2 years ago

What is the distance between the points (5, 1) and (-3, -5)?

1 answer:

6 0

Answer: 10

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10

You might be interested in

Which model shows two equal expressions when c= 4?

lapo4ka [179]

Answer:

the third answer

Step-by-step explanation:

c = 4

c + 1 = 1 + 1 + 1 + 1 + 1

4 + 1 = 1 + 1 + 1 + 1 + 1

5 = 5

3 0

3 years ago

Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

$\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75$

(b)

Compute the variance of X as follows:

$\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083$

(c)

Compute the value of P(X < 3.7) as follows:

$P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898$

Thus, the value of P(X < 3.7) is 0.4898.

5 0

3 years ago

Which planet is about 1 /10 of the distance Uranus is from the sun?

tino4ka555 [31]

There is no real planet that is 1/10 the distance Uranus is from the sun, however the planetoid (smaller planet), Vesta is 1/9 the distance Uranus is from the sun.

3 0

3 years ago

Read 2 more answers

The price of a sandwich is $2.50 more than the price of a smoothie, which is d dollars. What does the expression d +25 represent

kow [346]

Answer: D represents the price of a sandwich and a smoothie

4 0

3 years ago

brians kite is flying above a field at the end of 65 m string. if the angle of elevation to the kite is 70°. how high is the kit

Svetradugi [14.3K]

7 0

3 years ago