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3 years ago

Is 48,55,73 a Pythagorean triple

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

Yes, is a Pythagorean triple

Step-by-step explanation:

To know if you can build a right triangle with those sides we have to make the following equality

h² = l1² + l2²

The hypotenuse is always the longest side so it should be 73

we check the equality of the equation

73² = 48² + 55²

5329 = 2304 + 3024

5329 = 5329

Equality was fulfilled so it is a right triangle

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alukav5142 [94]

Answer: 1

Step-by-step explanation:

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3 years ago

Read 2 more answers

Evaluate 3x² - 1 when x = 2.<br> A. 11<br> B. 35<br> C. 3<br> D. 5

Alexus [3.1K]

Answer:

Step-by-step explanation:

All you need to do is substitute!

(3x2)^2-1

6^2-1

36-1

= 35

Hope this helps!!

4 0

3 years ago

Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and foci (0, -5) and (0, 5).

andre [41]

Check the picture below. So, more or less looks like so.

notice, the center is clearly at the origin, and notice how long the "a" component is, also, bear in mind that, is opening towards the y-axis, that means the fraction with the "y" variable is the positive one.

Also notice, the "c" distance from the center to either foci, is just 5 units.

$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
\end{cases}\implies \cfrac{(y-{{ 0}})^2}{{{ 4}}^2}-\cfrac{(x-{{ 0}})^2}{{{ b}}^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{b^2}=1
\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
\cfrac{y^2}{16}-\cfrac{x^2}{3^2}=1\implies \boxed{\cfrac{y^2}{16}-\cfrac{x^2}{9}=1}$

7 0

4 years ago

the greater of two numbers is 1 more than twice smaller. three times greater exceeds 5 times the smaller by 10. find the three n

krek1111 [17]

<h3><u>The value of the greater number is 15.</u></h3><h3><u>The value of the smaller number is 7.</u></h3>

x = 2y + 1

3x = 5y + 10

Because we have a value for x we can plug this value in to find the value of y.

3(2y + 1) = 5y + 10

Distributive property.

6y + 3 = 5y + 10

Subtract 5y from both sides.

y + 3 = 10

Subtract 3 from both sides.

y = 7

We can plug this value back into the original equation to find the value of x.

x = 2(7) + 1

x = 15

7 0

4 years ago

To the nearest tenth, what is the circumference of a circular pond with a radius of 14 meters? Use 3.14 for π.

Semmy [17]

Since the formula for circumference is
2 pi r, you can multiply 28 by pi to get 87.92

Answer: 87.92

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3 years ago