Can someone please help ? (:

Mathematics

2 answers:

dem82 [27]3 years ago

8 0

Answer:sure what do you need

Step-by-step explanation:

Ivahew [28]3 years ago

3 0

The area is 81 because you multiply 9 times 9 is 81 and then you round to the nearest tenth is 81.0

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Solve algebraically the simultaneous equations<br><br> X^2 + Y^2 =25<br> Y-2X = 5

Georgia [21]

Answer:

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

Step-by-step explanation:

Given:

$x^{2} + y^{2} =25$ .........( 1 )

$y-2x = 5\\y=2x+5$ ................( 2 )

To Find:

x = ?

y = ?

Solution:

Substituting ' y ' in Equation 1 we get

$x^{2}+(2x+5)^{2} =25$

Using identity (A+B)²=A²+2AB+B² we get

$x^{2}+4x^{2}+20x+25=25\\\\5x^{2}+20x=0\\5x(x+4)=0\\5x=0\ or\ x+4=0\\x=0\ or\ x= -4$

Now Substitute x =0 in equation 2 we get

$y=2\times 0+5=5$

Now Substitute x =-4 in equation 2 we get

$y=2\times -4+5=-3$

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

4 0

4 years ago

You deposit $2,000 into a bank account that will bay you 4. 8% interest APR ("annual percentage rate") compounded monthly. How m

Nitella [24]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases} \\\\\\ A=2000\left(1+\frac{0.048}{12}\right)^{12\cdot 10}\implies A=2000(1.004)^{120}\implies A\approx 3229.06$