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Bogdan [553]
3 years ago
13

Given an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0
An equilateral triangle has 3 sides of equal length
find the length of 1 side and that is the length of te other 2 sides
so find the length and times 3

we need to find the distance betwen the points (-8,-5) and (3,7)

distance between the points (x1,y1) and (x2,y2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
so
distance between (-8,-5) and (3,7) is
D=\sqrt{(-8-3)^2+(-5-7)^2}
D=\sqrt{(-11)^2+(-12)^2}
D=\sqrt{121+144}
D=\sqrt{265}

the distance is √265
the perimiter is 3√265 units
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The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Mashcka [7]

Answer:

\frac{\sqrt{10}}{2}

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of \sqrt{5}, we have:

x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}

7 0
3 years ago
What is the missing equation N÷6=8
solong [7]
48.

N/6 = 8
48/6 = 8
8 = 8
8 does indeed equal 8

Good luck! 


3 0
3 years ago
Read 2 more answers
A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and
NARA [144]

Answer: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

7 0
3 years ago
Read 2 more answers
Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 
Vsevolod [243]
Prime factorization is when the numbers are divided until they cannot be divided anymore.

For example, the number 18.

18/2 = 9

9/3 = 3

So the prime factorization is 2,3,3

As it says use exponents: There are 2 threes. 3 x 3 is the same as 3²

3² x 2 should be your answer

hope this helps
5 0
3 years ago
Could anyone check my Algebra answer?
Mekhanik [1.2K]

Answer:

yes -156 is correct

Step-by-step explanation:

4 0
3 years ago
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