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3 years ago

A triangle has sides with lengths of 72 millimeters, 90 millimeters, and 54 millimeters. Is it a right triangle?

Mathematics

1 answer:

Travka [436]3 years ago

7 0

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

a^2+b^2=c^2

The longest side is the hypotenuse so c^2 would be 90.

72^2+54^2=90^2

72 and 54 can be either a or b.

Solve for all exponents: 5184+2916=8100.

That equation is true, so the triangle is a right triangle.

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Katena32 [7]

WIth the parameterization

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We also have

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$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=3\pi/2}\mathbf f(\mathbf r(t))\cdot\mathbf r'(t)\,\mathrm dt$

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3 years ago

What is the minimum point on a graph of f(x) = (x - 1)² - 3?

mariarad [96]

Answer:

(1, -3)

First option

Step-by-step explanation:

The minimum point on the graph is also the <u>vertex</u>.

The quadratic function equation is given in <u>vertex form</u>, which is $f(x) = a(x - h)^{2} + k$

Using this equation, the vertex is (-h, k).

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In f(x) = (x - 1)² - 3 using (-h, k) is:

h = -1 => -h = 1

k = -3

Therefore the vertex is (1, -3).

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