10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0
10x = 0
x = 0 <== this one is eliminated because x cannot be zero
x - 5 = 0
x = 5 <== ur answer
Answer:
Not sure of the rest but hope this helps
<span>The simple interest formula is:
A = P · (1 + r · t)
where:
A = total amount
P = principal
r = rate
t = time
Let's solve for r:
A = P + P · r · t
P · r · t = A - P
r = (A - P) / (P · t)
The quantity A - P is defined as the Interest, therefore:
r = I / (P <span>· t)
= 1020 / (8500 </span>· 4)
= 0.03
Therefore the rate was 3%.
</span>
By Pythagorean theorem
x²+GF²=EF² ( where G is the point of intersection of perpendicular lines)
now, GF=1/2 EF= 12
x²+12²=24²
x²=24²-12²
x²=432
x=√432
x=12√3
x≈20.78
Answer:
24x^4+18x^3-15x^2 -42x-24
Step-by-step explanation:
(6x^2-3x-6)(4x^2 +5x+4)=
6x^2*4x^2 +6x^2*5x+6x^2*4
-3x*4x^2 - 3x*5x-3x*4
- 6*4x^2 -6*5x-6*4=
24x^4+30x^3+24x^2-12x^3-15x^2 -12x
-24x^2-30x-24=
24x^4+18x^3-15x^2 -42x-24
