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2 years ago

The gold bar has a trapezium cross-sectional area.

Mathematics

1 answer:

mario62 [17]2 years ago

4 0

Answer:

Mass of gold bar=13.896

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

Please need help on this question

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

5 0

1 year ago

A chef can make 12 omelets in one hour . what is the rate of omelets per minute?

g100num [7]

5 per minute is the answer.

4 0

2 years ago

The ratios a: B and B :c are equivalent to one another

Dafna11 [192]

Answer:

Options (2) and (5)

Step-by-step explanation:

Given ratio is a : b and b : c

$\frac{a}{b}=\frac{b}{c}$

$\frac{b}{a}= \frac{c}{b}$ [Option 2]

$\frac{a}{b}=\frac{b}{c}$

b × b = a × c

b² = ac

If a = b,

b² = bc

b = c [Option 5]

Therefore, Options (2) and (5) are the correct options.

7 0

2 years ago

−2(x − 3) = 2(x + 1)<br><br> who can solve this?

Y_Kistochka [10]

this answer is this right here x=1

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2 years ago