The standard form of equation is: 4x+2y = -13
Step-by-step explanation:
the standard form of a linear equation in two variables is given by:

Given equation is:

Distributing -4 into the round bracket

Adding 4x on both sides

subtracting 5 from both sides

The standard form of equation is: 4x+2y = -13
Keywords: Linear equation, variables
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Answer:
The expression of the ellipse is: 
Step-by-step explanation:
The equation of a ellipse can be written by the following expression:

Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:

The length of the major axis is the distance between the two vertices.
![2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2](https://tex.z-dn.net/?f=2a%20%3D%20%5Csqrt%7B%5B2%20-%20%28-2%29%5D%5E2%7D%5C%5C2a%20%3D%20%5Csqrt%7B%282%20%2B%202%29%5E2%7D%5C%5C2a%20%3D%20%5Csqrt%7B4%5E2%7D%5C%5C2a%20%3D%204%5C%5Ca%20%3D%202)
Therefore the expression of the ellipse is:

Answer:
Apogee
Cap
Cope
Crest
Step-by-step explanation:
We will use l´Hopital´s rule for calculating limits involving indeterminate form (in this case: ∞ / ∞ ) using the derivative of the numerator and denominator:

This is still form ∞/∞ and we will use the derivative again:

=1/∞ =
0The sequence converges.
Proportions vs. Percent Equations Two Sides of the Same Coin POD Remember that a proportion deals with the equality of two ratios. Now YOU try it. What is a percent equation? In class problems: Define Percent Equation using p. 456 of your textbook Take a look at this proportion: 12 8 2x+12 24 = Can the 12 and 24 cancel?
<span>Explain. (zoom back out to see the proportion if needed) Is there another way to simplify this problem before cross multiplying? complete with you neighbor and turn in ONE sheet together! Question #2 Question #1 Do you have to use cross products to solve this proportion? Question #3 #4 - SOLVE the proportion TWO different ways! (hint: the book uses a slightly different name for this concept...) FIRST: SECOND: Amount Base % 100 = Convert the proportion below into a percent equation: Percent Equation ...write it down!</span>