The result of the evaluation as demanded in the task content is; -40 - 80√3.
<h3>What is the value of a²-b²?</h3>
The expression; a² - b² can be evaluated by means of difference of two squares as follows;
a² - b² = (a+b)(a-b)
Therefore, we have;
= ((√3 +5√3 -5) + (√3 -5√3 -5)) ((√3 +5√3 -5) - (√3 -5√3 -5))
= (2√3 -10)(10√3 +10)
= 60 - 80√3 -100
= -40 - 80√3.
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Answer:
y = - 2x² - 2x + 40
Step-by-step explanation:
Standard form of a quadratic is y = ax² + bx + c : a ≠ 0
Given
y = - 2(x + 5)(x - 4) ← expand factors using FOIL
= - 2(x² - 4x + 5x - 20)
= - 2(x² + x - 20) ← distribute parenthesis by - 2
= - 2x² - 2x + 40 ← in standard form
X=area of the country A
y=area of the country B
we saggest this system of equations:
x+y=178,973
x=y+373
we solve this system of equations by substitution method.
(y+373)+y=178,973
2y=178,973-373
2y=178600
y=178,600/2=89,300
x=y+373
x=89300+373=89,673
answer:
area of the country A=89,673 Km²
area of the country B=89,300 Km²
To check
The combined land area of the countries A and B is =89,673 Km²+89,300 Km²=178,973 Km²
Country A (89,673 Km²) is 373 Km² more larger than country B (89,300 Km²).
89,673 Km²=89,300 Km²+373 Km²
Answer:
5 remainder 4
25/5=5 and you have 4 left
Step-by-step explanation: