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What is the vertex of x minus 4 squared equals to 2 y plus 5?
The equation you gave, 2y+5 = (x-4)2 can also be expressed as y = 0.5(x-4)2 - 5. In the form a(x-p)2 + q, the vertex is the point (p, q). Thus, the vertex of 2y + 5 = (x-4)2 is (4, -5).
What are the values of p and q if y plus 4x equals 11 is the perpendicular bisector equation of the line joining p 2 to 6 q?
The values of p and q work out as -2 and 4 respectively thus complying with the given conditions.
If 2x -3y equals 8 and x equals -2 what is the value of y?
2x - 3y = 8 and we know that x = -2 So plug in -2 for x. 2(-2) - 3y = 8 *Multiply 2 and -2 together. -4 - 3y = 8 *Add 4 to both sides so you can get y by itself on one side. +4 +4 -3y = 12 *Now divide both sides by -3 /-3 /-3 y = -4 *After diving by -3 on both sides you get that y equals -4 (12/-3 = -4). ***Whenever solving for a variable, whether it be y or x or q or z, you are going to isolate the variable you are solving for and work from there to get your answer. You want to be able to get an answer like x= or y= or q= or z=.
What is the improper fraction as a mixed number?
Given an improper fraction of the from x/y where x and y are integers and x>=y>0,let x = q*y + r [q is the quotient and r the remainder when x is divided by y].Then x/y = (q*y + r)/y = q + r/yFor mathematically inclined people who wish to cover all bases for the assumptions that x>=y>0If y is negative, then the numerator and denominator of the fraction can be multiplied by -1 to give an equivalent fraction; except that now y > 0.If 0 < x < y then q = 0 so that x/y is a proper fraction and so there is no mixed number.If x < 0 then swap with -x (which will be >0), calculate the mixed number and put a negative sign in front of the answer.
4 times the sum of q and p?
It is: 4*(q+p)
