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JulijaS [17]
3 years ago
11

PLZ HELP ME ON THIS PROBLEM ASAP... PLZ AND THANK YOU

Mathematics
2 answers:
Vladimir [108]3 years ago
6 0

For this case we must change the following equation:

y = a (x-h) ^ 2 + k to the standard form: y = ax ^ 2 + bx + c

By definition we have to:

(a-b) ^ 2 = a ^ 2-2ab + b ^ 2

Then, rewriting:

y = 4 (x-5) ^ 2 + 7\\y = 4 (x ^ 2-2 * 5 * x + 5 ^ 2) +7

Applying distributive property to the terms within parentheses:

y = 4x ^ 2-40x + 100 + 7

Finally we have:

y = 4x ^ 2-40x + 107

Answer:

y = 4x ^ 2-40x + 107

Katen [24]3 years ago
4 0

Answer: y=4x^2-40x+107

Just distribute the equation.

y=4(x-5)^2+7

y=4(x^2-10x+25)+7

y=4x^2-40x+100+7

y=4x^2-40x+107

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\bold{\huge{\purple{\underline{ Solutions }}}}

<h3><u>Solution </u><u>(</u><u>a)</u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{6}}{\bold{ + }}{\bold{\dfrac{ 2}{5}}}

  • <u>By </u><u>taking </u><u>LCM </u><u>of </u><u>the </u><u>given </u><u>denominators </u>

\sf{ = \:}{\sf{\dfrac{ 35 +  12 }{30}}}

\sf{ =\: }{\sf{\red{\dfrac{ 47 }{30}}}}

Hence, The answer is 47/30

<h3><u>Solution </u><u>(</u><u> </u><u>b</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 1}{7}}{\bold{ + }}{\bold{\dfrac{ 1}{8}}}

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\sf{ =\: }{\sf{\dfrac{ 8 + 7 }{56}}}

\sf{ =\: }{\sf{\red{\dfrac{ 15}{56}}}}

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<h3><u>Solution </u><u>(</u><u> </u><u>c</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{13}}{\bold{ + }}{\bold{\dfrac{ 5}{10}}}

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\sf{=\:}{\sf{\dfrac{ 70 + 65 }{130}}}

\sf{ = \:}{\sf{\dfrac{ 135}{130}}}

\sf{ =\:}{\sf{\red{\dfrac{ 27}{26}}}}

Hence, The answer is 27/26

<h3><u>Solution </u><u>(</u><u> </u><u>d</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{5}}{\bold{ - }}{\bold{\dfrac{ 1}{3}}}

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\sf{ =\:}{\sf{\dfrac{ 21 - 5 }{15}}}

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<h3><u>Solution </u><u>(</u><u> </u><u>e) </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 8}{7}}{\bold{ - }}{\bold{\dfrac{ 9}{11}}}

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\sf{=\:}{\sf{\dfrac{ 88 - 63}{77}}}

\sf{=\:}{\sf{\red{\dfrac{ 25}{77}}}}

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<h3><u>Solution </u><u>(</u><u> </u><u>f</u><u>) </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 11}{4}}{\bold{ - }}{\bold{\dfrac{ 1}{9}}}

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\sf{=\:}{\sf{\dfrac{ 99 - 4}{36}}}

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