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Arlecino [84]
2 years ago
14

PLEASE HELP ME WITH THIS QUESTION I NEED HELP

Mathematics
1 answer:
irina [24]2 years ago
5 0

Answer:

True

Step-by-step explanation:

This is true in an equilateral triangle.

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A line passes through (3, -2) and (6, 2). a. Write an equation for the line in point-slope form. b. Rewrite the equation in stan
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Answer:

(a)

Given: A line passes through the points (3, -2) and (6, 2)

Point slope form: An equation of line passing through two points (x_1, y_1) and (x_2, y_2) is given by:

y -y_1=m(x-x_1`)  .....[1] where m is the slope of the line.

Calculate first the slope of the line:

Slope(m) = \frac{y_2-y_1}{x_2-x_1}

Substitute the given points;

m = \frac{2-(-2)}{6-3}=\frac{2+2}{3} =\frac{4}{3}

Substitute the value of m in [1] ;

y - (-2) = \frac{4}{3}(x-3)

y+2=\frac{4}{3}(x-3)     ......[1]

therefore, the equation of line in point slope form is, y+2=\frac{4}{3}(x-3)    

(b)

to find the standard form of the equation [1]

Multiply both sides by 3  in [1] we get;

3(y+2) = 4(x-3)

using distributive property;   a\cdot (b+c) = a\cdot b + a\cdot c

3y + 6 = 4x -12

Subtract 3y to both sides we get;  

3y + 6 -3y = 4x - 12 - 3y

Simplify:

6 = 4x - 3y -12

Subtract 6 from both sides we get;

0 = 4x - 3y -12-6

Simplify:

4x - 3y - 18 =0

Therefore, the standard form of the equation is; 4x - 3y - 18 =0

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3 years ago
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Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

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