Answer: -4/1 = 1/-4
= 1/-4
Just flip the fraction:)
Step-by-step explanation:
Answer is D. 81
1/4 x 4 = 1
81^1 = 81
The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
X^2-4x+4=-12y+24
(x^2-4x-20)/-12=y
quadratic => vertex is (-b/2a,f (-b/2a))
Note it is a minimum since coefficient a is positive
Im guessing 21 and 72 are the side lengths for the triangle?
Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2
Since i cant see the picture, im going to use some general math <span>so i</span> can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright
so im guessing the side we're trying to find is the hypotenuse
21^2+72^2=c^2
441+5184=c^2
5625=c^2
<span>√5625=c</span>
75=c
The answer is 75, hope i helped!