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ololo11 [35]
3 years ago
10

Diagram I shows a triangle with a foot length of 4ycm and a height (y +5). Figure 2 shows a square with a length of y cm. Given

the area of ​​the triangle exceeds the rectangle by 39cm ^ 2. Calculate the perimeter of the two diagrams.
P.s. Yes I am not from the United Kingdom but I sincerely need help with my homework please please help me

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

Area of ​​equilateral triangle:36cm

Square area:12cm

Step-by-step explanation:

We need to find the corresponding relationship, it is not difficult to find that this is a simple quadratic function problem.

I used pictures to express the process. You can click to view. I'm not English either. I'm Chinese, but I believe that academics know no boundaries.

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A blue spruce grows an average of 6 inches per year and a hemlock grows an average of 4 inches per year.
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It will take 12 years for the trees to be at the same height.

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3 years ago
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Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a
Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

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Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0       (1)

f'(1) = 0 leads 3a + 2b + c = 0           (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3    (3)

f(1) = 0 leads a + b + c + d = 0        (4)

(1) - (2):   24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4)   -28a + 8b - 4c = 3    (5)

(1) * 4 + (5):  80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

So

f(x) = (3x³ + 9x² - 27x + 15)/32

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9 or B

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156 is 60% of what number
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156x .6 = 93.6
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