Answer:
a=±5
Step-by-step explanation:
25=5^2
Given that, x^2−10x+25=x^2−10x+5^2
Identity: a^2−2(ab)+b^2=(a-b)^2
Here, a=x and b=5
∴=(x−5)^2
Hope this helps
Answer:
The doomsday is 146 days
<em></em>
Step-by-step explanation:
Given

First, we calculate the solution that satisfies the initial solution
Multiply both sides by



Take integral of both sides



Integrate


To find c; let t= 0



Substitute
in 

Multiply through by -c

Take exponents of 
![y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}](https://tex.z-dn.net/?f=y%5E%7B-c%2A-c%5E%7B-1%7D%7D%20%3D%20%5B-ckt%2By_0%5E%7B-c%7D%5D%5E%7B-c%5E%7B-1%7D)
![y = [-ckt+y_0^{-c}]^{-c^{-1}](https://tex.z-dn.net/?f=y%20%3D%20%5B-ckt%2By_0%5E%7B-c%7D%5D%5E%7B-c%5E%7B-1%7D)
![y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}](https://tex.z-dn.net/?f=y%20%3D%20%5B-ckt%2By_0%5E%7B-c%7D%5D%5E%7B-%5Cfrac%7B1%7D%7Bc%7D%7D)
i.e.
![y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}](https://tex.z-dn.net/?f=y%28t%29%20%3D%20%5B-ckt%2By_0%5E%7B-c%7D%5D%5E%7B-%5Cfrac%7B1%7D%7Bc%7D%7D)
Next:
i.e. 3 months
--- initial number of breeds
So, we have:
![y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}](https://tex.z-dn.net/?f=y%283%29%20%3D%20%5B-ck%20%2A%203%2B2%5E%7B-c%7D%5D%5E%7B-%5Cfrac%7B1%7D%7Bc%7D%7D)
-----------------------------------------------------------------------------
We have the growth term to be: 
This implies that:

By comparison:


--- 16 rabbits after 3 months:
-----------------------------------------------------------------------------
![y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}](https://tex.z-dn.net/?f=y%283%29%20%3D%20%5B-ck%20%2A%203%2B2%5E%7B-c%7D%5D%5E%7B-%5Cfrac%7B1%7D%7Bc%7D%7D)
![16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}](https://tex.z-dn.net/?f=16%20%3D%20%5B-0.01%20%2A%203%20%2A%20k%20%2B%202%5E%7B-0.01%7D%5D%5E%7B%5Cfrac%7B-1%7D%7B0.01%7D%7D)
![16 = [-0.03 * k + 2^{-0.01}]^{-100}](https://tex.z-dn.net/?f=16%20%3D%20%5B-0.03%20%2A%20k%20%2B%202%5E%7B-0.01%7D%5D%5E%7B-100%7D)
![16 = [-0.03 k + 0.9931]^{-100}](https://tex.z-dn.net/?f=16%20%3D%20%5B-0.03%20k%20%2B%200.9931%5D%5E%7B-100%7D)
Take -1/100th root of both sides






Recall that:

This implies that:

Make T the subject

Substitute:
,
and 




<em>The doomsday is 146 days</em>
Answer:
a = 1.5
VW = 9 ft
Step-by-step explanation:
Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:
a + 4 = a² + 0.25 Set equal
a² - a = 3.75 Isolate a values
a² - a + 0.25 = 3.75 + 0.25 Complete the square
(a + 0.5)² = 4 Factor
a + 0.5 = 2 Simplify
a = 1.5
Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:
((1.5) + 7.5) ft
9 ft
Answer:
2
Step-by-step explanation:
[(27divided by (-3)-9] divided by [15-21}
=[-9-9] divided by 3
= 6divided by 3 = 2
<h2><u><em>
if answer is correct so mark me as brain lest :-)</em></u></h2>
<u><em></em></u>
The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.
<h3>What is the dimension of length and width?</h3>
We know that,
P = l + 2w
50 = l + 2w
50 - 2w = l
A = l x w
288 = (50 - 2w)w
288 = 50w -2w²
2w² - 50w + 288
By dividing throughout by 2
w² - 25w + 144
This is in quadratic equation form.
By applying quadratic formula,
w = (-(-25) ±
) / 2
w = (-(-25) ± 7)/2
w1 = (-(-25) + 7)/2
w1 = (25 + 7) / 2
w1 = 16
w2 = (-(-25) - 7)/2
w2 = (25 - 7) / 2
w2 = 9
By substituting the values in eq1,
A = l x w
if w = 16
288 = l x 16
l = 288/16
l = 18
if w = 9
288 = l x 9
l = 288/9
l = 32
The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.
To learn more about area of rectangle refer to :
brainly.com/question/25292087
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