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3 years ago

How do i solve for the x-intrcepts for 4x^2-3y^2+2xy-12=0

Mathematics

1 answer:

xeze [42]3 years ago

4 0

Put it in slope intercept form and plot the y-axis then plot each of the slopes finding the x-intercept

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Om to 4conm.

max2010maxim [7]

The correct answer is water

8 0

3 years ago

Stanley, the skunk, is traveling from point A to point B by taking a shortcut through the pond.A path that avoids the pond is 25

san4es73 [151]

Stanley the skunk will save about 15.5 feet.

This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.

If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.

7 0

2 years ago

Please do my all question

Kryger [21]

The factorization of the numbers is obtained as

(a) 36 = 2² x 3²,

(b) 60 = 2² x 3 x 5,

(d) 99 = 3² x 11 and

(d) 180 = 2² x 3² x 5

<h3>Factor of the numbers</h3>

To factorize the numbers we use their factors as show below;

<h3>Factors of 36</h3>

36 = 2² x 3²

<h3>Factors of 60</h3>

60 = 2² x 3 x 5

<h3>Factors of 84</h3>

84 = 2² x 3 x 7

<h3>Factors of 99</h3>

99 = 3² x 11

<h3>Factors of 180</h3>

180 = 2² x 3² x 5

Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.

Learn more about factorization here: brainly.com/question/25829061

#SPJ1

6 0

1 year ago

Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna

Anuta_ua [19.1K]

Answer:

$\frac{1}{2} \: cup \: of \: juice$

Step-by-step explanation:

See the attached picture for explanation.

5 0

2 years ago

Please show work and thank youuu

Assoli18 [71]

Answer: $6\sqrt{3}$

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

$a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

$\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

$\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

The short leg is always opposite the smallest angle (30 degrees).

3 0

1 year ago