Perpendicular means the slopes are opposite inverse of each other
If line a is slope 2, the perpendicular line to Line a would have a slope - 1/2
Difference in y over difference in x gives slope. If they are opposite inverse values the lines are perpendicular. ( in this case the answer is true.)
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Answer: D. regular hexagon</h3>
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
Answer:
x³ - 3x² + 5x - 3 / x² - 2
Step-by-step explanation:
Given in the question,
volume of a rectangular prism = x³ - 3x² + 5x - 3
base area of a rectangular prism = x² - 2
Formula for the volume of prism
V = BA x H
here BA is base area
H is height
Formula for the height of prism
H = V / BA
plug values in the formula
x³ - 3x² + 5x - 3 / x² - 2
We will do long division
x - 1
----------------------------
x² - 2 | x³ - 3x² + 5x - 3
x³ - 2x²
---------------------------
-x² + 5x - 3
-x² + 2
----------------------
5x - 5
The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.
Answer:
, 
and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is 
Step-by-step explanation:
We attached a table below,
We attached a table below,
Therefore ,
correlation coefficient 
We calculate the least squares equation.
Now , calculate intercept coefficient.
Therefore, the regression equation is,
Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8
