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Tema [17]
3 years ago
13

Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

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3 years ago
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In the figure below, PDW and WTC are right triangles. The measure of WPD is 30°, the measure of WC is 6 units, the measure of WT
aliya0001 [1]

Answer:

PD = 12\sqrt{3}

Step-by-step explanation:

Using the tangent ratio in right Δ PDW and the exact value

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4 0
3 years ago
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A baker bakes 752 muffins in a weekend. she sells the muffins in packs of 12. how many packs of muffins did she sell, how many d
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752/12 = 62.66 and since she can't sell a portion of a 12 pack, she sold 62 whole packages and had 2/3 of one remaining, 2/3 of 12 is 8 remaining.
8 0
3 years ago
The expression 87000(1.12)^t represents the population of a town t hears after 1996. By what percent does the population increas
Tamiku [17]

Answer:

12%

Step-by-step explanation:

Percentage increase of something is often represented in a formula of a format like this:

X=Ar^t

Where X represents the total amount after t years.

A or 87000 in this case represents the starting value, which is this case is the starting population of the town. r or 1.12 represents the percentage increase, if it increases by 12% than the next year has 1.12 times as many people as the previous year so this is represented by 1.12 rather than say 0.12 which would indicate a 88% decrease instead.  t is the time, no. of years in this case, that has elapsed since 1996.

This formula basically means that a town population of 87000 increases by 12% for every year of time that elapses.

Hope this helped!

7 0
3 years ago
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\frac{3-\frac{a}{b} }{\frac{1}{b}+b }[/tex]
hjlf

Hello from MrBillDoesMath!

Answer:

(3b -a) / ( 1 + b^2)

Discussion:

My best guess is that we are trying to simply this fraction:

( 3 - a/b) / ( (1/b) + b)   =             => multiply num. and denom. by "b"

(3b - a) / (   (1/b)*b + b*b) =

(3b -a) / ( 1 + b^2)


Thank you,

MrB

6 0
3 years ago
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