(-6)(-0.4)(-0.5) = (-1)6⋅4⋅5⋅10⁻² = -1.2
Answer:
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Step-by-step explanation:
<h3>Given binomial:</h3>
x⁴ + 4y⁴
In order to factorize it, follow the steps:
<h3>Complete the square:</h3>
- x⁴ + 4y⁴ =
- (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
- (x² + 2y²)² - (2xy)² =
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Used identities:
- (a + b)² = a² + 2ab + b²
- a² - b² = (a + b)(a - b)
The general equation of an ellipse in which case it is not centered at the origin and it is tilted is; (x-h)²/a² + (y-k)²/b² = 1.
<h3>What is the general equation of a tilted ellipses not centered at the origin?</h3>
It follows from the task content that the plane shape in discuss is an ellipse which is described by the characteristics that it is tilted and not centered at the origin.
It follows from convention that the general equation of such an ellipse is;
(x-h)²/a² + (y-k)²/b² = 1.
In which case, such an ellipse has center given as point; (h, k).
Read more on ellipse;
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The rate of change is also called the slope
the formula foe the rate of change is (y2-y1) / (x2-x1)
x1 = -3
x2 = 6
y1 = 14
y2 = -1
rate of change = (-1 - 14) / (6- (-3)
= -15 / 9
= -5/3
Hi there! So, we know that the price of the camera is $84, and the carrying case is 12% of that price. Let's find the cost of the case. To find the cost of the carrying case, all you have to do is multiply the price of the camera by the percentage. 84 * 12% (0.12) is 10.08. The price of the carrying case is $10.08. Let's add that price to the price of the camera. 84 + 10.08 is 94.08. $94.08 is the purchase price, but we're not done. We must add the tax in to find the total price. We can add 100% to the tax rate of 6% to get 106% Adding 100% to the amount of tax helps us get straight to the total price. Multiply that by 94.08. 94.08 * 106% (1.06) is 99.7248 or 99.72 when rounded to the nearest hundredth. There. The total price of the purchase is $99.72.
