Find the volume, in cm?, of a right circular cylinder with radius 10 cm and height 14 cm.
2 answers:
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The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
The given coordinate are (8, -1) and (2, -5).
<h3>What is the slope of an equation?</h3>In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
The slope of the equation is .
The standard form of an equation is Ax + By = C.
The given the point-slope form is .
Multiply each term by 3 of the equation.
⇒3y + 3 = 2x - 16
Subtract 2x from both sides of a equation.
That is, -2x + 3y + 3 = - 16
Subtract 3 from both sides of a equation.
That is, -2x + 3y = - 19
Multiply each term by - 1 from both sides of an equation.
That is, 2x - 3y = 19
Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
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<h2>Inequality</h2><h3>-7x > 21</h3>
<em>Divide both sides by −7. Since −7 is <0, the inequality direction is changed.</em>
<h3>x< 21/-7</h3><em>Divide 21 by −7 to get −3. </em>
<h3>x < −3</h3><em>The image is blurred, so options "A" and "B" are very similar, it may be a mistake. But you can check which one is correct.</em>
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<h2>[See attached image] </h2>Keywords
quadratic equation, discriminant, complex roots, real roots
we know that
The formula to calculate the <u>roots</u> of the <u>quadratic equation</u> of the form is equal to
where
The <u>discriminant</u> of the <u>quadratic equation</u> is equal to
if ----> the <u>quadratic equation</u> has two <u>real roots</u>
if ----> the <u>quadratic equation</u> has one <u>real root</u>
if ----> the <u>quadratic equation</u> has two <u>complex roots</u>
in this problem we have that
the <u>discriminant</u> is equal to
so
the <u>quadratic equation</u> has two <u>complex roots</u>
therefore
the answer is the option A
There are two complex roots