X^2-3x-10. You solve it by foiling. I attached a photo explaining how to do it.
32x = 49
x = 49/32
Now since u said improper lets make 49/32 to mixed first, then improper
Lets divide 32 and 49 and we get 1 with a remainder of 17
1 17/32
Now that's the mixed fraction, so now lets lastly make it improper
1 * 32 + 17
--------------
32
The answer is 49/32
We have that
y = -5/8 x²- 3x + 4----> multiply by 8----> 8y=-5x²-24x+32
8y-32=-5x²-24x
Factor the leading coefficient
8y-32=-5*(x²+4.8x)
Complete the square Remember to balance the equation
by adding the same constants to each side.
8y-32=-5*(x²+4.8x+5.76-5.76)
8y-32-28.8=-5*(x²+4.8x+5.76)
8y-60.8=-5*(x+2.4)²
8*(y-7.6)=-5*(x+2.4)²
-(8/5)*(y-7.6)=(x+2.4)²
-(1.6)*(y-7.6)=(x+2.4)²
is a vertical parabola-----> open down
The standard form is (x - h)²<span> = 4p (y - k)
</span>
the vertex is the point (-2.4,7.6)
4p=-1.6
p=-1.6/4----> p=-0.40
<span>the directrix is
y= k - p-------> 7.6-(-0.40)----> y=7.6+0.40----> y=8
</span>
the answer isy=8
Answer:
123619 m^3
Step-by-step explanation:
V=π(d
/2)2h=π·(38
/2)2·109 ≈ 1.23619×105m³
Not sure this is right