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2 years ago

1. (3-7i) and (0+2i)

Mathematics

2 answers:

Nastasia [14]2 years ago

6 0

Answer:

3=9i

Step-by-step explanation:

1. (3-7i) and (0+2i)

we will take the parenthesis out it will be

3-7i=0+2i

we will move 7i and 2i together and the same for others

so it will be

3-0=2i+7i

to simplify

it will be

i=3

Gennadij [26K]2 years ago

5 0

hahahah hfguiyfewkuygf 30 points i wnt it not 5

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67 1/2% of what number of people is 135 people

Tanzania [10]

Answer:

go to omnicalculator.com they have all sorts of calculators including one called a percent changer calculator

Step-by-step explanation:

4 0

2 years ago

Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and

jenyasd209 [6]

Equation of a line is $x+3y =-3$ .

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are ( $x_{1},y_{1}$ ) = (4, 1) and ( $x_{2},y_{2}$ ) = (2, -5).

First find the midpoints of the given line segment.

M = $\left(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2}\Right)$

= $\left(\frac{4+2 }{2},\frac{1-5 }{2}\Right)$

M = $(3,-2)$

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

so,

the slope between (4,1) and (2,-5) = $\frac{-5-1 }{2-4 }$

= 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= $\frac{-1}{3}$

The equation of a line that has a slope of m and passes through the midpoints M(3,-2) is

$y-y_{1} =m(x-x_{1} )$

$y-(-2) =\frac{-1}{3} (x-3 )$

$(y+2) =\frac{-1}{3} (x-3 )$

if we want slope intercept form

$(y+2) =\frac{-1}{3} x+1$

$y= \frac{-1}{3} x-1$

If we want standard form

$\frac{1}{3} x+y = -1$

$x+3y =-3$

Hence, Equation of a line is $x+3y =-3$ .

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

7 0

1 year ago

estimate each product. tell whether the estimate is greater than or less than the actual product. $224×12= 372×36= 488×85= 515×4

Jobisdone [24]

<span>224*12=2600(less than actual Product) 372*36=13400(greater than actual Product) 488*85=41500(greater than actual Product) 515*41=21100(less than actual Product)</span>

6 0

3 years ago

When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups

marshall27 [118]

Answer:

it takes 2 seconds to do one situp

it takes 2 seconds to do one pushup

to do 14 pushups, it takes 28 seconds.

to do 12 situps it takes 24 seconds

to do 12 pushups, it takes 24 seconds

BRAINLIEST PLEASE!

hope this helps :)

Step-by-step explanation:

14x + 12y = 52

12x + 12y = 48

^^^ this is an inequality that we can make.

x stands for pushups

y stands for situps

if we subtract the second equation from the first, we get

2x = 4

x = 2

now we can place x in one of the equations to solve for y

12(2)+12y=48

24 + 12y = 48

12y = 24

y = 2

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1 year ago

Find the slope of the line through the given points (1,6),(-8,-9)

cestrela7 [59]

The answer to the question

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2 years ago