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astraxan [27]
3 years ago
12

A line that is perpendicular to y=-2/7x+9y and that passes through the point (4, -6)

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
--------------------------------------------------
Find Slope :
--------------------------------------------------
y = -2/7x + 9
Slope = -2/7
Perpendicular slope= 7/2

--------------------------------------------------
Find y - intercept :
--------------------------------------------------
y = mx + b
y = 7/2 x + b
At (4, -6)
-6 = 7/2 (4) + b
-6 = 14 + b
b = -6 - 14
b = -20

--------------------------------------------------
Form equation :
--------------------------------------------------
y = mx + b
y = 7/2 x - 20
2y = 7x - 40

--------------------------------------------------
Answer: 2y = 7x - 40
--------------------------------------------------

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2 years ago
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butalik [34]
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The distance between the horizontals is 7

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Considering that the pythagorean theorem is the a^2+b^2=c^2, and 'a' and 'b' are the sides, then you plug in '7' and '2', making the equation 7^2+2^2=c^2
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4 0
3 years ago
Read 2 more answers
8 squared by 6 ÷ 4 squared by 3 =
loris [4]

8^6 ÷ 4^3

8^6 = 262,144

4^3 = 64

So, 262,144 ÷ 64 = 4,096.

Done!

3 0
3 years ago
Read 2 more answers
Maths Trigonometry Question<br> 100 points up for grabs!<br> Will give brainliest to whoever answers
Gekata [30.6K]

Answer:

14) 21.136505024965 m

15) 43.076759215619 km

Step-by-step explanation:

14)

let h be the height of the lighthouse:

tan(41.3) = 18.7/h

Then

h = 18.7÷tan(41.5)

  = 21.136505024965 m

………………………………………

15)

90-71.4 =18.6

Let s be the distance that the plane flew

towards the south:

tan(90 - 71.4) = s/128

Then

tan(18.6) = s/128

Then

s = tan(18.6)×128

  = 43.076759215619 km

5 0
2 years ago
Read 2 more answers
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