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Fantom [35]
3 years ago
11

Find the distance between the points (5,8) and (1,5)

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

5 units

Step-by-step explanation:

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Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change. The sandwich cost $7.75 and sales tax was $
EleoNora [17]

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

                                                                 =  $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

4 0
3 years ago
Read 2 more answers
Convert the Cartesian equation 2xy = 1 to a polar equation.
GuDViN [60]
\bf \textit{Double Angle Identities}
\\\\
sin(2\theta)=2sin(\theta)cos(\theta)\\\\
-------------------------------\\\\
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\qquad 2xy=1\implies 2rcos(\theta )rsin(\theta )=1
\\\\\\
r^2\cdot 2cos(\theta )sin(\theta )=1\implies r^2\cdot sin(2\theta )=1
5 0
3 years ago
Can anyone help me solve this? Please and thank you!
AveGali [126]

It's the sum of a geometric sequence.

Let's rewrite it a bit:

\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n

And now let's calculate this sum \displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}

Now let's calculate the initial sum:

\displaystyle 32\cdot  \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67

8 0
2 years ago
In the equation below, solve for y: 2x+5y=12
Liula [17]

Answer:

y = \frac{12-2x}{5}

Step-by-step explanation:

Given

2x + 5y = 12

Isolate the term in y by subtracting 2x from both sides

5y = 12 - 2x ( divide both sides by 5 )

y = \frac{12-2x}{5}

7 0
3 years ago
Find the area of the trapezoid
GREYUIT [131]
10.5

Two ways. Mathematically you can do 3x2 for the square portion of it and then 3x1.5 for the triangle

Or you can just count the full squares then the half’s
6 0
3 years ago
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