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vesna_86 [32]
3 years ago
9

What is the solution to the equation 2x + 4 = 23x?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

x=4/21

Step-by-step explanation:

2x+4=23x

-2x     -2x

4=21x

4/21=x

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How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?
andrew-mc [135]

Answer:

The leg is 8 cm long

Step-by-step explanation:

An isosceles right triangle has the length of its hypotenuse and opposite equal

Let us call the length x

From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have ;

x^2 + x^2 = (8 √2)^2

2x^2 = 128

x^2 = 128/2

x^2 = 64

x= √64

x = 8 cm

7 0
3 years ago
If y>0, which of these values of x is NOT in the domain of this equation? y=x2+7x
alisha [4.7K]

Answer:

\boxed{\sf \ \ \  [-7,0] \ \ \ }

Step-by-step explanation:

Hello

y=x^2+7x=x(x+7) >0\\ x>0 \ and \ x+7 >0 \ \ or \ \ x

So values of x which is not in this domain is

-7\leq x\leq 0

which is [-7,0]

hope this helps

6 0
4 years ago
When rolling a number cube, what are the odds against rolling a 6 on a single roll?
natali 33 [55]

Answer:

D

Step-by-step explanation:

if you roll a die and you want to get a 6, there are 6 sides on the cube, 5 that are not 6 and 1 that is. so the odds against you rolling a 6 are 5 to 1

5 0
3 years ago
Kate wants to fill her triangular container with orange juice. The measurements of her container are: base = 10 cm, height = 10
vlada-n [284]
Yes, because the volume equals 2,000 and that equals 2
4 0
3 years ago
Sarafina is making monthly payments into an annuity. She wants to have ​$900 in the fund to buy a new convection range in six ​m
Oksi-84 [34.3K]
\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]


\bf \begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\to &
\begin{array}{llll}
900
\end{array}\\
pymnt=\textit{periodic payments}\\
r=rate\to 8.4\%\to \frac{8.4}{100}\to &0.084\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly payments, thus}
\end{array}\to &12\\

t=years\to \frac{6}{12}\to &\frac{1}{2}
\end{cases}
\\\\\\
900=pymnt\left[ \cfrac{\left( 1+\frac{0.084}{12} \right)^{12\cdot \frac{1}{2}}-1}{\frac{0.084}{12}} \right]


solve for "pymnt"
5 0
3 years ago
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