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Andrews [41]
2 years ago
9

The distance AB= [?] Round to the nearest tenth.

Mathematics
1 answer:
Law Incorporation [45]2 years ago
7 0

Answer:

  • 3.6
<h3><u>Step-by-step explanation:</u></h3>

A = ( -2, 1 )

B = ( 1, -1 )

\boxed{\bf x_1  : - 2} \boxed{\bf x_2 : 1}

\boxed{\bf y_1 : 1} \boxed{\bf y_2 : - 1}

______________________________

  • \sf d =  \sqrt{(x_2 -x_1) ^{2} + ( y_2 - y_1) ^{2} }
  • \sf d =  \sqrt{(1 -  ( - 2)) ^{2} + ( - 1 - 1) ^{2}  }
  • \sf d =  \sqrt{ {3}^{2} +  {( - 2)}^{2}  }
  • \sf d =  \sqrt{(9 + 4)}
  • \sf d =  \sqrt{13}
  • \sf d = 3.6

<u>________________</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u>

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Which equation has infinite solutions?
AnnyKZ [126]

The equation that has an infinite number of solutions is 2x + 3 = \frac{1}{2}(4x + 2) + 2

<h3>How to determine the equation?</h3>

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

2x + 3 = \frac{1}{2}(4x + 2) + 2

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is 2x + 3 = \frac{1}{2}(4x + 2) + 2

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<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

2x + 3 = \frac{1}{2}(4x + 2) + 2

\frac 13(6x - 3) = 3(x + 1) - x - 2

5 0
2 years ago
Select the graph of y=cot x.
Kisachek [45]

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

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2 years ago
How do you simplify -(5x+1)
Roman55 [17]
-1(5x+1)
-5x-1
the (-) in front is just a short way to put (-1)
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A dress is on sale for 15% discount, meaning 85% of the price remains. If the sale price of the dress is $51, then the original
ira [324]

Answer:

Step-by-step explanation:

let the original price=x

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