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2 years ago

Explain how the figure illustrates that 6(9) = 6(5) + 6(4)

Mathematics

1 answer:

JulijaS [17]2 years ago

5 0

What figure is the problem talking about?

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Suppose $a$ and $b$ are the solutions to the quadratic equation $2x^2-3x-6=0$. Find the value of $(a+2)(b+2)$.

Charra [1.4K]

We have that

2x²-3x-6=0
using a graph tool----------> to resolve the second order equation
see the attached figure
the solution is
x=-1.137
x=2.637

therefore
a=-1.137
b=2.637
so
(a+2)*(b+2)-----------> (-1.137+2)*(2.637+2)--------> 0.863*4.637---> 4

the answer is 4

4 0

3 years ago

Solve the system using elimination: -3x - 3y = 12 -9x + 3y = -24 The answer is not (-1,-3)

FinnZ [79.3K]

Answer:

{x = 1, y = -5

Step-by-step explanation:

Solve the following system:

{-3 x - 3 y = 12 | (equation 1)

{3 y - 9 x = -24 | (equation 2)

Swap equation 1 with equation 2:

{-(9 x) + 3 y = -24 | (equation 1)

{-(3 x) - 3 y = 12 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{-(9 x) + 3 y = -24 | (equation 1)

0 x - 4 y = 20 | (equation 2)

Divide equation 1 by 3:

{-(3 x) + y = -8 | (equation 1)

{0 x - 4 y = 20 | (equation 2)

Divide equation 2 by 4:

{-(3 x) + y = -8 | (equation 1)

{0 x - y = 5 | (equation 2)

Multiply equation 2 by -1:

{-(3 x) + y = -8 | (equation 1)

{0 x+y = -5 | (equation 2)

Subtract equation 2 from equation 1:

{-(3 x)+0 y = -3 | (equation 1)

{0 x+y = -5 | (equation 2)

Divide equation 1 by -3:

{x+0 y = 1 | (equation 1)

{0 x+y = -5 | (equation 2)

Collect results:

Answer: {x = 1 , y = -5

5 0

3 years ago

What is 2 2/3 x 3 1/3 x 2 1/3

madreJ [45]

Answer:

20 20/27

Step-by-step explanation:

(2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

_____

Additional comment

The first two numbers can be written as a difference and a sum:

= (3 -1/3)(3 +1/3)(2 1/3)

= (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

= (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

= 20 20/27

7 0

2 years ago

Thank you so much i might have failed my test if it wasn't for you thanks

antoniya [11.8K]

Answer:

okay

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

-4w+18w+2=10-6w What is w?

kiruha [24]

Answer:

w = .5

Step-by-step explanation:

-4w + 18w+2=10 -6w

14w + 2 -2 = 10 -2 -6w

14w + 2w = 8 - 2w + 2w

16w = 8

16w/16 = 8/16

w = .5

8 0

2 years ago

Read 2 more answers