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ahrayia [7]
3 years ago
9

What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.

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The scale on a map is 1cm=20miles.if two airports are 4cm apart on the map, what's the distance between the airports?
Stels [109]
80 miles because if 1=20 then 2=40 3=60 4=80
8 0
2 years ago
How to do question 22?
Aleks04 [339]

Answer:

A = 20sinθ(6 + 5 cosθ)  cm²

Step-by-step explanation:

Drop perpendiculars DE and CF to AB.

Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.

The formula for the area of the trapezium is

A = ½(a + b)h

DE = 10sinθ

AE = 10cosθ

BF = 10cosθ

EF = CD = 12 cm

AB = AE + EF  + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ

A = ½(a + b)h

   = ½(12 +12 + 20 cosθ) × 10 sinθ

   =(24 + 20 cosθ) × 5 sinθ

   = 4(6 + 5cosθ) × 5sinθ

   = 20sinθ(6 + 5 cosθ)  cm²

6 0
3 years ago
Determine if converges or diverges. Show steps
Brut [27]
(3^x-2)/9^x=1/3^x-2/9^x
which converges by thereom
it converges to 10/72=5/36
id show work if i could but take my word,
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6 0
2 years ago
for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranber
asambeis [7]

Answer:

4

Step-by-step explanation:

If two variables are proportional then

y\propto x

y=kx    ...(i)

where, k is constant of proportionality.

The given equation is

s=4c       ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: x=c

Dependent variable: y=s

Constant of proportionality: k=4

Therefore, the constant of proportionality is 4.

8 0
2 years ago
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Artist 52 [7]

Answer:

57.142858%

Step-by-step explanation:

I didn't know if you wanted the entire answer, so I just gave it anyway.

3 0
2 years ago
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