#2 & #3 with answer and explanation please??????

Mathematics

1 answer:

pishuonlain [190]3 years ago

5 0

2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:

KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)

3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:

AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)

AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)

;

You might be interested in

Management of a particular golf course wants to know what the average score is for their course. It is known that from previous

babunello [35]

Answer: c. $70\pm (1.96)\dfrac{4.5}{\sqrt{50}}$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where n= sample size

$\overline{x}$ = sample mean.

z*= Critical value.

$\sigma$ = population standard deviation.

As per given , we have

n= 50

$\sigma=4.5$

$\overline{x}=70$

Also, we know that the critical value for 95% confidence interval : z*= 1.96

Then, the 95% confidence interval (CI) to estimate the true average score of golfers on this particular course will be :

$70\pm (1.96)\dfrac{4.5}{\sqrt{50}}$ (substitute all the value in the above formula.)

Hence, the correct option is c. $70\pm (1.96)\dfrac{4.5}{\sqrt{50}}$

6 0

3 years ago

Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three ti

velikii [3]

X = number of dimes
x + 2 = number of nickels
3(x + 2) = number of pennies

10x + 5(x + 2) + 3(x + 2) = 52
10x + 5x + 10 + 3x + 6 = 52
18x = 36
x = 2

x = 2 (number of dimes)
x + 2 = 4 (number of nickels)
3(x + 2) = 12 (number of pennies)

Check:
2(10) = 20 cents in dimes
4(5) = 20 cents in nickels
12(1) = 12 cents in pennies
Total = 52 cents

7 0

3 years ago

Read 2 more answers

If a student applied force 36N on a bench and it displaced by 4 m how much work did that student do

MAVERICK [17]

<h3>Answer: 144 Joules </h3>

Steps Shown:

Work = Force * Displacement

Work = (36 Newtons)*(4 meters)

Work = (36*4) Newton meters

Work = 144 Newton meters

Work = 144 Joules