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3 years ago

Find the distance between (2,3) and (5,8)

1 answer:

6 0

Use pythagorean theorem
a^2+b^2=c^2

first find the difference of between the 2 points to find the legnth of the legs

distance between 2 and 5=3
distance between 3 and 8=5 so

3^2+5^2=c^2
9+25=c^2
34=c^2
√34=c

the ligit formula is
$c= \sqrt{(x1-x2)^2+(y1-y2)^2}$

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What is the volume of the following cylinder in cubic feet?

Salsk061 [2.6K]

5089.38 is the volume

5 0

3 years ago

Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z

Evgesh-ka [11]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{-36x^4y^4z^5}{-12x^6y^3z}\quad 
\begin{cases}
36=2\cdot 2\cdot 3\cdot 3\\
12=2\cdot 2\cdot 3
\end{cases}\implies \cfrac{-36}{-12}\cdot \cfrac{x^4y^4z^5}{x^6y^3z^1}
\\\\\\
\cfrac{\underline{-2\cdot 2\cdot 3}\cdot 3}{\underline{-2\cdot 2\cdot 3}}\cdot \cfrac{x^4y^4z^5x^{-6}y^{-3}z^{-1}}{1}\implies \cfrac{3}{1}\cdot 
\cfrac{x^4x^{-6}y^4y^{-3}z^5z^{-1}}{1}$

$\bf \cfrac{3}{1}\cdot \cfrac{x^{4-6}y^{4-3}z^{5-1}}{1}\implies 
\cfrac{3}{1}\cdot\cfrac{x^{-2}y^{1}z^4}{1}\implies 
\cfrac{3x^{-2}yz^4}{1}\implies \cfrac{3yz^4}{x^2}$

6 0

3 years ago

A circular rug has a diameter of 2 feet. How much space does the rug take up on the floor?

____ [38]

Answer:

pi^2

Step-by-step explanation:

If the diameter of a circular rug is 2 feet, we can determine that the rug's radius is 1 foot. We can apply the formula to find the area of a circle

(pi*radius)^2 which would give us and answer of pi^2

8 0

2 years ago

3. Bob Baffert hos iwo thoroughbred horses in his bom that he brings out

natima [27]

Answer:

12.5r + 200 = 12.5*2r

Step-by-step explanation:

<h3>Given</h3>

Rate of Hoppertunity = r

Rate of Dortmund = 2r as it is twice as fast

<h3>Solution</h3>

Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m

Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:

d = 12.5r for Hoppertunity
d + 200 =12.5*2r for Dortmund

<u>By replacing d in the second equation, we get:</u>

12.5r + 200 = 12.5*2r

<u>Soving</u>:

12.5r = 200
r = 200/12.5
r = 16 m/sec

Hoppertunity's rate is 16 m/sec

Dortmund's rate is 32 m/sec

3 0

3 years ago

Need help asap with A & B

qaws [65]

The answer to letter A is 9/25. I'm not sure what letter B is, sorry. :/

7 0

4 years ago