3 years ago

a triangle has two sides of length 5 and 4 what is the smallest possible whole-number length for the third side

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer:

Step-by-step explanation:

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Gre4nikov [31]

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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2 years ago

What's 2/3 divided by 5

gtnhenbr [62]

Answer:2/15

Step-by-step explanation:

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What is the solution to f (x)=g (x), if f (x)=-x and g (x)=x

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Answer:

Step-by-step explanation:

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3 years ago

What is the equation of a line that contains the point (6,-4) and has a slope of 3/4?

elixir [45]

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

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2 years ago

a triangle has two sides of length 5 and 4 what is the smallest possible whole-number length for the third side​

a triangle has two sides of length 5 and 4 what is the smallest possible whole-number length for the third side