All categories

3 years ago

Put these numbers in order from least to greatest

Mathematics

1 answer:

slega [8]3 years ago

4 0

Answer: -8/3, -2.25, |-4/5|, 1.2, 1.25

Step-by-step explanation:

Convert to the decimal values and compare.

-8/3 -2.666666667

-2.25 -2.25

|-4/5| 0.8

1.2 1.2

5/4 1.25

You might be interested in

Algebra 1 question, Please help. Picture attached below ^^

yarga [219]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Passes through the points (−4, 2) and (12, 6)?

svlad2 [7]

I'll assume you need to find the equation of the line that passes through those points.

Answer:

$\displaystyle y-2=\frac{1}{4}(x+4)$

Step-by-step explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The given points are (-4,2) and (12,6), thus:

$\displaystyle y-2=\frac{6-2}{12+4}(x+4)$

Operating:

$\displaystyle y-2=\frac{4}{16}(x+4)$

Simplifying, the equation in point-slope form is:

$\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}$

3 0

2 years ago

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

What is the gcf of 48, 64 and 72

ziro4ka [17]

The greatest common factor is 8 because Prime factor is 2 and 4, Number 48 is 4 and 1 Number 64 is 6 and o Number 72 is 3 and 0 which it would all equal 2^3 so 48 = 2^4 times 3 64 = 2^6 and 72 = 2^3 times 3^2 Hope this helps.

5 0

3 years ago

Read 2 more answers

find the equation of a straight line passing through the point(4,5) and equally inclined to the lines 3x = 4y +7 and 5y= 12x +6

galina1969 [7]

First we have to determine the slope of each lines by transforming to the slope-intercept form:

y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5

The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope

y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9

3 0

3 years ago