IM DESPERATE FOR THE ANWSER....................PLZ ANYONE!!!
the right abswer should be 204
hope i helped
Answer:
the standard form of a quadratic equation is ax² + bx + c
the vertex form is a(x - h) + k where h & k are the x and y coordinates
to get from standard form to vertex form, you would have to follow this formula to find h:
-b/2a
plug in the values, and you will get the value of h.
to get k, you plug in the value you have just found in the above formula into the original equation, and that is the value of k.
the a in the vertex form is the value of a in the standard form
so an example of this would be: x² + 2x + 4 where a = 1, b = 2 c = 4
to get this into vertex form we will use the formula -b/2a and solve:
-2/2(1) --> -2/2 = -1
now we plug in the value we found into the original equation wherever x is
(-1)² + 2(-1) + 4 --> 1 - 2 + 4 = 3
we have both h and k, and we will put this into vertex form:
a(x - h)² + k turns into ---> (x + 1)² + 3
why x+1 and not x-1? the original equation has a negative sign, and the result we have is negative. this conflicts with the original equation and is therefore turned into a positive 1
where did a go? since a = 1, we do not need to write it, if a was equal to 2 then we would write the 2 in front
Answer:
Step-by-step explanation:
1. Solve the equations for x
2. Calculate the corresponding values of y
Insert the values into equation (1)
(a) x = 3
y = 3 - 1 = 2
One point of intersection is (3, 2).
(b) x = -2
y = -2 - 1 = -3
The second point of intersection is (-2, -3).
The diagram shows the intersection of the two graphs.
Answer:
(-2,-3) and (3,2)
Step-by-step explanation:
sub in x-1 into y
x^2 + (x-1)^2 = 13
x^2 + (x-1)(x-1)=13
x^2 + x^2 -2x +1 = 13
2x^2 -2x-12=0
solve for x by factoring (quadratic formula, product sum etc..)
x= -2 and 3
plug in those values into y=x-1 and solve for y
The number of runners that'll be needed for the team will be 6 runners.
Number of miles for the relay race = 1 1/2 miles
Miles to be covered by each runner = 1/4 miles
Therefore, in order to get the number of miles that are needed for the team, we will have to divide 1 1/2 miles by 1/4 mile. This will be:
= 1 1/2 ÷ 1/4
= 3/2 ÷ 1/4
= 3/2 × 4/1
= 6
Therefore, 6 runners will be needed for the relay race.
Read related link on: