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3 years ago

14

Which expressions can be used to find the coordinates of the midpoint of PQ with endpoints P(3, –1) and Q(–7, –6)?

1 answer:

Tanzania [10]3 years ago

3 0

Step-by-step explanation:

it is the ans of midpoint PQ

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(sqrt(6))/(8+\sqrt(10))

valkas [14]

Answer:

$\frac{4\sqrt{6}-\sqrt{15}}{27}$

Step-by-step explanation:

$\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\$

$\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}$

5 0

2 years ago

groceries are us has turkey for $1.19 per pound. the turkey weighs 15 pounds how much does the turkey cost

RideAnS [48]

Each pound costs $1.19 .
So 15 pounds cost

(15) x ($1.19) = $17.85 .

6 0

2 years ago

HELPPP!!!!! Plzzzz!!

Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

$P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}$

$P_1=\dfrac{2}{6}$

$P_1=\dfrac{1}{3}$

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

$P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}$

$P_2=\dfrac{1}{5}$

The probability of drawing 2 even numbers is:

$P=P_1\times P_2$

$P=\dfrac{1}{3}\times \dfrac{1}{5}$

$P=\dfrac{1}{15}$

Therefore, the probability of drawing 2 even numbers is $\dfrac{1}{15}$ . Hence, the correct option is (b).

5 0

2 years ago

A pillowcase requires 1 1/3 yards of material. If Mrs. Huerta plans to sew six pillowcases, then how many yards of fabric does s

Neko [114]

8 yards bc you just multiply the unit cost of each pillow (1 1/3 yards) by 6 bc that’s the total amount of pillows she’s making

7 0

2 years ago

Read 2 more answers

Find the sum of first 20 to terms of an ap in which d is equal to 7 and 20 second term is 149

GuDViN [60]

Answer:

1370

Step-by-step explanation:

<h3>Given</h3>

AP with d= 7 and a₂₂ = 149

<h3>To find</h3>

Sum of first 20 terms

<h3>Solution</h3>

<u>First, let's get the value of the first term:</u>

aₙ = a + (n-1)d
a₂₂ = a + 21d
149 = a + 21*7
a = 149 - 147
a= 2

<u>Next, let's find the sum of the first 20 terms</u>

Sₙ = 1/2n(2a+ (n-1)d)
S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370

<u>Answer is</u> 1370

6 0

2 years ago

Read 2 more answers