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Inessa05 [86]
2 years ago
6

(x)=4(x+3)(3x-8) in standard form

Mathematics
1 answer:
UNO [17]2 years ago
5 0

Answer:

12x² +3x = 96

Step-by-step explanation:

x = 4(x + 3)( 3x - 8)

x =  (4x + 12) (3x - 8)

x = 4x(3x - 8) + 12(3x - 8)

x = 12x² - 32x + 36x - 96

x = 12x² + (-32x + 36x) - 96

x = 12x² + 4x - 96

0 = 12x² + 4x -x - 96

0 = 12x² + 3x -96

96 = 12x² + 3x  same as 12x² +3x = 96

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Use the Law of Cosines to determine the length of the third side of the triangle.
Alchen [17]

<u>Corrected Question</u>

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of 35^\circ. Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of 35^\circ.

Using Law of Cosines

a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm

The correct option is D.

6 0
3 years ago
Consider the following system of equations 2x+3y=45 x+y=10 what is the x value of the solution for this system
scZoUnD [109]
2x + 3y = 45
x + y = 10......y = 10 - x

2x + 3(10 - x) = 45
2x + 30 - 3x = 45
-x + 30 = 45
-x = 45 - 30
-x = 15
x = -15 <====

and y = 25
3 0
3 years ago
Read 2 more answers
John collected 17 leaves to feed his caterpillar collection if he wanted to split the leaves equally amongst the four cages how
Papessa [141]

Answer:

It lies between the numbers 4 and 5

Step-by-step explanation:

If John has 17 leaves and 4 cages then he should put 17/4, or 16/4+1/4 which is 4+0.25, or 4.25 in each cage.

3 0
3 years ago
Read 2 more answers
What are the factors of 21?
skelet666 [1.2K]
The answer will be 1,3,7
8 0
3 years ago
Simplify <br>(8/14 - 2/8) + 1/7​
konstantin123 [22]

Answer:

13/28.

Step-by-step explanation:

(8/14 - 2/8) + 1/7

We can just remove the parentheses and simplify its contents:

=  4/7 - 1/4 + 1/7

= 4/7 + 1/7 - 1/4

= 5/7 - 1/4      The LCD of 7 and 4 is 28 so we have:

20/28 - 7/28

= 13/28.

7 0
3 years ago
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