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-BARSIC- [3]
3 years ago
5

Line l has equation y=-x-2. Find the distance between l and the point H(1,4).

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

the answer is 7/√2

Step-by-step explanation:

See the picture please        

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In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe
andre [41]

SOLUTIONS

Given: Assume y is the population

\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}

The town grow at the rate of 30 people per year.

y=kt+14000y=30t+14000

(A) The population predicted to be in 2030 will be

\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}

(B) so when y = 15000, find t

\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}

3 0
1 year ago
A bunch of ballons contains many different colors. red 17 purple 11 orange 3 green 1 yellow 2 What is the probability that a ran
4vir4ik [10]

Answer: 1/2

Step-by-step explanation:

Number of red balloons = 17

Number of purple balloons = 11

Number of orange balloons = 3

Number of green balloons = 1

Number of yellow balloons = 2

Total number of balloons = 34

The probability that a randomly selected balloon will be red will be:

= Number of red balloons/Total number of balloons

= 17/34

= 1/2

5 0
3 years ago
Help me out, please.
Assoli18 [71]
Y+4=2/3(x+3)

(-3,-4)(3,0)
1.find the slope
m=y2-y1/x2-x1
m=0-(-4)/3-(-3)
m=4/6
m=2/3

y-(-4)=2/3(x-(-3))
y+4=2/3(x+3) point-slope form

4 0
3 years ago
(12/21)... what is this fraction simplified
Westkost [7]
\frac{12}{21} \\ \\ GCF = 3 \\ \\ 12 \div 3 = 4 \\ \\ 21 \div 3 = 7 \\ \\  \frac{4}{7} \\ \\ Answer: \fbox {4/7}
6 0
3 years ago
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What 5+10<br> 15<br> 12<br> 19<br> 5
Yuliya22 [10]

Answer:

15

just add 10 plus 5

7 0
3 years ago
Read 2 more answers
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