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3 years ago

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Mathematics

2 answers:

Julli [10]3 years ago

7 0

Answer:

It's b, 45 degrees

Step-by-step explanation:

1) 180-90 = 90

20 90 divided by 2 = 45

dmitriy555 [2]3 years ago

5 0

Answer:

45 degrees

Step-by-step explanation:

There are 180 degrees in a triangle, so

x + y + 90 = 180.

But x = y so we can write 2x + 90 = 180.

2x = 180 - 90

2x = 90

x = 45

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Answer:

see attached

Step-by-step explanation:

A graphing calculator can do a nice job of showing you what the graph looks like.

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2 years ago

Solve using quadratic formula for 2x^(2)-10x+5=0

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Answer:

$x=\frac{5+\sqrt{15}}{2},\:x=\frac{5-\sqrt{15}}{2}$

Step-by-step explanation:

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

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

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$x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:2\cdot \:5}}{2\cdot \:2}$

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$=\sqrt{10^2-40}$

$10^2=100$

$=\sqrt{100-40}$

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$2,\:3,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:3\cdot \:5$

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$=\sqrt{2^2\cdot \:3\cdot \:5}$

Apply Radical Rule:

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Apply Radical Rule:

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$\mathrm{Refine}$

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$\mathrm{Separate\:the\:solutions}$

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$\mathrm{Cancel\:the\:common\:factor:}\:2$

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$\frac{-\left(-10\right)-2\sqrt{15}}{2\cdot \:2}$

$=\frac{10-2\sqrt{15}}{2\cdot \:2}$

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$=\frac{10-2\sqrt{15}}{4}$

$=\frac{2\left(5-\sqrt{15}\right)}{4}$

$\mathrm{Cancel\:the\:common\:factor:}\:2$

$=\frac{5-\sqrt{15}}{2}$

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

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