Answer:
Step-by-step explanation:
4 + 9x + 3 = 29 - 2x
9x + 7 = 29 - 2x
11x = 22
x = 2
The measure of angle 3 is 150 degrees
Answer:
Expand the brackets, and simplify.
(4t - 8/5)-(3-4/3t) = (4t +4/3t) + ( -8/5 - 3) = 5 1/3t - 23/5 = 16/3t - 23/5
5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28 = 3t + 33
(-9/2t + 3) + (7/4t + 33) = (-9/2t + 7/4t) + (3 + 33) = -11/4t + 36
3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10 = 7t - 22
Answer:
3.5 repeating
Step-by-step explanation:
<span>x^2+16x+24: Think: What are the integer factors of 24? I'd list 1, 2, 3, 4, 6, 8, 12 and 24. Next: Look for a pair of factors from that list that:
(1)ADD up to 16 AND (2) whose product is 24. Unfortunately there seems to be no such pair from the above list.
So: Use the quadratic formula to find the roots of </span>x^2+16x+24:
-16 plus or minus sqrt[ 256-4(1)(24) ]
x = --------------------------------------------------
2
-16 plus or minus sqrt(160) -16 plus or minus 4 sqrt(10)
= --------------------------------------- = ----------------------------------------
2 2
2(-8 plus or minus 2 sqrt(10) )
= ------------------------------------------- = -8 plus or minus 2sqrt(10)
2
If c is a root, (x-c) is a factor. Thus, if -8 plus 2sqrt(10) is a root,
(x+8-2sqrt(10) is a factor. Can you find the other factor?
x^2-10a+25 is much easier to factor. The sqrt of 25 is 5, so try x= -5 as a root. Dividing x-5 into <span>x^2-10a+25, we get x-5. Therefore, the factors are
(x-5) and (x-5).</span>
