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forsale [732]
3 years ago
5

Find the distance between A(-1, -1) and B(4, -5). Round your answer to the nearest tenth.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

6.4 units (nearest tenth)

Step-by-step explanation:

Distance between 2 points

=  \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2}  }

Distance between A and B

=  \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2}  }

=  \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2}  }

=  \sqrt{ {4}^{2} + ( - 5) {}^{2}  }

=  \sqrt{41}

= 6.4 units (nearest tenth)

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Find the geometric mean between 8 and 18. Write answer as a simplified radical. No Decimals!!!!
Crank

Answer: Therefore, the geometric mean of 8 and 18 is 12. Therefore, the geometric mean of 8 and 18 is 12.

Step-by-step explanation:

4 0
3 years ago
|2x + 5| = 13 please show work
gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

      -5      -5

|2x| = 8

2x/2  8/2

|x| = 4

3 0
3 years ago
Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w
ArbitrLikvidat [17]

Answer:

(\frac{7}{2})^{2}

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

x^2+7x-11=0

His First Step is to: Take the Constant Term to the Right Hand Side

x^2+7x=11

The Next Step Would be to:

  • Divide the Coefficient of x by 2
  • Square It
  • Add it to both Sides

In this case, the Coefficient of x  = 7

  • Divided by 2 = \frac{7}{2}
  • Squaring It, we have: (\frac{7}{2})^{2}

It is this number (\frac{7}{2})^{2} that is added to both sides in the manner below:

x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}

6 0
4 years ago
The first term of an arithmetic sequence is 14. The 25th term is 206. What is the common difference of the arithmetic sequence?
larisa [96]

an = a1+ d(n-1)

a1 =14

an=206  when n=25

206 = 14 + d (25-1)

206 = 14 + d * 24

subtract 14 from each side

192 = 24d

divide by 24 on each side

d=8

The common difference is 8

3 0
3 years ago
Read 2 more answers
Find the volume of the cylinder height 10 in base radius 3 in
tino4ka555 [31]

Answer: 282.60in³

Step-by-step explanation:

When calculating the volume of a cylinder, the formula to use is:

= πr²h

where,

π = 3.14

r = radius = 3 in

h = height = 10 in

Volume = πr²h

= 3.14 × 3² × 10

= 282.60

Therefore, the volume of the cylinder is 282.60in³

3 0
3 years ago
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