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vichka [17]
4 years ago
11

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?

Mathematics
1 answer:
seropon [69]4 years ago
3 0

Answer:

7x-7

Step-by-step explanation:

We have been given that PR=4x-2 and RS=3x-5. We are asked to find the expression that represents length of PS.

We know that PS=PR+RS.

Upon substituting our given values in above equation, we will get:

PS=4x-2+(3x-5)

PS=4x-2+3x-5

PS=4x+3x-2-5

PS=7x-7

Therefore, the expression 7x-7 represents length of PS.

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P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5
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\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
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Step-by-step explanation:

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Malik deposited 1050 in a savings account and it earned 241.50 in simple interest after four years. Find the interest after four
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3 years ago
Solve x + 3y = 9<br> 3x – 3y = -13 (1 point)
Mariana [72]

Answer:

The values of x and y to the given equations are x=-1 and y=\frac{10}{3}

The solution is (-1,\frac{10}{3})

Step-by-step explanation:

Given equations are x+3y=9\hfill (1)

and 3x-3y=-13\hfill (2)

to solve the given equations by elimination method :

Adding the given two equations (1) and (2) we get

x+3y=9

3x-3y=-13

_______________

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Therefore x=-1

Now substitute the value x=-1 in equation(1) we get

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Therefore the values of x and y to the given equations are x=-1 and y=\frac{10}{3}

The solution is (-1,\frac{10}{3})

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