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2 years ago

Determine the discount between the point(-4,2) and the line 4y=3×+6

Mathematics

1 answer:

frozen [14]2 years ago

6 0

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

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3 years ago

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3 years ago

The sides of a Triangle are in the ratio 11 19:24 and

Paul [167]

Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²

More exactly: 10182 cm²

Step-by-step explanation: $A=\frac{bh}{2}$

240 × 84.85 = 10182

To get the height of the triangle, it takes some trigonometry;

Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula $cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}$

We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.

We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.

side a = 19, side b = 24, side c = 11

24² + 11² - 19² is 576 + 121 - 361 = 336

2(24)(11) = 528

cos A = 336 / 528 that is 0.636364 $\cos^{-1}\left(.6363634\right)$ = 50.47°

sin(50.47) = 0.77129

0.77129 × 11 = 8.48 is the height Rounding to 8.5 would be reasonable for this height

Using rounded values here to calculate Area :

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2 years ago

Which is greater: -3 or 1/6 *<br> They are equal<br> 3<br> 1/6<br> It depends

nasty-shy [4]

The answer is 1/6 because it is not negative

6 0

2 years ago

Determine the discount between the point(-4,2) and the line 4y=3×+6​

Determine the discount between the point(-4,2) and the line 4y=3×+6