Equating the y's:-
3x + c = x^2 - 5x + 7
x^2 - 8x +7 - c = 0
If y = 3x + c is a tangent then there will be duplicate solutions to this equation
That is the discriminant b^2 - 4ac = 0. So we have:-
(-8)^2 - 4 * 1 * (7 -c) = 0
64 -28 + 4c = 0
4c = - 36
so c = -9 answer
The FOIL <em>method</em> is a method of <u>expanding</u> two given <u>brackets</u> by following the required <u>steps</u>. Thus using the FOIL <em>method</em>, the required answer is: -7
<em>Expansion</em> of <u>brackets</u> may be done using different <em>methods</em>, but these <em>methods</em> would give the same answer. Some <em>methods</em> that can be used are the <u>binomial</u> expansion method, FOIL method, etc.
The FOIL <u>method</u> is a <em>shortened</em> form of the<u> steps</u> required for the process. These required <u>steps</u> are <u>First</u>, <em>Outside</em>, <em>Inside</em>, and <u>last.</u>
Thus to <u>expand</u> the given <em>brackets</em> in the question, we have;
(5+2)(4-5) = 5(4 - 5) + 2(4 - 5)
= 20 - 25 + 8 - 10
= 28 - 35
(5+2)(4-5) = -7
Thus using the FOIL <u>method</u>, the <u>answer</u> to the question is -7.
<em>Quick check</em>: (5+2)(4-5) = (7)(-1)
= -7
For more clarifications on expansion of brackets using the FOIL method, visit: brainly.com/question/1592629
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Answer: no scale
Step-by-step explanation:
