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Firdavs [7]
1 year ago
15

Distance between

Mathematics
1 answer:
Oxana [17]1 year ago
8 0

Answer:

Step-by-step explanation:

distance PQ=√[(0-0)²+(2+11)²]=√13²=13

distance AB=√[(-3-0)²+(-4-0)²]=√(9+16)=√25=√5

distance CD=√[(0-8)²+(-6-0)²]=√(64+36)=√100=10

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Simplify fully please
neonofarm [45]

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand both factors using FOIL

= x^{4} + 6x² + 9 - (x^{4} - 2x² + 1) ← distribute by - 1

= x^{4} + 6x² + 9 - x^{4} + 2x² - 1 ← collect like terms

= 8x² + 8

8 0
3 years ago
Read 2 more answers
I have a bottle of 3 l and a bottle of 5 l. How can I lose 7 l?
stiv31 [10]

Answer:

fill the 5l bottle up completely

pour the contents of the 5l bottle into the 3l until completely full

this should leave you with 2 litres in the 5 l bottle

empty out the water in the 3 litre bottle and then pour in the 2 litres

fill the 5 litre up completely and you have 7 litres

Step-by-step explanation:

3 0
2 years ago
Consider the following information related to a set of quantitative sample data:
svlad2 [7]

Answer:

(a) There are outliers

(b) x and x >62

Step-by-step explanation:

Given

\sigma = 14.92

\bar x = 22.0

q_0 = -24

q_1 = 14.5

q_2 = 24.5

q_3 = 33.5

q_4 = 64

Solving (a): Check for outliers

This is calculated using:

Lower = Q_1 - (1.5 * IQR) --- lower bound of outlier

Upper = Q_3 +(1.5 * IQR) --- upper bound of outlier

Where

IQR = Q_3 - Q_1

So, we have:

IQR = 33.5 - 14.5

IQR = 19

The lower bound of outlier becomes

Lower = Q_1 - (1.5 * IQR)

Lower = 14.5 - (1.5 * 19)

Lower = 14.5 - 28.5

Lower = -14

The upper bound of outlier becomes

Upper = Q_3 +(1.5 * IQR)

Upper = 33.5 + 1.5 * 19

Upper = 33.5 + 28.5

Upper = 62

So, we have:

-14 \le x \le 62 --- the range without outlier

Given that:

q_0 = -24  --- This represents the lowest data

q_4 = 64   --- This represents the highest data

-24 and 64 are out of range of -14 \le x \le 62.

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

x and x >62

4 0
2 years ago
Determine whether the statement is true or false. If it is true, explain why.
Over [174]
True.

Since y^4 \geq 0, y' = -1 - y^4 \ \textless \  0 and the solutions are decreasing functions.
8 0
3 years ago
The are 66 small wooden animals to sell at the craft fair . He displays in rows of 7 animals in a row. How many will not be in a
lord [1]

Answer:

9

Step-by-step explanation:

There would be 9 because 7 goes into 66 9 times

4 0
3 years ago
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