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wariber [46]
3 years ago
12

How to find the area of a rhombus given height and side length?

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
Rhombus area = side length * height
Source:http://www.1728.org/quadrhom.htm


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Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

\frac{d}{dx}\cdot f(x)

Now the sum of the 2 functions is shown below

y=f(x)+g(x)

Diffrentiating both sides with respect to 'x' we get

\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

\frac{dy}{dx}

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

h=f(x)\cdot g(x)

Diffrentiating both sides with respect to 'x' we get

h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0
3 years ago
The expression when m=6 and n=4
OverLord2011 [107]
Step 1: plug in the numbers. 7(6)-4
Step 2 multiply 7x6 42-4
7 0
3 years ago
G must be which measure for this quadrilateral to be a parallelogram?
PSYCHO15rus [73]

Answer:

C

Step-by-step explanation:

Because Angle G needs to be the Same as I to be a parallelogram.

Sorry about my bad Explanation. :(

8 0
3 years ago
Read 2 more answers
Ben has b dollars. Cam has 7 fewer dollars than ben. How many dollars does cam have?
aleksley [76]

Answer:

b - 7 = the amount of money Cam has

Step-by-step explanation:

We don't know how much money ben has so we have to subtract 7 from <em>b</em> to find the amount of money Cam has.

Hope this helps!

5 0
3 years ago
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Write the equation for the function graphed attached <br><br> f(x)=
Anna007 [38]

Answer:

here

Step-by-step explanation:

7 0
3 years ago
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