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GaryK [48]
2 years ago
15

How do you find the equation that is perpendicular to 2x-5y=20, passing through the point (7,-8)?

Mathematics
1 answer:
IrinaK [193]2 years ago
8 0
To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y. 

2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4

Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept. 

y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b

Now use our new slope and new y intercept to write the new equation. 

y = -5/2x + 19/2
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If marie wants to decorate a gift box with ribbon. She measures three pieces that she has with a ruler.They are 32. Centimeters,
Misha Larkins [42]

Answer: No, she does not have enough.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.

- She need 200 centimeters of ribbon for the box.

2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:

32cm+41.19cm+57.8cm=130.99cm

3. As you can see:

 130.99 cm<200 cm

Therefore, she does not have enough ribbon.

5 0
3 years ago
X+2=-12<br><br> Help ASAP!<br> PLEASE!
Lena [83]

Hey there!

Answer = -14

Explanation:

Let's solve your equation step-by-step.

x + 2 = -12

Subtract 2 from both sides:

x + 2 - 2 = -12 - 2

x = -14

So therefore, that is how you found your answer: x = -14

5 0
3 years ago
The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

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3 years ago
What fractional part of a pound is an ounce
svetoff [14.1K]
Since there are 16 oz in a pound, it would be 1/16
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3 years ago
Which of the following values is closest to the variance for the set of data shown below? 23, 32, 20, 43, 41, 66, 63, 59, 54, 36
Jobisdone [24]
Sorry if I'm wrong but I think the answer is B
5 0
3 years ago
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