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Margarita [4]
3 years ago
5

Find the distance between the two points.

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

\sqrt{40}

Step-by-step explanation:

Calculate the distance using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = (3, 0 )

d = \sqrt{(3-(-3))^2+(0-2)^2}

   = \sqrt{(3+3)^2+(-2)^2}

   = \sqrt{6^2+4}

   = \sqrt{36+4}

   = \sqrt{40}

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Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 16 + 2x − x^2, [0, 5]
RSB [31]

Answer:

<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>

Step-by-step explanation:

To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.

at x = 0;

f(0) =  16 + 2(0) − 0²

f(0) = 16

at the other end point i.e at x = 5;

f(5) =  16 + 2(5) − 5²

f(5) = 16 + 10-25

f(5)= 26-25

f(5) = 1

The absolute minimum value is 1  and  occurs at x  = 5

The absolute maximum value is 16 and  occurs at x  = 0

5 0
3 years ago
What is the length of AC?
natima [27]

7/x = 84 / (156 -x)
84x = 7(156 -x)
84x = 1092 - 7x
91x = 1092
x = 12

AC = 156 - 12 = 144

answer
D. 144
3 0
3 years ago
Tom has a gift box that is 3 units long, 6 units wide, and 12 units tall. What is the volume of the gift?
Kryger [21]

Answer:

216

Step-by-step explanation:

LxWxH fill it in 3x6x12=216

5 0
3 years ago
Please help me to solve this​
ser-zykov [4K]

Answer:

a) 15m²

b) 750cm³

Step-by-step explanation:

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2.5x6=15

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15=20x

x=15/20

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8 0
3 years ago
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mezya [45]

Answer:

ok

Step-by-step explanation:

7 0
3 years ago
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