Alliteration
Explanation:
Alliteration is the repetition of a consonant. So in the sentence the letter “b” is being repeated.
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Answer:
area = Iw
Explanation:
area = lw
where
l = length
w = width
Therefore,
The area of the shaded region = area of the big rectangle - area of the small rectangle
Therefore,
area of the big rectangle = (x+10)(2x+5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
area of the small rectangle = (x+1)(x+1) = x² + x + x + 1 = x² + 2x + 1
area of the shaded region = 2x² + 25x + 50 - ( x² + 2x + 1)
area of the shaded region = 2x² + 25x + 50 - x² - 2x - 1
area of the shaded region = x² - 23x - 49
Answer:
<h3>Plessy v. Ferguson case.</h3>
Explanation:
- The Plessy v. Ferguson case of 1896 ruled out that segregation was constitutional as long as both blacks and whites enjoyed opportunities that were separate but equal.
- However, the Supreme Court's verdict in the Plessy v. Ferguson case of 1896 was challenged by Justice Earl Warren stating that the idea of ‘separate but equal’ in public school was unconstitutional and inherently unequal.
- Thus, Chief Justice Earl Warren issued the Supreme Court’s unanimous decision in Brown v. Board of Education, ruling that racial segregation in public schools violated the "Equal Protection Clause” of the 14th Amendment.
The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
<h3>How to determine the distance of the directrix?</h3>
The equation of the ellipse is given as:
The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
Read more about directrix at:
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