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Zarrin [17]
3 years ago
15

What is the definition of a unit rate?

Mathematics
1 answer:
Arada [10]3 years ago
4 0
When rates are expressed as a quantity of 1, such as 2 feet per second<span> or </span>5 miles per hour<span>, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.</span>
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a (1,4) b (-1,2) c (5,-2) are the vertices of triangle abc find the sum of coordinates of the point where the right bisector of
zmey [24]

Answer:

3.

Step-by-step explanation:

Find the midpoint of BC:

midpoint = (-1+5)/2, (2-2)/2 = (2, 0).

The slope of BC = (2 - -2) / (-1-5) = -2/3.

Find the equation of the right bisector of BC:

The slope = -1 / -2/3 = 3/2.

y-y1 = m(x-x1)

y - 0 = 3/2(x - 2)

y = 3/2x - 3.

Now find the equation of the median through C:

The midpoint of AB = (1 - 1)/2, (4+2)/2

= (0, 3).

The equation of the median:

The slope = (-2-3) / (5-0)

= -1.

The equation is:

y - 3 = -1(x - 0)

y -3 = -x.

Now we find the point of intersection by solving the 2 equations:

y - 3 = -x

y = 3/2x - 3

y = -x + 3

So:

3/2x - 3 = -x + 3

3/2x + x = 6

5/2 x = 6

x = 12/5.

y =  -12/5 + 3

= -12/5 + 15/5

= 3/5.

The sum of the coordinates = 12/5 + 3 /5

= 15/5

= 3.

3 0
3 years ago
Help please I don't remember ​
posledela

Answer: G would be at (1,0)

F (-1,3)

Y (-1,0)

3 0
3 years ago
PLZ HELP ME ILL MARK BRAINKEIST
GuDViN [60]

Answer:

I, personally, would assume A, or 80°

Step-by-step explanation:

4 0
2 years ago
A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during t
elixir [45]
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
4 0
3 years ago
Read 2 more answers
An investment offers a simple interest rate of 3% per year.
Step2247 [10]

Answer:

sh 23000

Step-by-step explanation:

i = \frac{prt}{100}  =  \frac{20000 \times 3 \times 5}{100}  = 3000

Amount = principal + interest = 20000+3000 = sh 23000

6 0
3 years ago
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