21/30 simplifies to 2.1/3 so it's a little bit bigger
You do not have any point labeled "H" in your diagram.
What I can tell you is that point "G" (where all 3 medians meet) is called a centroid.
<span>
Along </span>each<span> median:</span>
the distance from EACH vertex to the centroid (point G) is TWICE the distance from the centroid to the side.
<span>CG = 2*GE AG = 2*GD BG = 2*GF
</span>
OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.
Here's the quadratic formula:
When the equation is in the form of Ax² + Bx + C = 0
then x = [ -B plus or minus √(B²-4AC) ] / 2A
I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.
The first question says 3x² + 5x + 2 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes ! A=3 B=5 C=2
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
= [ -5 plus or minus √(5² - 4·3·2) ] / 2·3
= [ -5 plus or minus √(25 - 24) ] / 6
= [ -5 plus or minus √1 ] / 6
x = -4 / 6 = -2/3
and
x = -6 / 6 = -1 .
_______________________________________
The second question says
4x² + 5x - 1 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes it is ! A=4 B=5 C= -1
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
Now, you take it from here.
The answer would be 64 inches or 5 feet 4 inches.
3 yards is equal to 108 inches and 1 foot is equal to 12 inches which equals 120 inches
120-56=64
