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3 years ago

Find the distance between point A and B. Round your answer to the nearest tenth when necessary

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Answer:

8.9

Step-by-step explanation:

(- 3, 8) and (5,4)

Sqrt[(5 - - 3)^2 + (4-8)^2]

Sqrt [(8)^2 + (- 4)^2]

Sqrt 80

= 8.9

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19. What is the value of the expression below?<br> 9 + (7 x 4) - 13

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Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

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$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

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4 years ago

Question 5

S_A_V [24]

Step-by-step explanation:

a^2 + b^2 = c^2

a = 6

b = x

c = 11

6^2 + b^2 = 11^2

36 + b^2 = 121

b^2 = 121 - 36

b^2 = 85

Find the square root of both sides.

b = 9.22

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3 years ago