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emmasim [6.3K]
3 years ago
15

I just want to check my answer, what is the slope of (-19, -6), (15,16)?

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0
slope=\frac{y_2-y_1}{x_2-x_1}\\\\ 
(x_1,y_1)=(-19,-6)\\ 
(x_2,y_2)=(15,16)\\\\
 slope=\frac{16+6}{15+19}=\frac{22}{34}=\frac{11}{17}\\\\
Slope\ is\ equal\ to\ \frac{11}{17}.

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Help me please it’s due
Temka [501]

Answer:

13.82 in.

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter by pi (\pi):

(4.4)(\pi )=13.82301

Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.

I hope this helps!

8 0
2 years ago
Find the 4th term (x-y)^12
maria [59]

Answer:

The fourth term of the expansion is -220 * x^9 * y^3

Step-by-step explanation:

Question:

Find the fourth term in (x-y)^12

Solution:

Notation: "n choose k", or combination of k objects from n objects,

C(n,k) = n! / ( k! (n-k)! )

For example, C(12,4) = 12! / (4! 8!) = 495

Using the binomial expansion formula

(a+b)^n

= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n

For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is

C(n,3)a^(n-3)b^3

=C(12,3) * x^(12-3) * (-y)^(3)

= 220*x^9*(-y)^3

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3 0
3 years ago
About 70,000 people live in a 6-mile radius of a city's town hall. Find the population density in people per square mile. Round
nika2105 [10]

Answer:

The population density is 618.93 per square mile.

Step-by-step explanation:

It is given that,

No. of people, N = 70,000

The radius of a city's town hall, r = 6 miles

We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,

P=\dfrac{N}{A}\\\\P=\dfrac{N}{\pi r^2}\\\\P=\dfrac{70000}{\pi (6)^2}\\\\P=618.93\ \text{per square mile}

So, the population density is 618.93 per square mile.

7 0
3 years ago
Venus is approximately 6.7 x 10^7 miles from the Sun. If the speed of light is approximately 1.86 x 10^5miles per second, about
Aleonysh [2.5K]

Answer:

6 minutes

Step-by-step explanation:

108200,000/300,000 = 360.6 seconds or 6.0 minutes.

Mark as brainllest

(For earth it is 8.3 minutes)

3 0
3 years ago
Read 2 more answers
–(5 + (–11.3)) + (–4.3)
yuradex [85]
Well u have to do whats in the parenthesis first so -(5+(-11.3 equals -16.3 then u add (-4.3) so -16.3+ (-4.3) = -20.6
6 0
2 years ago
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