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2 years ago

Hello I am once again asking for help ASAP

Mathematics

1 answer:

nadezda [96]2 years ago

3 0

Answer:

23.7°

Step-by-step explanation:

To obtain the value of AB ; Use the cosine rule ;

Recall:

c² = a² + b² - 2ab Cos C

c² = 24² + 11² - 2*24*11 Cos75

c² = 576 + 121 - 528 * 0.2588190

c² = 697 - 136.656432

c² = 560.343568

c = sqrt(560.343568)

c = 23.6715

Hence, c = AB = 23.7°

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8xy= 2(2x + y) solve for y

STatiana [176]

Answer: $\displaystyle y= \frac{2\text{x}}{4\text{x} - 1}$

============================================

Work Shown:

$8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\$

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

Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

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2 years ago

1. Which would be a more helpful for solving the system: adding the two equations or subtracting

ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

$\frac{2x+1}{2y}=7\\\\$

Equation 2:

$\frac{6x-1}{2y}=5$

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y$

Now for the second equation:

$\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y$

Now subtracting equation 2 from equation 1

$12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y$

now insert this value of y into any equation

lets insert it into equation 1

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375$

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3 years ago

John received $50.00 from his aunt for his birthday and wants to buy a new video game with the money. The total cost of the v

harkovskaia [24]

Answer:

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Step-by-step explanation:

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2 years ago

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Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =

dedylja [7]

Answer:

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago