Determine the quadrant(s) in which (x,y) is located so that the condition is satisfied. (Select all that apply.)

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

I’m not exactly sure but I think II and IV.

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omeli [17]

Answer:

$\large\boxed{x=\dfrac{-4-2\sqrt7}{3}\ or\ x=\dfrac{-4+2\sqrt7}{3}}$

Step-by-step explanation:

$\text{The quadratic formula for a quadratic equation}\ ax^2+bx+c=0\\\\\text{determinant:}\ \Delta=b^2-4ac\\\\\text{If}\ \Delta0,\ \text{then the equation has two different solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}.$

$\text{We have:}\\\\3x^2+8x-4=0\\\\a=3,\ b=8,\ c=-4\\\\\Delta=8^2-4(3)(-4)=64+48=112>0\\\sqrt\Delta=\sqrt{112}=\sqrt{(16)(7)}=\sqrt{16}\cdot\sqrt7=4\sqrt7\\\\x=\dfrac{-8\pm4\sqrt7}{2(3)}=\dfrac{-8\pm4\sqrt7}{6}=\dfrac{2(-4\pm2\sqrt7)}{6}=\dfrac{-4\pm2\sqrt7}{3}$

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riangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L? An

BARSIC [14]

Answer:

Angle L is a base angle and measures 72°.

Step-by-step explanation:

Triangle JKL is isosceles.

The measure of angle J is 72°

The measure of angle K is 36°

Angles in a trinagle add up to 180° so angle L is;

180° - (36° + 72°) = 72°

An isosceles triangle means that two of its sides are equal and two base angles are equal. So base angles are angles J and L and measures 72° each.

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