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nikitadnepr [17]
3 years ago
6

Need Help! Find the distance between the pair of points: (2,0) and (6,-3)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

The distance between the pair of points is 5 units.

Step-by-step explanation:

The first thing we must know in order to solve this problem is the distance formula.

Distance(d)=\sqrt{(x_{2}-x_{1}  )^2+(y_{2}-y_{1})^2}

We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.

d=\sqrt{(6-2)^2+(-3-0)^2}

d=\sqrt{(4)^2+(-3)^2}

d=\sqrt{16+9}

d=\sqrt{25}

d=5

So, the distance between the two given points is 5 units.

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The area, a, of a square whose side length is n
svetlana [45]

Answer:

a*n=area

Step-by-step explanation:

3 0
3 years ago
A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
Lelu [443]

Answer:

95% Confidence interval: (0.375,0.377)

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 0.376 cc/cubic meter

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 0.0012

Degree of freedom =

=n-1\\=15-1\\=14

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 14 and}~\alpha_{0.05} = \pm 2.145  

0.376 \pm 2.145(\dfrac{0.0012}{\sqrt{15}} )\\\\ = 0.376 \pm 0.0006\\\\ = (0.3754,0.3766)\approx (0.375,0.377)  

(0.375,0.377) is the required 95% confidence interval for the population mean potassium chloride concentration.

5 0
3 years ago
Vern has just opened a flower shop. Because of the startup costs, for the next month his net earnings for each bouquet are −$2.5
Basile [38]

Answer:

-$200

Step-by-step explanation:

Given that:

Net earning per bouquet for the month= - $2.50

On a particular day of the month, 20 bouquet was sold ;

Net earning for the day:

Net earning per bouquet * number of bouquet

-$2.50 * 80

= $200

Hence, net earning for Tuesday = - $200

6 0
3 years ago
8.1 = 0.9a, how do you solve?
GrogVix [38]

Answer:

a = 9

Step-by-step explanation:

Simplifying

8.1 = 0.9a

Solving

8.1 = 0.9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.9a' to each side of the equation.

8.1 + -0.9a = 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0

8.1 + -0.9a = 0.0

Add '-8.1' to each side of the equation.

8.1 + -8.1 + -0.9a = 0.0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0

0.0 + -0.9a = 0.0 + -8.1

-0.9a = 0.0 + -8.1

Combine like terms: 0.0 + -8.1 = -8.1

-0.9a = -8.1

Divide each side by '-0.9'.

a = 9

Simplifying

a = 9

5 0
3 years ago
The graph above shows the distance Mr. Johnson drives over time.
loris [4]
After 1 hour he has driven 40 miles
6 0
3 years ago
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