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2 years ago

If a= 2b, then a-c= 2b-c?? Which property of equality is being used?

Mathematics

1 answer:

andriy [413]2 years ago

4 0

Answer:

Subtraction Property of Equality

Step-by-step explanation:

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Find the discriminant of x^2+6x+13=0. What does this number tell you about how many real solutions there are to the equation? Sh

Lana71 [14]

Discriminant = sq root of b^2 - 4*a*c =
sq root of 36 - 4*1*13 =
sq root 36 -52 =
sq root 36 -52 =
sq root -16
There are no real solutions for this equation. Both roots are complex numbers.

5 0

2 years ago

Read 2 more answers

Which number is greater 134 ir 143 explain . draw a picture

gogolik [260]

$134 < 143$
this would be right

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2 years ago

What kind of problem do we need to use “indefinite integral” to solve? Use a real life example to explain.

anastassius [24]

Answer:

Indefinite integration acts as a tool to solve many physical problems.

There are many type of problems that require an indefinite integral to solve.

Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.

As an example consider the following example:

Suppose that we need to calculate the total force on a object placed in a non- uniform field.

As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by

$E(x)=\frac{E_{o}}{e^{kx}}$

Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.

But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by

$dF=E(x)\times qdx\\\\dF=\frac{qE_{o}}{e^{kx}}dx$

Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown

$\int dF=\int \frac{qE_{o}}{e^{kx}}dx$

Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.

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2 years ago

P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5

sveticcg [70]

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}\\\\
-----------------------------\\\\
\textit{p is inversely proportional to the cube of (q-2)}\implies p=\cfrac{k}{(q-2)^3}
\\\\\\
now \quad 
\begin{cases}
p=6\\
q=3
\end{cases}\implies 6=\cfrac{k}{(3-2)^3}$

solve for "k", to find k or the "constant of variation"

then plug k's value back to $\bf p=\cfrac{k}{(q-2)^3}$

now.... what is "p" when q = 5? well, just set "q" to 5 on the right-hand-side, and simplify, to see what "p" is

4 0

2 years ago

Cos(x+y)/cos(x)sin(y)=cot(y)-tan(x)

zhuklara [117]

So there is an identity we'll need to use to solve this:

cos(x+y) = cosxcosy - sinxsiny

replace the numerator with the right hand side of that identity and we get:

(cosxcosy - sinxsiny)/cosxsiny

Separate the numerator into 2 fractions and we get:

cosxcosycosxsiny- sinxsiny/cosxsiny

the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx

7 0

2 years ago