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3 years ago

Select the values that make the inequality true.

Mathematics

1 answer:

Sladkaya [172]3 years ago

6 0

Answer: 35,40,45,50,55

That is the answer to the 1st part.

Step-by-step explanation:

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

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2 years ago

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Serggg [28]

Number three is a parallelogram

Number four is a rhombus

The attributes of each quadrilateral is that it must have four sides

Number seven is true because if you fold a rectangle in half it will be congruent and rectangles always have at least one parallel side

Number eight is false because a square has all equal length sides and a rectangle does not have all equal sides making the two very different

HOPE THAT HELPS!!!!!!

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Answer:

ummm I think the answer is Carrot

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Whats -0.25 as a fraction

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