Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
The expression of Volume in cubic meter 
(8)(6)(6)+(8)(6)(4)
The correct option is (1)
<h3>What is Volume?</h3>
Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.
Volume will be,
V= Volume of rectangular pyramid + Volume of cuboid
Volume of rectangular pyramid= * base area* height
= * 6*8*(10-4)
= * 6*8*6
Volume of cuboid= l*b*h
= 4*6*8
So, Volume = * 6*8*6 + 4*6*8
= (8)(6)(6)+(8)(6)(4)
So, The expression of Volume in cubic meter (8)(6)(6)+(8)(6)(4).
Learn more about Volume here:
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Answer:
x^2 -2x+1
Step-by-step explanation:
(x - 1 )(x - 1)
FOIL
first: x*x = x^2
Outer: -1x
inner: -1x
Last: -1*-1 = 1
Add these together
x^2 -1x-1x+1
x^2 -2x+1
The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this context, is the number 415.9 a parameter or a statistic?
Answer: The number 415.9 is a parameter because it represents the population characteristic.
<u>Explanation:</u>
Parameter: Parameters are numbers that summarize the entire population. For example the population mean summarizes the entire population, similarly population standard deviation describes the characteristic of entire population.
Statistic: Statistic are numbers that describes the sample. For example, the sample mean summarizes the sample which is drawn from the population, similarly the sample standard deviation describes the characteristic of sample.
Therefore, the population mean length of the holes at the golf courses (415.9 yd) is parameter.
So, what i noticed is that there is a pattern regarding the grayed blocks. The first one starts off with 2, then 4, then 6. It is adding 2 each time, ex; 2+2+4, 4+2=6. The answer would be that the sixth one would have 12 grayed blocks.
