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evablogger [386]
2 years ago
13

What is the vertex of the graph shown below? Write your answer in the form (x,y).

Mathematics
1 answer:
UkoKoshka [18]2 years ago
7 0
(-3,-2) because you are finding the point where it starts (vertex)
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Peter participated in a 5 k race and finished the race in 17 min. A 5 k race is 5,000 m long. How would you calculate peters ave
svetoff [14.1K]

Answer: Peters average speed in m/min is 294.1176 m/min


Step-by-step explanation:


Peter participated in a 5000m race and finished the race in 17 min.


Speed is calculated as Distance/Time


Peters average speed in m/min = Distance covered in m / Time taken in minutes

= 5000/17

= 294.1176 m/min


Therefore, Peters average speed in m/min = 294.1176 m/min


Hope it helps.


Thank you :)




5 0
3 years ago
Read 2 more answers
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No thanks I choose life
8 0
3 years ago
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
What is the distance between points W (-6, 4) and X (6,-8) to the nearest hundredth?
fomenos

Answer:

-1

Step-by-step explanation:

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3 years ago
What is -6x+9+4x-9 equal too
matrenka [14]
Collect like terms
-2x is the answer
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