3 years ago

Two angles that have the same measure???

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

Answer:

Congruent Angles

Step-by-step explanation:

Two angles that have the same measure are called congruent angles.

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mart [117]

Answer:

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that's what I think

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3 years ago

Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

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3 years ago

Determine the greatest intergral value of K for which 2x^2 - Kx +2 =0 will have non-real roots ...Use quadratic inequalities to

Mrac [35]

Answer:

Greatest integral value of K = 3.

Step-by-step explanation:

The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac. For non-real roots this is negative.

2x^2 - kx + 9 = 0

The discriminant = (-k)^2 - 4*2*2 , so:

k^2 - 16 < 0 for non-real roots.

k^2 < 16

k < √16

k < 4

So the answer is 3.

The greatest integral value is 8.

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emmasim [6.3K]

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kogti [31]

Answer:

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Step-by-step explanation:

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