The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.
For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
I got x=8
Because 5-6=-1….. 7- -1= 8…… then it’s just that.I
I don’t understand the answers given tho but that’s my guess
<span>σ</span> is a symbol for summation that means that it is used to add all the vales of the equation in the range
for example taking 0<x<4 and x is an integer
so Ď(x - 2)^2= (1-2)^2+(2-2)^2+(3-2)^2
The options were
a. Square each value
b. Subtract 2 points from each score
C. Sum the squared values
d. Subtract 22 from each X2 value
As we can see above the answer is C. Sum the squared values
Answer:
20 cm
Step-by-step explanation:
8/2 = 4
6/2 = 3
3 and 4 are the sides of the triangle (four triangles in rhombus)
c = 5
5 x 4 = 20
Hope that helped!!! k
Answer:
18
Step-by-step explanation:
One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.
We know JK = JH + HM + MK = 82 and JH = 22, so
82 = 22 + HM + MK
subtract 22 from both sides to isolate the unknowns
60 = HM + MK = HK
96 = HK + KU - HU
We know HK = 60
96 = 60 + KU
subtract 60 from both sides to isolate the unknown
We know KU = 36
105 = KN = KU + UC + CN
We know KU = 36 and CN = 51
105 = 36 + 51 + UC
105 = 87 + UC
subtract 87 from both sides to isolate the unknown
18 = UC
UC is what we're looking for, so the problem is solved
