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3 years ago

Calculate the distance between the points K = (1, -1) and P=(9.-6) in the coordinate plane.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

Answer:

√89

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 1)² + [-6 - (-1)]²

√(8)² + (-5)²

√64 + 25

√89

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Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?

seropon [69]

Answer:

The slope remains a constant $m=\frac{5}{3}$ as it is parallel.

Explanation:

1. Line Q is defined as a slope of $\frac{5}{3}$ ; i.e. $y=\frac{5}{3}$

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

5 0

3 years ago

A card game has 50 cards. After dealing 7 cards to each player, tupi has 15 cards left over. solve the equation

KIM [24]

50 - 15 = 35

35 ÷ 7 = 5

So there were 5 players and your equation would be:-

50 - 15 ÷ x = 5

x = 7

Hope i helped:P

5 0

3 years ago

What is the reciprocal of 2/7

sineoko [7]

Answer:

the reciprocal of 2/7 is 7/2. you just switch the numbers

4 0

3 years ago

What is 6x to the third power?

murzikaleks [220]

Answer:

216x

Step-by-step explanation:

Write it out: $6x^{3}$
$6^{3} = 216$
Add in x: 216x

I hope this helps!

8 0

3 years ago

Read 2 more answers

A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the

forsale [732]

Answer:

option (c) n = 201

Step-by-step explanation:

Data provided in the question:

Standard deviation, s = 5.5 ounce

Confidence level = 99%

Length of confidence interval = 2 ounces

Therefore,

margin of error, E = (Length of confidence interval ) ÷ 2

= 2 ÷ 2

= 1 ounce

Now,

E = $\frac{zs}{\sqrt n}$

here,

z = 2.58 for 99% confidence interval

n = sample size

thus,

1 = $\frac{2.58\times5.5}{\sqrt n}$

n = (2.58 × 5.5)²

n = 201.3561 ≈ 201

Hence,

option (c) n = 201

5 0

3 years ago