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Stells [14]
2 years ago
10

8x+3-2(6+3x) when x= -6

Mathematics
1 answer:
Tatiana [17]2 years ago
3 0
8x + 3 - 2(6 + 3x)
8(-6) + 3 - 2(6 + 3(-6))
-48 + 3 - 2(6 - 18)
-48 + 3 - 2(-12)
-45 + 24
-21
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The area of a square is increasing at the constant rate of 16sq.ft./min. When the perimeter of the square is 36ft, how fast is t
bixtya [17]

Answer:

The perimeter of square is increasing by 3.76ft/min and then by 3.4 ft/min.

Step-by-step explanation:

Given that area of square is increasing at a rate of 16 sq ft/min.

Given that final perimeter is 36ft

Perimeter of a square = 4 \times side = 36

So, side, a' = 9 ft

We know that area of a square is given by the formula:

A = side^2 = a^2 (If we let side = a units)

Change in area =

a'^2 - a^2\\\Rightarrow 9^2 - a^2 = 16\\\Rightarrow 81 - 16 = a^2\\\Rightarrow a = 8.06\ ft

So, side got changed from 8.06ft to 9 ft.

So, perimeter when side was 8.06 ft:

4 \times 8.06 = 32.24\ ft

Hence, increase in the perimeter when perimeter is 36 ft is = 36 - 32.24 = 3.76 ft

For finding Next increase:

area gets changed from 81 sq ft to 81+16 = 97 sq ft

So, new side = \sqrt{97} ft = 9.85 ft

Next increase in perimeter = 4 (New side - Old side)

= 4 (9.85 - 9)

= 3.4 ft/min

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3 years ago
Using Postulates and/or Theorems, determine whether ABC~AXY.
Xelga [282]

Answer:

They are not similar

Step-by-step explanation:

To see whether the triangles are similar or not we can compare their side lengths:

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AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.

4 0
2 years ago
How many numbers are between 1 and 3 ?
kramer
If we are talking about whole numbers, the only number in between 1 and 3 is 2 but if we are talking about numbers in general, there are an infinite amount of numbers (for example, 1.1, 1.12, 1.004, and 1.80543285 are all in between 1 and 3).
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Answer:

D. Grants

Step-by-step explanation:

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3 years ago
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Show that the maximum rate of change, with respect to radius, of the volume of a deflating balloon is four times the sphere's in
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Step-by-step explanation:

Let's say R is the initial radius of the sphere, and r is the radius at time t.

The volume of the sphere at time t is:

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