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3 years ago

What is 5x-9+2-4=9.4

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer:

x=5.1

Step-by-step explanation:

5x-9+2-4=9.4

5x=9.4+4-2+9

5x=20.4

x=5.1

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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

3 years ago

Can anyone help me? I'll give 20 points

Airida [17]

Answer:

Top answer · 0 votes

Q = 1.6LH3/2 38.4 = 1.6(3)(H3/2) H3/2 = 38.4/4.8 H3/2 = 8 (H3/2)2/3 = 82/3 Note that 82/3 = (3√8)2 = 22 = 4 The height is 4 ft

Step-by-step explanation:

6 0

3 years ago

Please help answer all please thank you

mr Goodwill [35]

Answer:

The answers are, in order:

1. Isolate

2. substitute

3. variable

Step-by-step explanation:

You're welcome :)

5 0

3 years ago

Reduce the fraction 36/48 to its lowest term

QveST [7]

Answer:

3/4

Step-by-step explanation:

$\dfrac{36}{48}=\dfrac{3\cdot 12}{4\cdot 12}=\dfrac{3}{4}\cdot\dfrac{12}{12}\\\\=\dfrac{3}{4}\cdot 1=\dfrac{3}{4}$

Effectively, divide both numerator and denominator by their greatest common factor, 12.

7 0

3 years ago

A geometric sequence follows________

Aleksandr-060686 [28]

A- am exponential pattern
(please mark brainliest)

4 0

3 years ago