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2 years ago

For the given functions f and g , find the indicated compositions.

Mathematics

1 answer:

nadya68 [22]2 years ago

3 0

Answer:

$f( - 3) = {( - 3)}^{2} - 2 \times ( - 3) - 3 = 9 + 6 - 3 \\ = 12 \\ g(12) = 12 + 2 = 14$

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Center of rotation !!!

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3 years ago

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:

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

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2 years ago

Hellppp asapppp tysmm

Fiesta28 [93]

Answer:

3/5

Step-by-step explanation:

30 + 40 + 15 + 15 = 100

40/100 will be green

100/100 - 40/100 = 60/100

60/100 will NOT be green

60 ÷ 5 = 12

100 ÷ 5 = 20

12 ÷ 4 = 3

20 ÷ 4 = 5

3/5

3 0

2 years ago

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Hitman42 [59]

Answer:

1.6 kids

2.6

3.6

4.6

5.6

Step-by-step explanation:

if you count by 6 then you will see that im right

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2 years ago

I need to know what's 1131÷29 pronto

Ivahew [28]

the answer is 39 because you need to divide.

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3 years ago

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