Answer:
The difference in meaning is that
-3 is a signed value. It lies to the left of zero
+3 is also a signed value, and since it is positive, it lies to the right of zero
|-3| is just the physical distance (left or right) of -3 from zero. Since we live in a physical world, all distances are positive, so its signed value is 3.
Since +3 is also 3 units from zero, |+3| = 3
|-3| = |+3| = 3 since both are three units away from zero.
So, when using absolute values as numbers, rather than distances,
|x| = x if x is not negative
|x| = -x if x is negative
Answer:67.1875%
Step-by-step explanation:
Convert ratio into fraction 86 / 128
Answer:
Step-by-step explanation:
A quadrilateral with 4 same-length sides is a <em>rhombus</em>.
(If the corner angles are also 90°, then the rhombus is also a square. That is not the case here.)
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Adjacent angles are supplementary, so ...
x° = 180° -110° = 70°
Sides are the same length, so ...
2y = y+5
y = 5 . . . . . subtract y
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If part of the picture was cut off, the right side of the figure may be something other than 2y. If so, formulate the equation appropriately and solve for y.
The first table, representing <em>f</em>(<em>x</em>), is linear. The data have a constant rate of change or slope:
<em />(between the first two points): <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points):<em> m</em> = (34-30)/(2-1) = 4/1 = 4.
The second table, representing <em>g</em>(<em>x</em>), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.
You could keep the "X" the same and add 5 t the "Y", so then it would be (2,8)
