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3 years ago

Need help ASAP 20 points

Mathematics

1 answer:

mote1985 [20]3 years ago

3 0

Answer:

It is D.

Step-by-step explanation:

Hoped this helped have an amazing day!

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Step-by-step explanation:

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What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction)and (one-third,

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<h3>4x - 8y = -6 is the equation of line in standard form</h3>

Solution:

The equation of line in point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, m is the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (\frac{2}{5} , \frac{19}{20})\\\\(x_2, y_2) = (\frac{1}{3} , \frac{11}{12})$

Substituting the values we get,

$m = \frac{\frac{11}{12} - \frac{19}{20}}{\frac{1}{3} - \frac{2}{5}}\\\\Simplify\\\\m = \frac{-8}{240} \times \frac{15}{-1}\\\\ m = \frac{120}{240}\\\\m = \frac{1}{2}$

$\text{Substitute } m = \frac{1}{2} \text{ and } (x_1, y_1) = (\frac{2}{5} , \frac{19}{20}) \text{ in eqn 1 }$

$y - \frac{19}{20} = \frac{1}{2}(x - \frac{2}{5})\\\\y - \frac{19}{20} = \frac{x}{2} - \frac{1}{5}\\\\\frac{x}{2} - y = - \frac{19}{20} + \frac{1}{5}\\\\\frac{x}{2} - y = \frac{-15}{20}\\\\Simplify\\\\y = \frac{1}{2}x + \frac{3}{4}$

In standard form,

$y = \frac{4x+6}{8}\\\\8y = 4x + 6\\\\4x - 8y = -6$

Thus the equation of line is found

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An isosceles trapezoid has bases of lengths 6 and 8 and a height of 16. Find the area.

11111nata11111 [884]

Answer:

Step-by-step explanation:

In an isosceles trapezoid, the opposite sides are equal.

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 6

b = 8

height = 16

Therefore,

Area of trapezoid = 1/2(6 + 8)16

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