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3 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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Please help me with this...

AURORKA [14]

Answer:

- 84 + 10i

Step-by-step explanation:

A complex number in standard form is a ± bi

a is the real part and bi the imaginary part

and $\sqrt{-1}$ = i

Given

$\sqrt{-100}$ - 84

= $\sqrt{100(-1)}$ - 84

= $\sqrt{100}$ × $\sqrt{-1}$ - 84

= 10i - 84

= - 84 + 10i ← in standard form

3 0

3 years ago

ESSENTIAL QUESTION CHECK-ININHow can you use a number line to find the sum of -4 and 6

olga2289 [7]

Yes the sum of -4 and 6 is 2

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3 years ago

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galina1969 [7]

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3 years ago

Audrey is driving to a concert and needs to pay for parking. There is an automatic fee of $6 just to enter the parking lot, and

Alborosie

Answer:

a. $16

b. $26

Step-by-step explanation:

a. 6+2(5)= 16

b. im assuming tt means ten 6+2(10)=26

5 0

2 years ago

What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

3 years ago

Read 2 more answers