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Luba_88 [7]
3 years ago
13

Consider the line x+5y=6

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

x + 5y = 6 is perpendicular to y = 5x + \frac{6}{5} and parallel to y = -\frac{1}{5}x + 2\\

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> y = -\frac{1}{5}x + \frac{6}{5}

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

-\frac{1}{5} is perpendicular to -(\frac{-5}{1} ) which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

y = -\frac{1}{5}x + \frac{6}{5}\\ is parallel to y = -\frac{1}{5}x + 2\\ just like y = -\frac{1}{5}x - \frac{100}{23}.

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What do I do to figure out this problem:<br>3x+8=26+x
Gnom [1K]
<span><u>3x + 8 = 26 + x</u>

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it.    I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number.  It's the number
that 'x' must be in order for that line at the top to be a true statement.  There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too.  With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem:      </span><span><u>3x + 8 = 26 + x</u>

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

<u>x = 9 </u> .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean.  Let's take the original problem

                   </span><span> <u><span>3x + 8 = 26 + x

</span></u><span>and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense.  14 is not equal to 28 .  The reason that happened
is because we put the wrong number in place of 'x' .  When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>

</span>

7 0
3 years ago
Read 2 more answers
64 POINTS
sveticcg [70]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

To start with, we can use this:

2 (\pir^2)

^^ This represents the surface area of the two circles

A cylinder also has a rectangle which is rolled to form the shape

As we know, the formula of a rectangles area is length x width

The width of the rectangle would be equal to the circumference of a circle

circumference of circle = \pi d

The length of the rectangle would be the height of the cylinder

We can use this:

(\pi d * h) + 2(\pi r^2)

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

<u></u>

↬ ʜᴀɴɴᴀʜ ♡

6 0
2 years ago
Fred goes fishing with sally. Fred catches 8 trout sally catches twice as many trout as Fred. ​
valentinak56 [21]
The answer for this is sally caught 16 trout because 8x2=16.
8 0
2 years ago
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A college student takes the same number of credits each semester. She had 15 credits when she started, and after 4 semesters, sh
allochka39001 [22]

Answer:

f(x)= 4(x)+15=71

X=14

Step-by-step explanation:

to find "x" you could do this

71-15=56 then 56/4=14  , x=14

7 0
3 years ago
a school cafeteria makes cheese sauce for macaroni using 15 cups of Swiss cheese and 17 cups of cheddar cheese Perry tries to ma
deff fn [24]

No, Perry is not using the correct ratio, because 15:17 is not equivalent to 5:7

15 divided by 3 is indeed 5 but divided 17 by 3 does not give you 7, nor a whole number.



I hope this helps.

3 0
3 years ago
Read 2 more answers
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