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NemiM [27]
3 years ago
9

What is the distance around a figure?

Mathematics
2 answers:
AleksAgata [21]3 years ago
5 0
The distance around a figure is called a Perimeter
podryga [215]3 years ago
4 0

The distance around a figure is called the perimeter.

Hope this helps :)

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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
3 years ago
Sally can paint a room in 7 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the
Kipish [7]
I would say about 6.25 hours
6 0
3 years ago
Read 2 more answers
A city is growing at the rate of 0.3% annually. If there were 3,278,000 residents in the city in 2015, find how many (to the nea
ss7ja [257]
The formula is
A=pe^rt
A ?
P 3,278,000
E constant, it equals 2.7
R 0.003
T 2,021−2,015=6 years

A=3,278,000×e^(0.003×6)
A=3,337,538
3 0
3 years ago
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(-3+2)-(-5+7)<br> simplify
FromTheMoon [43]

Answer:

-3

Step-by-step explanation:

First take (-3+2) and simplify that which will turn into (-1). Then take (-5+7) which will turn into (2). Then plug that back into the equation and you get (-1)-(2). And you get -3.

4 0
3 years ago
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A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?
sesenic [268]

Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

4 0
3 years ago
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