P/XP = Y'P/YP = Z'P/ZP
_____
We don't know what selection B means in this context.
Selection C will only be true if the dilation is by a factor of 2.
Selection D will only be true if P is the center of the circumscribing circle for both X'Y'Z' and XYZ.
Answer:
Long leg = 3√30 yards.
Step-by-step explanation:
Ratio of the long leg to the hypotenuse = √3 to 2.
So (6√10) / x = 2 / √3
2x = 6√10√3
x = 3√10√3
x = 3√30
The answer is Most likely D
have an arithmetic sequence here....to find the common difference, subtract the first term from the second term. 13 - 3 = 10...so basically, ur adding 10 to each number to get to the next number.
before we find s5, we r going to find a5...because we need a5 to use in the sum formula.....a5 is the fifth term, and it is 43
sn = (n (a1 + a5) / 2
s5 = (5 (3 + 43) / 2
s5 = (5 (46)) / 2
s5 = 230/2
s5 = 115 <===
or, for this particular problem, s5 is the sum of the first 5 terms.
3 + 13 + 23 + 33 + 43 = 115.....u can do it this way for s5...but if u were asked to find s20, I suggest using the formula.
