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Anna35 [415]
3 years ago
11

What is an equation of the line that is perpendicular to y=−4/5x+3 and passes through the point (4, 12) ?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0
The slope of the given line is -4/5.  The line perpendicular to that line will have a slope that is the opposite reciprocal.  In other words, the perpendicular slope will be 5/4.  If it passes through (4, 12), we have an x and a y value to use in y=mx+b.  y is 12, x is 4, and we have a slope of 5/4.  Filling in accordingly: 12= \frac{5}{4}(4)+b and 12 = 5 + b.  So b = 7.  Rewriting with our new slope and b value, y= \frac{5}{4}x+7.  And there you go!
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Find the slope for (3,4) and (3,-4)
saveliy_v [14]

Answer:

undefined

The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 ,  4)

-(3  , -4)

------------

0      8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run.  Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

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3 years ago
Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu.
Elden [556K]

Correct answers are D + D(\frac{1}{5}) and 1.2D i.e. Options A & D

<u>Step-by-step explanation:</u>

Options for this questions are:

A)D+1/5D

B)D+20

C)D+20D

D)1.2D choose two answers.

We have , Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu. The previous menu had D dishes.We need to find expressions could represent how many dishes Crispy Clover's new menu has . Let's find out:

Initially , Number of dishes are D . Then 20% more dishes are there in menu

⇒ \frac{D(20)}{100}

So , Total Number of Dishes are

⇒ D + \frac{20d}{100}

⇒ D + \frac{20d}{20(5)}

⇒ D + D(\frac{1}{5})

⇒ D + D(0.2)

⇒ 1.2D

Therefore, Correct answers are D + D(\frac{1}{5}) and 1.2D i.e. Options A & D .

4 0
3 years ago
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