Answer:
The answer is D.
Step-by-step explanation:
It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.
Answer:
<em>not</em> a rectangle
Step-by-step explanation:
There are several ways to determine whether the quadrilateral is a rectangle. Computing slope is one of the more time-consuming. We can already learn that the figure is not a rectangle by seeing if the midpoint of AC is the same as that of BD. (It is not.) A+C = (-5+4, 5+2) = (-1, 7). B+D = (1-2, 8-2) = (-1, 6). (A+C)/2 ≠ (B+D)/2, so the midpoints of the diagonals are different points.
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The slope of AB is ∆y/∆x, where the ∆y is the change in y-coordinates, and ∆x is the change in x-coordinates.
... AB slope = (8-5)/(1-(-5)) = 3/6 = 1/2
The slope of AD is computed in similar fashion.
... AD slope = (-2-5)/(-2-(-5)) = -7/3
The product of these slopes is (1/2)(-7/3) = -7/6 ≠ -1. Since the product is not -1, the segments AB and AD are not perpendicular to each other. Adjacent sides of a rectangle are perpendicular, so this figure is not a rectangle.
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Our preliminary work with the diagonals showed us the figure was not a parallelogram (hence not a rectangle). For our slope calculation, we "magically" chose two sides that were not perpendicular. In fact, this choice was by "trial and error". Side BC <em>is perpendicular</em> to AB, so we needed to choose a different side to find one that wasn't. A graph of the points is informative, but we didn't start with that.
<h2>
Answer:</h2>
A) every diameter
<em>The center of a circle lies on </em><em>every diameter.</em>
<h2>
Explanation:</h2>
B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.
C) A tangent line: obviously this definition is false. A tangent line is a line not a point.
D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle
A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.
Answer:
Step-by-step explanation:
Here is the corrected question and options:
Option 1:

Option 2:

Option 3:

Option 4:

Solution:
Lets write each of the above given numbers in a simplified form:

Simplify this by converting it into a decimal form:
This becomes:
(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333
So
= 7.3
Simplify this by converting it into a decimal form:
This becomes:
221/30 = 7.3666666667
So,
= 7.367

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...
So after rounding it off this becomes:
7.36

Simplify this by converting it into a decimal form:
The value of e = 2.718
This becomes:
3.16 
= 3.16 (√5.436)
= 3.16 * 2.331523
= 7.3679949818
= 7.368
So
= 7.368
7.367995
Now we get the numbers in decimal form:
= 7.333333 = 7.3
= 7.3666666667 = 7.367
7.36 = 7.3636363636
= 7.3679949818 = 7.368
Now lets order the numbers from greatest to least:
7.36
So the correct option is:
Option 4
Pretty sure purple would be the first and green would be the last