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Sati [7]
3 years ago
14

P varies directly with the square of R. When R is 4, P is 56. Find the value of P when R is 6

Mathematics
1 answer:
Sav [38]3 years ago
6 0
Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign. 
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!
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adelina 88 [10]

Answer:

6

Step-by-step explanation:

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8 0
3 years ago
40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.
puteri [66]

Answer:

7.1

Step-by-step explanation:

Using the distance formula

d = sqrt (  (x2-x1)^2 + ( y2-y1)^2)

    sqrt (  (-5-2)^2 + ( -3- -2)^2)

    sqrt(   ( -7)^2  + ( -3 +2)^2)

   sqrt(   ( 49  + 1)

   sqrt( 50)

  7.071067812

To the nearest tenth

7.1

8 0
3 years ago
Read 2 more answers
The school cafeteria sells 300 half-pints Of milk everyday. How many gallons of milk is that?
Natali [406]
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7 0
3 years ago
ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?
MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

Step 1: Finding the length of  EF

By using distance formula,

EF = \sqrt{(-7 - 0)^2 + (4-0)^2}

EF = \sqrt{(49) + (16)}

EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

Step 2: Finding the length of  FG

By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8

Thus we could see that the sides EF = FG

So it is  a isosceles triangle.

6 0
3 years ago
What is the mean for this list of numbers? 19, 22, 24, 45
STALIN [3.7K]

Answer:

27.5

Step-by-step explanation:

To find the mean you basically just add all of the numbers then divide by how many there are.

So, for this problem, 19+22+24+45=110

110/4=27.5

Hope this helped!!

5 0
3 years ago
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