This equation is not factor-able, so we can use the quadratic formula.
x=(-11+square root(11^2-4(-12*-3)))/(2*-12)
x=(-11+square root(-23))/(-24)
Since we have the square root of a negative in this equation, there are no real roots for the quadratic.
Recall that the LL theorem, as well as the LA theorem, both apply only to right-triangles.
now, in the LL, if a right-triangle has congruent Legs with another, both right-triangles are congruent.
in the LA, if a right-triangle has one Leg and one Angle congruent with another right-triangle, then they're congruent.
well, in the LA, once you have a Leg and then an Angle touching that Leg, the angle is also touching another Leg, since it is an angle and is cornered by two Legs. The second Leg touched or stemming from that Angle, can only be of one possible length, because the first Leg and the Angle will constrain it to be of certain length.
and that is true for both triangles, and since both triangles will have a second Leg constrained to be a certain length, because of LA, then a second Leg will also be congruent on both right-triangles, so the theorem kinda becomes LAL theorem, Leg Angle Leg, but we can just do away with the Angle part and call it LL.
48:
48/2 = 24
24/2 = 12
12/2 = 6
6/2 = 3
We can not divide by 2, but we can divide by 3:
3/3 = 1
That's as far as we go. So I divided by 2 four times and once by 3:
Therefore:
48 = 2 * 2 * 2 * 2 * 3
Now we take 72
72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
Nine is not divisible by 2, but it is by 3, so:
9 / 3 = 3
3 / 3 = 1
That's as far as we can go.
I divided by 2 three times and by 3 two times. Therefore
72 = 2 * 2 * 2 * 3 * 3
So, taking the bigger picture:
<span><span>4872</span>=<span><span>2∗2∗2∗2∗3</span><span>2∗2∗2∗3∗3</span></span></span>
Now three two's cancel out and one three cancels out and we get
<span>2\3
answer=2\3</span>
<span>
</span>
9514 1404 393
Answer:
C = πd = 2πr
1. C = 18.84 m
2. C = 43.96 ft
Step-by-step explanation:
The formula to find the circumference is C = πd = 2πr.
__
1. C = 2π(3 m) = 6π m = 6(3.14) m = 18.84 m
__
2. C = πd = (3.14)(14 ft) = 43.96 ft
To do this we need to rearrange the equation.
m = -8j - 9k + 9
Subtract (-8j + 9) from both sides
m + 8j - 9 = -9k
Divide both sides by -9
(m + 8j - 9)/-9 = k
The answer is C
