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2 years ago

1 and 5/6 + 2 and 2/11

1 answer:

3 0

$1 \frac{5}{6} +2 \frac{2}{11} =\frac{(1\times6)+5}{6} +\frac{(2\times 11)+2}{11} =\frac{11}{6}+\frac{24}{11} \\\\=\frac{11\times 11}{6\times 11} +\frac{24\times6}{11\times6} =\frac{121}{66} +\frac{144}{66}=\frac{121+144}{66} =\frac{265}{66}\\\\=\boxed{\bf{4\frac{1}{66}}}$

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What is the exact distance from (-5,1) to (3,0).

Ilya [14]

Answer:

The distance between the two points is $\sqrt{65} \ \text{units}.$

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

$\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

$\bullet \ \ \ (x_1, y_1), (x_2, y_2)$

This assigns a name to our points:

$x_1 = -5$
$y_1 = 1$
$x_2 = 3$
$y_2 = 0$

Therefore, we can plug these into the formula and solve:

$d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}$

Therefore, the distance between the two points is $\sqrt{65} \ \text{units}$ .

5 0

2 years ago

Help no time<br> pls<br><br><br> ————

liberstina [14]

Answer:

A. {3,4}

Step-by-step explanation:

In order to find the x values which would make the entire function undefined, you would have to factor the bottom equation. Factoring x^2+7x+12 gives you (x+3)(x+4). If you set each of these equal to 0, you end up with the x values being 3 and 4.

8 0

2 years ago

Read 2 more answers

Given that is directly proportional to (p-1)2 and p is always positive, find the

Arturiano [62]

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

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2 years ago

The numerator of a fraction is 6. Which of the following could be the denominator of the fraction so that it is already in lowes

bogdanovich [222]

Answer:

19, because it wouldn't be close to becoming a whole.

Step-by-step explanation:

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2 years ago

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alexandr402 [8]

1/8 bc 2/6=1/3 and 1/8 is less than 1/3

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2 years ago