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Kruka [31]
3 years ago
5

Which best describes the vertices

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

The figure that is made up when all these points are plotted on a graph is a square.

Just in case, I attached an image of all the points plotted on the graph.

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Write another way to represent 3^-5
Dmitrij [34]
4x10^-3 is another way to represent 3^-5
3 0
3 years ago
Read 2 more answers
A circular oil slick is expanding at a rate of 3m/min. How fast is the area of the oil slick changing when the diameter is 48 me
olga55 [171]

Answer:

48\pi \:m/min

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

Area  \: of \:  circular  \: oil  \: slick  \\ A = \pi {r}^{2}  \\  differentiating \: w \: r \: to \: t \: on \: \\  both \: sides \\  \\  \frac{dA}{dt} =  \frac{d}{dt} (\pi {r}^{2} )\\  \\  \frac{dA}{dt} =\pi  \frac{d}{dt} {r}^{2} \\  \\  \frac{dA}{dt} =\pi  \times  2{r}\\  \\  \frac{dA}{dt} =2\pi {r} \\  \\   \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times  {24} \\  \\   \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi  \: m \: per \: min

6 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is
goldenfox [79]
The slope would be -1/2
8 0
3 years ago
A parking garage charges a $2.50 daily fee plus an hourly rate of $4.00. If you have $12.50 to pay for parking, how long can you
Vesnalui [34]

Step-by-step explanation:

First we need to set up an equation so

12.50=4x+2.50

Simplify each side by subtracting the initial fee of 2.50

10=4x

divide by 4 to isolate x

2.5=x

You can park for 2.5 hours with your budget

8 0
3 years ago
Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

p=0.07  

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
3 years ago
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