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3 years ago

Factor 2y^2+7y-14=0 How do I solve this by factoring ?

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

y=−7−(√161/4), −7+(√161)/4

Decimal form- y=1.42214438, -4.92214438

Step-by-step explanation:

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Matching please help <br> and help me under

slega [8]

Answer:
y=x^2-2x+1 is matched to the second graph
Y=x^2-2x is matched to the third graph
Y=2x^2+4 is matched to the first graph

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3 years ago

Find LCM of 15,42,125 .Show all the work

Firdavs [7]

Answer:

The least common multiple of 15, 42 and 125 is 5250.

6 0

3 years ago

Please me with this!

aleksandr82 [10.1K]

$sin^{-1}(x) + cos^{-1}(-\frac{1}{2}) = \pi$
$sin[(sin^{-1}(x) + cos^{-1}(-\frac{1}{2})] = 0$
$sin(sin^{-1}(x)) \cdot cos(cos^{-1}(-\frac{1}{2})) + cos(sin^{-1}(x)) \cdot sin(cos^{-1}(-\frac{1}{2})) = 0$

$-\frac{x}{2} + \sqrt{1 - x^{2}} \cdot \sqrt{1 - (-\frac{1}{2})^{2}} = 0$
$\sqrt{1 - x^{2}} \cdot \sqrt{1 - (\frac{1}{4})} = \frac{x}{2}$
$\sqrt{1 - x^{2}} \cdot \sqrt{\frac{3}{4}} = \frac{x}{2}$

$\frac{\sqrt{3(1 - x^{2})}}{2} = \frac{x}{2}$
$\sqrt{3(1 - x^{2})} = x$
$3(1 - x^{2}) = x^{2}$
$3 - 3x^{2} = x^{2}$
$4x^{2} = 3$

$x^{2} = \frac{3}{4}$
$x = \pm \frac{\sqrt{3}}{2}$

Substitute both x-values in, and only $x = \frac{\sqrt{3}}{2}$ works.

Thus, $x = \frac{\sqrt{3}}{2}$ is your solution.

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3 years ago

A circle k(O) with radius 4.5 cm is given. Through point A (OA=9 cm) draw two tangents to the circle. What is the measure of the

nadezda [96]

Answer:

60º

Step-by-step explanation:

Label the radii OB and OC where AB and AC are tangents. OB and OC are 4.5 cm as they are both radii. Then we can see that OBA and OCA are both right triangles with OBA=OCA=90º. OAB=OAC=30º because the side lengths fit the criteria for a 30-60-90 triangle. OAB+OAC=60º

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4 years ago

The volume of a box is given by V = 2x3-11x2 +10x +8. One side is (x - 4) and another side is (2x + 1).

user100 [1]

Answer:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

= 2x^2 - 7x - 4

The long division is shown on the attached photo

The length of the third side is ( x - 2 )

4 0

3 years ago

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