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Dafna11 [192]
3 years ago
8

Hi 1-5 already done!!!!!!!!!!

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

According to tangents secant segments theorem,

11) x(16+x) = (x + 6)^2

x (16+x) = (x + 6)^2

16x + x^2 = x^2 + 2(6)(x) + 6^2

16x + x^2 = x^2 + 12x + 36

16x - 12x + x^2 - x^2 = 36

4x = 36

x = 36/4

x = 4

13) x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 2x 2(2)(x) + 2^2

x^2 + 5x = x^2 + 4x + 4

x^2 -x^2 + 5x - 4x = 4

x = 4

14) x + 8( x + 8 + 32) = (3x) ^2

x + 8(x + 40) = 9x^2

x(x + 8) + 40(x + 8) = 9x^2

x^2 + 8x + 40x + 320 = 9x^2

x^2 + 48x + 320 =9x^2

48x + 320 = 9x^2 - x^2

48x + 320 = 8x^2

Dividing the whole eq. by 8,

6x = 40 = x^2

0 = x^2 - 6x - 40

0 = x^2 - 10x + 4x - 40

0 = x(x - 10) + 4(x - 10)

x - 10 = 0 OR x + 4 = 0

x = 10 OR x = - 4

length cannot be negative, so,

x = 10

15) (x + 3) ( x + 3 + 15) = (2x) ^2

(x + 3) (x + 18) = 4x^2

x(x + 18) + 3(x + 18) = 4x^2

x^2 + 18x + 3x + 54 = 4x^2

x^2 + 21x + 54 = 4x^2

0 = 4x^2 - x^2 - 21x - 54

0 = 3x^2 - 21x - 54

Dividing the whole eq. by 3,

x^2 - 7x - 18 = 0

x^2 - 7x - 18 = 0

x^2 - 9x + 2x - 18 = 0

x(x - 9) + 2 (x - 9)

x + 2 = 0 Or x - 9 = 0

x = -2 or x = 9

length cannot be negative,so,

x = 9

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How many times can 5 go into 1620
kaheart [24]
1620/ 5 is =324
To check just multiply
5 * 324
5 0
3 years ago
At the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210
nevsk [136]

Answer:

Initial number of trees were 204.

Step-by-step explanation:

555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.

Lets say MacDonald removed 5 orange trees from his farm.

Let t be the initial number of trees

After removing 5 trees, the remaining left are t-5 trees

As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means

(t-5)210= 41790

Solving for t:

210t-1050=41790

210t=41790+1050

210t=42840

t = 204

So, initial number of trees were 204.

We can check this : 204-5=199

199\times210=41790

------------------------------------------------------------------------------------------

Working with 55 we get the wrong answer:

(t-55)210=41790

210t-11550=41790

210t=30240

t = 144

We can check this : 144-5=139

139\times210=29190  (wrong)

8 0
3 years ago
Helppppp!! im confused lol
Lady bird [3.3K]

Answer:

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Step-by-step explanation:

6 0
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How could Brent use a rectangle to model the factors of x2 – 7x + 6?
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Answer:

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Step-by-step explanation:

6 0
3 years ago
L’ost pleassseeeeeeee
Brrunno [24]

Answer: note I will just replace the Shape by an X

a) X + 9 = 9 + 6; X=6 Commutative Propertie

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Step-by-step explanation:

There are four mathematical properties which involve addition. Commutative, associative, additive identity and distributive properties.

Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.  

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.  

Additive Identity Property: The sum of any number and zero is the original number.  

Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.  


5 0
3 years ago
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