4y - 6 + 4y^2 - 9
before simplifying this contains 4 terms
4y -15 + 4y^2
it contains 3 terms
let's cover over the formula of the vertex:
y = a(x – h)^2 + k
in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.
for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.
with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.
however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.
to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.
hence, our final answer is y=(x - 1)^2 + 1
the perimeter of the field is the sum of the lengths of the four sides:
47 yd + 158 yd + 47 yd + 158 yd = 410 yd
the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.
so the cost of jake's wood perimeter fance is
(410 yd) × ($9.84 /yd) = $4034.40
the measures of a triangle equal 180. use that to find x.
now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.
because angle a is 40°, the first option doesn't work.
because angle b is 60°, the second option does work.
when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.
when you add angle a and c, you get 120°, which is not 100.