Which of the following is the correct action to take when simplifying the expression (xy^2)^3
1 answer:
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<h3><u>Answer:</u></h3>
Hence, the equation of line is:
y= -6x
<h3><u>Step-by-step explanation:</u></h3>Clearly from the graph we could see that the line passes through the point (0,0) and (-1/2,3).
Also we know that the equation of a line passing through (a,b) and (c,d) is given as:
Here we have:
(a,b)=(0,0) and (c,d)=(-1/2,3)
Hence, the equation of line is:
Hence, the equation of line is:
y= -6x
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)
Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.
The lateral faces are equilateral triangles of side length x.
The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.
now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.
by the Pythagorean theorem:
thus,
thus:
(cm^2)
but
is exactly the base area, since the base is a square of sidelength = x cm.
So, the total surface area = base area + lateral area =
cm^2
Answer: cm^2
(and the lateral edges of the pyramid are also equal to each other)
Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.
The lateral faces are equilateral triangles of side length x.
The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.
now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.
by the Pythagorean theorem:
thus,
thus:
but
So, the total surface area = base area + lateral area =
Answer:
Simply substitute the point into the given equation; as there is one variable, you only need one point and so one is given. When done so, you shall get b=4
Down payment is 20% of the price of the home. Since the couple saved $35,000, and assuming they will pay the whole money as down payment, the highest priced home they can get is a price whose 20% is $35,000.
We can setup an equation in x (being the price of home) to get the price of the most expensive home they can buy.
<em>Which number (x) , multiplied by 20%, is equal to $35,000?</em>
<em></em>
So, the most expensive house they can buy is worth $175,000.
ANSWER: $175,000