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iris [78.8K]
3 years ago
12

What is the distance between (4,8), 6=y+ 2x

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

  2√5

Step-by-step explanation:

The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

  \text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}

The general form of your equation for the line is ...

  2x +y -6 = 0

so the distance to point (x, y) = (4, 8) is ...

  \text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}

The distance between the point and line is 2√5.

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The nth term of the sequence is n^2 + 20 <br> How many terms in the sequence are less than 50
Alex Ar [27]

Answer:

5 terms

Step-by-step explanation:

nth term of the sequence =n^2 + 20

an= n^2 + 20

1st term when n= 1

1^2 + 20= 20

2nd term n= 2

2^2 + 20=24

3rd term when n= 3

3^2 + 20= 29

4th term when n= 4

4^2 + 20= 36

5th term when n= 5

5^2 + 20 =45

6th term when n= 6

6^2 + 20=56

Hence, terms in the sequence are less than 50 are first 5 terms

6 0
3 years ago
If the measure of cae is 95° what is the measure of cba
xxTIMURxx [149]
<span>CAE=95 GAE=90 CAG=95-90=5 ACG=5 CGA=180-(5+5)=170 CBA=12—170=85</span>
3 0
3 years ago
Read 2 more answers
1/2 ln(x + 3) - lnx = 0 solve for x
rusak2 [61]
1

 

Simplify \frac{1}{2}\imath n(x+3)​2​​1​​ın(x+3) to \frac{\imath n(x+3)}{2}​2​​ın(x+3)​​

\frac{\imath n(x+3)}{2}-\imath nx=0​2​​ın(x+3)​​−ınx=0


2

 

Add \imath nxınx to both sides

\frac{\imath n(x+3)}{2}=\imath nx​2​​ın(x+3)​​=ınx


3

 

Multiply both sides by 22

\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2


4

 

Regroup terms

\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı


5

 

Cancel \imathı on both sides

n(x+3)=nx\times 2n(x+3)=nx×2


6

 

Divide both sides by nn

x+3=\frac{nx\times 2}{n}x+3=​n​​nx×2​​


7

 

Subtract 33 from both sides

x=\frac{nx\times 2}{n}-3x=​n​​nx×2​​−3


6 0
3 years ago
How many different triangles can be drawn with the angle measures 90 45 and 45
Yuri [45]
Infinitely many, but they will all be proportional to each other
7 0
2 years ago
Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE
algol13

Answer:

$1.20 per candy bar

Step-by-step explanation:

7.2 ÷ 6 = 1.2

4 0
2 years ago
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