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2 years ago

What are the coordinates of the midpoint of the segment joining points A(6, -3, 7) and B(-4, -5, 3)?

1 answer:

5 0

Add both x and divide by 2, add both y and divide by 2, add both z and divide by 2

6 - 4 = 2/2 = 1

x = 1

-3 - 5 = -8 / 2 = -4

y = -4

7 + 3 = 10 /2 = 5

z = 5

(1, -4, 5)

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Select True or False for each statement.

SSSSS [86.1K]

$\left( \dfrac 1 {64} \right)^{- 5/6} =64^{5/6} = (\sqrt[6]{64})^5 = 2^5 =32$

TRUE

$\sqrt[5]{36^4}=36^{4/5}$

which surely isn't 36. FALSE

$\sqrt{12} - \dfrac 2 5 \sqrt{75} = 2 \sqrt{3} -\dfrac 2 5 (5) \sqrt{3} = 0$

FALSE

For the fourth one we have a

$\sqrt{98b} + \sqrt{2b}$

which isnt

$10\sqrt{b}$

so this is FALSE.

$\dfrac{1}{(\sqrt 5 - \sqrt 6)^2}$

$= \dfrac{1}{(\sqrt 5 - \sqrt 6)^2} \cdot \dfrac{(\sqrt 5 + \sqrt 6)^2}{(\sqrt 5 + \sqrt 6)^2}$

$= \dfrac{(\sqrt 5 + \sqrt 6)^2}{ ( (\sqrt 5 - \sqrt 6)(\sqrt 5 + \sqrt 6))^2}$

$= \dfrac{(\sqrt 5 + \sqrt 6)^2}{( 5-6)^2}$

$=(\sqrt 5 + \sqrt 6)^2$

No fractions in that one so FALSE.

3 0

2 years ago

Devon bought running shocs at a price that was 1/4 off the original price of $88. He paid a sales tax of 7% on

larisa86 [58]

The correct answer is C. $ 9.38

Explanation:

The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:

1. Write the amounts given

$\frac{1}{4}$ of $88$

2. Divide the number by the denominator (bottom number) and then multiply by the numerator

$88$ ÷ $4 = 22$

$22 x 1 = 22$

This means the discount was $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)

1. Write the values

66 = 100 (66 represents the total or 100%)

x = 7 (7% is the value you want to know and the x represents the value is not known)

2. Cross multiply

x 100 = 462

3. Find x

x = 462 ÷ 100

x = 4. 62 ( value of taxes)

Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38

4 0

3 years ago

Which expression represents the series

kompoz [17]

That would be the first choice:

5^0 = 1 , 5^1 = 5, 5^2 = 25 and so on up to 5^4 = 625

6 0

2 years ago

Read 2 more answers

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

guapka [62]

Answer: Segment BF = 16

Step-by-step explanation: