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Ann [662]
4 years ago
5

Find the distance between these two points (-6, -5) and (2, 0)

Mathematics
1 answer:
Charra [1.4K]4 years ago
3 0

Answer:

\sqrt{89}

Step-by-step explanation:

Use Distance Formula

\sqrt{(x_{2}-x_{1}  )^{2}  + (y_{2}-y_{1}  )^{2}  }

Substitute

\sqrt{(-5-0)^{2}+(2+6)^{2} }

Simplify

\sqrt{(-5)^{2}+(8)^{2}  }

Simplify

\sqrt{25+64}

Add

\sqrt{89}

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What is 149.6 billion in scientific notation?
Alla [95]
1.496E+11 (1.496 x 1011<span>)</span>
7 0
4 years ago
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
sergij07 [2.7K]

Answer: \$18,629

Step-by-step explanation:

Given

The unit cost is given by

C(x)=0.6x^2-168x+30,389

find the derivative of the unit cost and equate it to zero to obtain the minimum value

C'(x)=0.6\times 2x-168\\\Rightarrow 0.6\times 2x-168=0\\\Rightarrow 1.2x=168\\\\\Rightarrow x=\dfrac{168}{1.2}\\\\\Rightarrow x=140

Substitute 140 for x in the cost function, we get

C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629

7 0
3 years ago
If the volume of a cube is 27 what is the shortest distance from the center of the cube to the base of the cube
Sav [38]

Answer:

<h2>C)1.5</h2>

Step-by-step explanation:

Since a cube is a three dimensional solid with square faces, the distance from center of the cube to the base of the cube is the same as half any one of its sides (all sides in a cube having the same length).

If we consider the length of the side to be a, then formula for volume of a cube is:

V=a³

27=a³

Find the cube root on both sides.

3×3×3=a×a×a

3=a

Since the length of the side is 4, the distance from the center of the cube to the base of the cube is

3/2=1.5

5 0
4 years ago
A plumber received calls from 2 customers. There are 6 open slots on today's schedule. How many ways can the plumber schedule th
ivolga24 [154]

Answer:

3

Step-by-step explanation:

because 6/2=3

8 0
3 years ago
What is the answer to 6/8 ×2 =
Artist 52 [7]
<h2>1.5</h2>

Step-by-step explanation:

= 6 / 8 × 2

= 0.75 × 2

= 1.5

plz follow me

7 0
3 years ago
Read 2 more answers
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