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3 years ago

If 2 sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

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Dmitry [639]

Answer:

$2m^2-3m-9$

Step-by-step explanation:

use FOIL

F-firsts

$2m*m=2m^2$

O-outer

$2m*-3=-6m$

I-inner

$3*m=3m$

L-lasts

$3*-3=-9$

$2m^2-6m+3m-9\\\\-6m+3m=-3m\\\\2m^2-3m-9$

(2m+3)(m-3)

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3 years ago

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REY [17]

Answer:

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Step-by-step explanation:

its so obvious my g

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4 years ago

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)

vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}$

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3 years ago

Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP

fredd [130]

Answer:

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3 years ago

How much extra money do you need this month to cover<br> these emergencies???<br> Help

victus00 [196]

Answer:

Somewhere between three months and six months of basic living expenses in your emergency fund.

Average Monthly Expenses

$1,000.00

Existing Liquid Savings (Excluding Retirement)

$2,500.00

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2 years ago