For the people who helped me with the question

Mathematics

1 answer:

erik [133]2 years ago

4 0

Answer:

glad my answer helped you.

Step-by-step explanation:

hope that because i showed the steps, it will help you if you come across a problem like that in the future too!

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Form a quadratic equation with roots (1+√3) and (1-√3)

Alborosie

Answer:

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1 year ago

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2 years ago

X/6 = 10/9<br> improper fraction in its simplified form

FinnZ [79.3K]

Answer:

$\frac{x}{6} = \frac{10}{9} \\ \therefore \: 9 \times x = 6 \times 10 \\ \therefore \:9x = 60 \\ \therefore \:x = \frac{60}{9} \\ \therefore \:x = \frac{20}{3} \\ \: \: \: \: \: \: \huge \red{ \boxed{\therefore \:x = 6\frac{2}{3} }}$

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3 years ago

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irina [24]

Take the longer leg length as $x$

$(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0$

Use the formular
$x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32$

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft

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3 years ago

. Find the angles thetaθ (with respect to the positive x-axis) associated with the directions of maximum increase, maximum d

shtirl [24]

Answer:

maximum increase: 90°
maximum decrease: -90°
zero change: 0°

Step-by-step explanation:

A line or ray pointing straight upward will be pointing in the direction of maximum increase. It will make an angle of 90° with respect to the x-axis.

A line or ray pointing straight downward will be pointing in the direction of maximum decrease. It will make an angle of -90° with respect to the x-axis.

A horizontal line will be associated with zero change. It makes an angle of 0° with respect to the x-axis.

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3 years ago