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4 years ago

Classify the following triangle. Check all that apply.

Mathematics

1 answer:

Pachacha [2.7K]4 years ago

7 0

That is a Right Triangle

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What is the phase shift of y = –csc(3x − π)?

zmey [24]

The answer is pie over three

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3 years ago

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Is a voluntary response sample (sometimes, always, or never) valid?

Katen [24]

A voluntary response sample is always valid.

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4 years ago

Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Evgen [1.6K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

Step-by-step explanation:

Given the equation

$x^2\:-3x\:-\:5\:=\:0$

solving with the quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}$

separating the solutions

$x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}$

solving

$x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3+\sqrt{29}}{2\cdot \:1}$

$=\frac{3+\sqrt{29}}{2}$

also solving

$\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3-\sqrt{29}}{2\cdot \:1}$

$=\frac{3-\sqrt{29}}{2}$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

7 0

3 years ago

HELP PLZ 5x + -9 + 3x - 20 =

Rama09 [41]

Add like terms. "Like terms" are those with the same constellation of variables.
.. terms with variable x: 5x +3x = (5 +3)x = 8x
.. terms with no variable: -9 -20 = -29

The simplified form is 8x -29.

6 0

3 years ago

Turning off the water while brushing your Teeth saves 350 centilliters of water. How many liters of water can you save if you tu

Blababa [14]

Answer:

1.1l

Step-by-step explanation:

350×3=1050cl

=1.05l

rounded to nearest hundredth=1.1l

3 0

3 years ago