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2 years ago

Write the equation of the line passing through point (4, -1) and perpendicular to the line whose equation is 2 x - y - 7 = 0.

1 answer:

6 0

2 x - y - 7 = 0
y =2x - 7 slope = 2
perpendicular slope = -1/2
line passing through point (4, -1)
y = mx + b
-1=-1/2(4) + b
-1 = - 2 + b
b = 1

equation
y =-1/2(x) + 1

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ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
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Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
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${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
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$x=-3,-2,2,3$

The correct answer is A

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Consider two circular swimming pools. Pool A has a radius of 48 feet, and Pool B has a diameter of 29.46 meters. Complete the de

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Answer: pool B has a greater circumference.

Step-by-step explanation:

The formula for determining the circumference if a circle is expressed as

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