Answer:
Having public authority in society is there to protect our rights, such as life liberty, and property. They are there to help keep things safe. Public authority is not to demand obedience from citizens it is there to protect them from any harm.
Step-by-step explanation:
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
<h3>What is the equation of a perpendicular line?</h3>
Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. Or if the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
y = (3/4)x + 1/3
The slope of the line is 3/4. Then the slope of the perpendicular line will be
Slope = - 1 / (3/4)
Slope = - 4 / 3
Then the equation of the line will be
y = -(4/3)x + D
The line is passing through (3, -2), then the value of D will be
-2 = (-4/3) × 3 + D
-2 = - 4 + D
D = 2
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
More about the equation of a perpendicular line link is given below.
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4600
Because the zeros aren’t significant unless they’re after a decimal point, but other numbers are significant.
Consecutive odd or even integers are of the form x, x+2.
So we have x(x+2) = 63, where Diane's age = x.
x²+2x = 63.
x² + 2x - 63 = 0
(x + 9)(x - 7) = 0
x = -9, or 7.
Since -9 is awfully young, we rule it out and say Diane's age is 7, and her sister is 9.
If the dimension of the rectangular prism will be 11 by 8 by 4. Then the volume of the rectangular prism will be 352 cubic yards.
<h3>What is a rectangular prism?</h3>
A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
A rectangular prism and its net are shown below.
Then the volume of the rectangular prism will be
Volume = LWH
where
Width (W) = 8 yd
Length (L) = 11 yd
Height (H) = 4 yd
Then the volume will be
Volume = 11 × 8 × 4
Volume = 352 yd³
Then the volume of the rectangular prism will be 352 cubic yards.
More about the rectangular prism link is given below.
brainly.com/question/12649592
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