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denpristay [2]
2 years ago
10

What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

Mathematics
1 answer:
frez [133]2 years ago
7 0

Answer:

\sqrt{10}  \:  \: units

Step-by-step explanation:

\sqrt{(6 - 3)^{2 }  + (4 - 5)^{2} }

\sqrt{9 + 1}

\sqrt{10}

= 3.16 units

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Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply. x = –4 x = –3 x = -3/2 x = 2/3 x = 2 x = 4
Ivahew [28]
4x2 - 7x = 3x + 24
 First we rewrite the quadratic equation:
 4x2 - 7x - 3x - 24 = 0
 4x2 - 10x - 24 = 0
 The solutions to the quadratic equation in this case are:
 x1 = 4
 x2 = -1.5
 Answer:
 x = -3/2
 x = 4
9 0
3 years ago
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Identify a pattern in the given list of numbers.Then use this pattern to find the next number.
andriy [413]
4 x 5 = 20

20 x 5 = 100

I assume the next number in this sequence will be 500, as 100 x 5 = 500.
4 0
2 years ago
Consider the inequality-5(x+7)<-10 write an inequality representing the solution for x
GrogVix [38]

Answer:

<h2>x > -5</h2>

Step-by-step explanation:

-5(x + 7) < -10            <em>use the distributive property </em><em>a(b + c) = ab + ac</em>

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10         <em>add 35 to both sides</em>

-5x < 25         <em>change the signs</em>

5x > - 25       <em>divide both sides by 5</em>

x > -5

6 0
2 years ago
Convert 4.08 to a fraction.<br><br> Help me please.
Fofino [41]

Answer:

4/8

Step-by-step explanation:0.n is = to 10. 4 is the numerator. So it would be 4/8

6 0
2 years ago
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Solve x2+12x=-11 by completing the square . Which is the the solution set of the equation?
Dmitriy789 [7]

Answer:

{- 11, - 1 }

Step-by-step explanation:

Since the coefficient of the x² term is 1 , to complete the square

add (half the coefficient of the x-term )² to both sides

x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side

(x + 6)² = 25 ( take the square root of both sides

\sqrt{(x+6)^2} = ± \sqrt{25}

x + 6 = ± 5 ( subtract 6 from both sides )

x = - 6 ± 5

x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11




8 0
3 years ago
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