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NISA [10]
4 years ago
7

Find the distance BF for the points B(1,-1) and F(-3,5)

Mathematics
1 answer:
Nadusha1986 [10]4 years ago
6 0
Use the distance formula: 
<span>\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
<span>
Plug in the given coordinates: 
</span><span>\sqrt{(-3-1)^2 + (5-(-1))^2}
<span>
Simplify: 
</span>\sqrt{(-3-1)^2 + (5+1))^2}

\sqrt{-4^2+ 6^2}

\sqrt{16+36}

\sqrt{52}
You can leave it as: \sqrt{52}or in decimal form as: 7.2
</span></span>
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In a recent game, Syler played 4 minutes of each period. The four periods
Rus_ich [418]

Answer: 25%

Step-by-step explanation:

6 0
3 years ago
The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment
iVinArrow [24]

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75    Eqn 1

And

one the segments are four times the other

x=4y        Eqn 2

Putting\ x=4y\ in\ equation\ 1

4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

  • brainly.com/question/3783529
  • brainly.com/question/3799248

#LearnwithBrainly

8 0
3 years ago
a band of 45 ewoks crash-landed in the forest last night. this sounds like a small problem, but the population will grow at the
kogti [31]

Given Information:

Starting population = P₀ = 45

rate of growth = 22%

Required Information:

Population every five years from this year to the year 2050 = ?

Answer:

Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\

Step-by-step explanation:

The population growth can be modeled as an exponential function,

P(t) = P_0e^{rt}

Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.

We are given that starting population of 45 and growth rate of 22%

P(t) = 45e^{0.22t}

Assuming that the starting year is 2020,

Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\

Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.

8 0
3 years ago
PLEASE HELP!!!! PRQ = ?
zhannawk [14.2K]
PRQ=VXW

I think! I hope this helps!
7 0
3 years ago
List the next three numbers for the sequence: 25, 75, 300, 1500, ...
ELEN [110]

Answer: 2000

Step-by-step explanation:

4 0
3 years ago
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