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Lelechka [254]
3 years ago
10

Find distance formula between (-9, 1) & (-5, -2)

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0
The "distance formula" is a result of the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths.

The distance formula then becomes:

d^2=((x2-x1)^2+(y2-y1)^2

In this case:

d^2=(-5--9)^2+(-2-1)^2

d^2=4^2+(-3)^2

d^2=16+9

d^2=25

d=√25

d=5 units
You might be interested in
-2/3 x -9/8 x -4/5 x -1
Lerok [7]

Answer: 0.6

Step-by-step explanation: First, you want so seperate the equations in parenthesis to make solving the equation easier.

(-2/3x-9/8x )-(4/5x)-(1)

So (-2/3x-9/8x) equals -11/24x

And  -11/24x-4/5x equals -151/120x

So -151/120x-1 ends up being 0.6.

5 0
3 years ago
Fill in the table using this function rule:
patriot [66]
When x is -4: 
y=-3(-4)+4 
y=16 
-2: 
y=-3(-2)+4 
y=-2 
0: 
y=-3(0)+4 
y=4
2: 
y=-3x2+4 
-2 

Hope that helps 
3 0
3 years ago
Read 2 more answers
Filipe was playing with a triangle on a coordinate plane. The triangle's area is 24 square units. The largest circle he can fit
pickupchik [31]

Answer:

52.36%

Step-by-step explanation:

First, you need to find the radius of the circle. You can do this by using the Pythagorean theorem, which states a^2+b^2=c^2. In this case, a and b are equal to 1.2 and 1.6, and c is the radius of the circle. Plugging in we get 1.2^2+1.6^2=c^2 or 1.44+2.56=c^2 or 4=c^2. Finding the square root of both sides of the equation, we find that 2=c. Now that we have the radius, we can find the area of the circle. The area of a circle is expressed as πr^2, and plugging in 2 for r we get an area of 4π, or ~12.56637. Now all we do is divide 12,56637 by 24 and get what percentage of the area of the triangle the circle covers, which is roughly 0.5236, or 52.36%

4 0
3 years ago
How many solutions does this equation have?<br><br> 8n = 10 + 10n
Andre45 [30]

Answer:

1

Step-by-step explanation:

-10n+8n=10

-2n=10

n=-5

So, one solution

5 0
3 years ago
Help please !!!!!!!!!!!!!!!!!!
Hunter-Best [27]

Answer:

n = 59

Step-by-step explanation:

There's definitely a better way, i just did math randomly but here goes:

First i squared both sides. which gets you:

(\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1

Cleaning this up gives you:

2n-5 -2\sqrt{(n+5)(n-10)}=1

Now move everything to the other side so we can square this equation again

-2\sqrt{(n+5)(n-10)}=-2n+6

Divide both sides by -2

\sqrt{(n+5)(n-10)}=n-3

square again

(n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9

subtract n^2 from both sides, add 6n, and add 50

-5n-50=-6n+9\\n-50 = 9\\n=59

Put this back into the equation and you get a correct answer!

sqrt(59 + 5) = sqrt(64) = 8

sqrt(59-10) = sqrt(49) = 7

8 - 7 = 1

5 0
3 years ago
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