There's another way to do this, but I'm showing you what I use.
First: I would go ahead and subtract 9x from both sides of the equation. By doing that, the "9x" on the left side would cancel out and you would be left with "7=-6x-5"
Second: Add 5 to both sides of the equation. It should cancel out the 5 on the right and you should be left with "12=-6x"
Lastly: Divide both sides by -6, the -6 on the right next to the variable will cancel out and you'll be left with "-2=x" Which is the solution.
Answer:
6x^2 + 8x + 28
Step-by-step explanation:
2 times the length plus 2 times the width gives the perimeter
2(3x^2 + 3x + 6) + 2(x + 8)
6x^2 + 6x + 12 + 2x + 16
6x^2 + 8x + 28
Answer:
Step-by-step explanation:
#3
(i)
- P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28
(ii)
- P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56
(iii)
- P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56
<u>Another way:</u>
- P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56
#4
Outcomes with two fair coins: TT, TH, HT, HH
Outcomes with normal dice: 1 to 6
a)
- P(odd number) = 3/6 = 1/2
b)
- P(two heads and an even number) = 1/4*3/6 = 1/8
c)
- P(head and tail) = 1/2
- P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
- P(head, tail and prime) = 1/2*1/2 = 1/4
d)
- P(two tails and odd number) = 1/4*3/6 = 1/8
Hi there!
There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the
adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.
Hope this helps!! :)