Answer:
The equation 
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula 
, we find that the distance between (x, y) is
and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:
Answer:
D) 171 cm²
Step-by-step explanation:
You don’t actually need to decompose it. You could just do it as a trapezoid:
(15+23)/2=19
19x9=171
If you want to decompose it into 2 triangles and a rectangle:
10=15x9=135
1/2(3)(9)=13.5
1/2(5)(9)=22.5
135+13.5+22.5=171 also
I believe the answer would be 4!
So 4 * 3 * 2 * 1
24.
Here's proof :
ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
BACD
BADC
BCAD
BCDA
BDAC
BDCA
Following this order, each letter has 6 additional options, so 4! Would answer this appropriately. Some would say 6*4 but that's the same as 4*3*2 (3 and 2 becomes 6)
2a^2b^3(4a^2+3ab^2-ab)=?
<span>
is what I presume you actually meant. </span>
<span>
Pull out the common factors of (4a^2+3ab^2-ab) and you will get </span>
<span>
a(4a+3b^2 -b) </span>
Substitute this back into the original equation and you get
<span>
2a^2b^3[a(4a+3b^2-b)] = </span>
2a^3b^3(4a+3b^2-b) =
<span>2a^3b^3(4a-b+3b^2)
</span>
