The expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
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The area of the rectangle = length x width
= (3x² + 8x + 7)(7x²)
= 21x⁴ + 56x³ + 49x²
Thus, the expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.
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Answer: 1. 200, 2. 300
Step-by-step explanation:
40 * 10/2 = 400/2 = 200
or this way:
40 = 20%
40/2 = 20
20 = 10%
20 * 10 = 200
——————————————
90 * 10/3 = 900/3 = 300
or this way:
90 = 30%
90/3 = 30
30 = 10%
30 * 10 = 300
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!
If the weight of the object on Earth is presented as e and it is stated in this item that the weight of the object in the mass is only 1/6 of it then, the mass of the object in the moon is e/6. Thus, the answer is letter B. m = e/6.
