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dusya [7]
3 years ago
13

If​ Tucson's average rainfall is 12 and one fourth inches and​ Yuma's is 4 and four fifths ​inches, how much more​ rain, on the​

average, does Tucson get than​ Yuma?
Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
7 and 9/20 would be the correct answer here
 
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for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

4 0
1 year ago
Rachel's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square fe
netineya [11]

52^ 2 because this is equal to the area which is 2704 sq ft.  So 52 to the second power is your answer. 52 ^2 Hope this helps!  :)

3 0
3 years ago
After the 4th half life how much of the sample is left if the mass is 100g.
vazorg [7]

Answer:

\huge\boxed{\sf 6.25 \ g}

Step-by-step explanation:

After every Half life , Half of the mass is left.

After 1st Half life = 100 g / 2 = 50 g

After 2nd Half life = 50 / 2 = 25 g

After 3rd Half life = 25 / 2 = 12.5 g

After 4th Half life = 12.5 / 2 = 6.25 g

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
2 years ago
Solve the equation for X.<br> 23 = 5x – 2<br> 12 5122<br> 25:9<br> esday
Snezhnost [94]
X is 5. Hope this helps:)
4 0
3 years ago
I help to answer this problem
Sloan [31]

Answer:

4x+9+x+17=180-29

5x+26=151

5x=125

x=25

6 0
3 years ago
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