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natta225 [31]
2 years ago
13

Find the rate of change between (4, 0) and (6, 1).

Mathematics
1 answer:
mestny [16]2 years ago
6 0

Answer: 0.5.

Step-by-step explanation:

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Multiply 6/5 by the reciprocal of (-3/8)
weeeeeb [17]

Answer:

-48/15, simplified to -16/5

Step-by-step explanation:

The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.

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2 years ago
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How is the graph of y=(x-1)2 - 3 transformed to produce the graph of y=
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The graph is stretched vertically by a factor of ½, translated left 5 units, and translated up 3 units.

7 0
2 years ago
? the coordinates of a, b, c, and d are a (-6, 1), b (-9, 4), c (-1, 1), and d (-7, 6). how are ab←→ and cd←→ related? they are
balandron [24]
AB :
(-6,1)(-9,4)
slope = (4 - 1) / (-9 - (-6) = 3 / -3 = - 1

CD:
(-1,1)(-7,6)
slope = (6 - 1) / (-7 - (-1) = -5/6

different slopes....slopes are not negative reciprocals...means they are not perpendicular, parallel, or coincident. These lines will intersect at one point.
4 0
3 years ago
A forest covers 51,000 acres. A survey finds that ​0.6% of the forest is​ old-growth trees. How many acres of​ old-growth trees
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3 years ago
Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for i
lara31 [8.8K]

Answer:

<em>The area of the shaded part  = 61.46</em>

<em />

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: c^{2} =a^{2} +b^{2} =(2\sqrt{5}) ^{2} + (4\sqrt{5}) ^{2} = 20 + 80 = 100

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

  • The total area of 2 semi circles is equal to the area of the circle with radius =5

    => The total area of 2 semi circles is: \pi x 5^{2} = 25\pi

  • The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x 2\sqrt{5\\ x 4\sqrt{5} = 20

    => The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

  • The area of the square is: c^{2} = 10^{2} =100

It can be seen that:

<em>The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles </em>

<em>= 100 -  25</em>\pi<em> + 40 = 61.46</em>

6 0
2 years ago
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