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Temka [501]
3 years ago
9

What is the constant of vanation,of the line y = for through (3.18) and (5,30)?​

Mathematics
1 answer:
Naily [24]3 years ago
8 0

the constant of variation or namely its slope will be

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6

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Answer:

The graph crosses the x-axis 2 times

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Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

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Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

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We need to know the discriminant to know nature of roots. The discriminant is:

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Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

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Thus,

The graph crosses the x-axis 2 times

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