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vovangra [49]
3 years ago
9

Find the distance between the two points (-4, -5) and (1, -2).

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (1, - 2)

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

  = \sqrt{5^2+3^2}

  = \sqrt{25+9}

  = \sqrt{34} → B

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lana66690 [7]

8(x + 5) = 56

first step id to distribute the 8 through the parenthesis

8x + 40 = 56

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3 years ago
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What is the slope of y=7-3x
Anna [14]
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3 years ago
Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed
zalisa [80]

Answer:

Tonya proof is correct
and Pearl proof is wrong

Step-by-step explanation:

AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.

But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.

The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation

8 0
2 years ago
8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an
ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

  • We are given with a word problem
  • We are asked to find the number of unicorns played during the season
  • We can do this in two steps

         Step 1: Finding the win percentage

         Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$

5 0
2 years ago
2.1 = -0.6m<br><br>What is the solution to m?​
Anon25 [30]

Answer:

m=-3.5

Good Luck!!!

8 0
3 years ago
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