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Neporo4naja [7]
3 years ago
13

What is the equation of the line that goes through (4,6) and is perpendicular to y= -1/2x +3? Showing steps

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

y=1/2x+4

Step-by-step explanation:

a perpandicular line can be made by just making the x negative, or , since it's already negtive, positive.

so i'll start with

y=1/2x+k (just basic equation w no values)

6=2+k (adding values of the coordinate)

4=k (simplifying)

y=1/2x+4 (plugging k back in to the equation)

borishaifa [10]3 years ago
7 0

Answer:

y = 2x - 2

Step-by-step explanation:

A line perpendicular to y= -1/2x +3 has slope 2, which is the "negative reciprocal" of the given slope -1/2.

Start with y = mx + b.  This new line passes thru (4, 6) and has slope 2.

Then:        6 = 2(4) + b, or b = -2.

The desired equation is y = 2x - 2.

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Angle K has a measure of 83 degrees and is reflected across the line y=2 to get angle K’.
natita [175]

Answer:

k= 83 degrees

Step-by-step explanation:

Reflection:  y=2

Required

K'

The general rule is that, reflection does alter measurements (angles or lengths).

So, this means that K' will have the same measure as K.

i.e.

k’=K

K= 83 degrees

5 0
2 years ago
What’s the inverse equation? And how you solved it step by step please!
Korvikt [17]

Answer:

The inverse is (x^2-5)/2

Step-by-step explanation:

y =sqrt(2x+5)

Exchange x and y

x = sqrt(2y+5)

Solve for y

Square each side

x^2 = (sqrt(2y+5))^2

x^2 = 2y+5

Subtract 5 from each side

x^2 -5 = 2y-5+5

x^2 -5 = 2y

Divide each side by 2

(x^2-5)/2 = 2y/2

(x^2-5)/2 = y

The inverse is (x^2-5)/2

7 0
3 years ago
Can somebody explain what I have to do to find the value of x?<br> (In the pic)
schepotkina [342]
Their on a line and a line = 180 so you ether =them to 180 or to each other so if you want the answer hold on a sec

4 0
3 years ago
Read 2 more answers
2.<br> 3 in<br> x in<br> 2 in<br> If the volume of prism is 60 in³,<br> X =
Phoenix [80]

Answer: x=10 in

Step-by-step explanation:

60=3*2*x

60=6*x

x=10 in

5 0
1 year ago
a small city park has a rectangular lawn that is 20meters long and 10meters wide. what is the area of the lawn
Usimov [2.4K]
The formula for the area of the rectangular is:
long * wide 
So the answer is:
20*10 = 200 meters :)))) 
I hope this is helpful
have a nice day
7 0
3 years ago
Read 2 more answers
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