Step-by-step explanation:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Answer:
14
Step-by-step explanation:
d=c/pi
45/pi=14
Answer:
36 cm2
Step-by-step explanation:
tep-by-Step:
Start with the formula:
Area = a2
Don't forget: a2 = a × a (a squared).
Substitute the side length into the formula. In our example, a = 6.
Area = 6^2 = 6 × 6 = 36 cm2
Answer:
The area of the square with sides of length 6 cm is 36 cm2.
Answer:
-5 ≤ n ≤ 3
Step-by-step explanation:
Firstly we solve the equation two at a time;
5n + 17 ≥ n - 3
5n - n ≥ -3 - 17
4n ≥ -20
n ≥ -5
-5 ≤ n
n - 3 ≥ -15 + 5n
n - 5n ≥ -15 + 3
-4n ≥ -12
-n ≥ -3
n ≤ 3
Therefore,
5n+17 ≥ n–3 ≥ –15+5n, becomes
-5 ≤ n ≤ 3
The answer to this question is that the trains will meet after 3 hours.
We can work this out by considering that is the closing speed of the two
trains is (50+60=)110 miles per hour, then this must mean that the
combined distance that the trains need to travel before they meet is 330
miles. If the time that is taken to travel 330 miles at 110 miles per
hour, then you simply need to divide 330/110 to find your answer - 3
hours.
