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3 years ago

How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Mathematics

1 answer:

Murljashka [212]3 years ago

8 0

Answer:

It is One just took the test

Step-by-step explanation:

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Harlamova29_29 [7]

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3 years ago

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Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.

SCORPION-xisa [38]

Answer:

The solutions are $x=-3,\:x=3$

Step-by-step explanation:

To factor this cubic polynomial $x^3+3x^2-9x-27$ you must:

Group the polynomial into two sections

$x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)$

Factor out -9 from $(-9x-27)$

$(-9x-27)=-9\left(x+3\right)$

Factor out $x^2$ from $(x^3+3x^2)$

$(x^3+3x^2)=x^2\left(x+3\right)$

$x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)$

Factor out common term $x+3$

$-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)$

$x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)$

Factor $x^2-9$

$x^2-9=\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0$

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

$x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}$

The solutions are

$x=-3,\:x=3$

3 0

3 years ago

Helpp I don't understand

pychu [463]

Answer:

the answer is C or 18x + 18y

6 0

3 years ago

The dimensions of a rectangular flower bed on a sketch are 4 cm by 6 cm. In real life, the shorter side of the flower bed is 5 m

Fittoniya [83]

Answer:

The correct answer is 7.5

Step-by-step explanation:

100x5=500

500÷4=125

125x6=750

750/100=7.5

The answer is 7.5 m

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3 years ago

HELP ASAP

GarryVolchara [31]

Answer:

Todd paid $0.08 less per gallon of gasoline than Hope.

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3 years ago

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