Step-by-step explanation:
Hey there!
The points of line AB are; (-1,-4) and (2,11).
Note:
- Use double point formula and simplify it to get two eqaution.
- Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.
~ Use double point formula.

~ Keep all values.

~ Simplify it.



Therefore this is the equation of line AB.
Now, Finding the equation of line CD.
Given;
The points of line CD are; (1,1) and (4,10).
~ Using formula.

~ Keep all values.

~ Simplify it.


Therefore, 3x - y- 2 = 0 is the eqaution of line CD.
Use condition of parallel lines.
m1= m2
Slope of equation (i)


Therefore, m1 = 5
Slope of second equation.


Therefore, m2 = 3.
Now, m1≠m2.
So, the lies are not parallel.
Check for perpendicular.
m1*m2= -1
3*5≠-1.
Therefore, they aren't perpendicular too.
So, they are neither.
<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
The surface area of the rectangular prism is 3668.94 m²
<h3>Calculating Surface area </h3>
From the question, we are to determine the surface area of the rectangular prism
Surface area of a rectangular prism is given by the formula,
Surface area = 2(lw + lh + wh)
Where l is the length
w is the width
and h is the height
From the given diagram,
l = 35.7 m
w = 25.5 m
h = 15.1 m
Putting the parameters into the formula, we get
Surface area = 2(35.7×25.5 + 35.7×15.1 + 25.5×15.1)
Surface area = 2(910.35 + 539.07 + 385.05)
Surface area = 2(1834.47)
Surface area = 3668.94 m²
Hence, the surface area of the rectangular prism is 3668.94 m²
Learn more on Calculating surface area here: brainly.com/question/1310421
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The graph<span> of </span>y<span> = </span>tan x has<span> vertical </span>asymptotes<span> at </span>x<span> = π/2 and </span>x<span> = –π/2,. The period of the </span>tangent function is<span> π, vertical </span>asymptotes<span> also occur when </span>x<span> = π/2 + nπ, where n </span>is<span> an integer.</span>
It would be C because it is right
Answer:
A) 0.028
Step-by-step explanation:
Given:
Sample size, n = 115
Population parameter, p = 0.1
The X-Bin(n=155, p=0.1)
Required:
Find the standard deviation of the normal curve that can be used to approximate the binomial probability histogram.
To find the standard deviation, use the formula below:

Substitute figures in the equation:




The Standard deviation of the normal curve that can be used to approximate the binomial probability histogram is 0.028