Step-by-step explanation:
straight line = 180 degree
example
1) 2w - 24 + 2w - 40 = 180
4w = 180 + 24 + 40
4w = 244
w = 244/4
.......
2) 13n - 11 +(-9 + 12n)
13n - 11 -9 + 12n = 180
25n -20 = 180
25n = 180 + 20
25n = 200
n = 200/25
.........
X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
Answer:
-4
Step-by-step explanation:
-5+4= -1
-1-3= -4
-4-6= -10
-10+9= -1
-1-3= -4
x = 26
Because 26-2=24 which would be right because it needs to equal the same size as the other side that is across from it.
y = 11
Because it’s the same size as the bottom side, which is also the side across from it.
This is true because a parallelogram has 2 sets of parallel side!!!
I hope this helps! :)
Answer:
Let x represent the number from the sentence.
Step-by-step explanation:
2(x) + 2(1/x) = 20/3
2x + 2/x = 20/3
multiply both sides of the equation by 3x
6x + 6 = 20x
6x - 20x + 6 = 0
6x - 18x - 2x + 6 = 0
6x(x-3 -2(x-3) = 0
(6x-2 = 0 or x-3 = 0
6x = 2 or x = 3
x = 2/6
x = 1/3
Since x represented the number
Therefore x = 1/3 or 3
