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VladimirAG [237]
3 years ago
14

In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)

Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:

(x+5i)(x-5i)

Step-by-step explanation:

We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.

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H = -16t2 + 64t + 80 Determine the maximum height of the rocket. Show your work.
Lesechka [4]
H = -16t² + 64t + 80 (:16)
H = -t² + 4t + 5
/\ = b²-4ac
/\ = 4²-4.(-1).5
/\ = 16+20
/\ = 36
Yv = -/\ / 4a
Yv = -36/4.(-1)
Yv = -36/-4
Yv = 9
3 0
3 years ago
Mandy is building a rectangular garden pond with the area of 12ft^2. The length of pool needs to be 2 ft more than twice the wid
Genrish500 [490]

The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Step-by-step explanation:

Given,

Area of rectangular pool = 12 square feet

Let,

Width of pool = w

Length of pool = l = 2w+2

Area = Length * Width

12=(2w+2)*w\\12=2w^2+2w\\2w^2+2w-12=0

Dividing each term by 2;

\frac{2w^2}{2}+\frac{2w}{2}-\frac{12}{2}=0\\w^2+w-6=0\\w^2+3w-2w-6=0\\w(w+3)-2(w+3)=0\\(w+3)(w-2)=0\\

Either,

w+3 = 0       => w=-3

Or,

w-2=0          =>w=2

As width cannot be negative, therefore,

Width of rectangular pool = 2 ft

Length of rectangular pool = 2w+2 = 2(2)+2 = 4+2 = 6 ft

The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Keywords: rectangle, area

Learn more about areas at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

7 0
3 years ago
How many consecutive zeros are there at the end of the expansion of 1,000 factorial?
Masja [62]
249 Zeros in the expansion of 1,000
3 0
3 years ago
Read 2 more answers
Xanthe and Sarah do some fundraising for their local nursing home. Together they raised $$$302. If Xanthe raised $$$102 more tha
Dimas [21]

Given :

Xanthe and Sarah together raised $302 .

If Xanthe raised $102 more than Sarah .

To Find :

The amount raised by Sarah .

Solution :

Let , amount raise by Sarah is x .

So , by the relation given , price raised by Xanthe is 102 + x .

Now , sum of their amount raised is :

x+(x+102)=302\\\\2x=302-102\\\\x=\$100

Therefore , the amount raised by Sarah is $100 .

Hence , this is the required solution .

6 0
3 years ago
Find the exact value of T Image below
Elanso [62]

Answer:

a) 1/800 or 0.00125

b) i) 0.0013

ii) 0.001

c) 60%

Step-by-step explanation:

T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)

T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)

T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600

T = (3-1)/1600

T = 2/1600

T = 1/800

T = 0.00125

Error: 0.002 - 0.00125

0.00075

%error

0.00075/0.00125 × 100

60%

4 0
3 years ago
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