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3 years ago

For the equation 4(2x-4)=8x+k, what value of K will create an equation with infinitely many solutions? Please show steps

2 answers:

6 0

If you use the distributive property, you will multiply 4 by 2x to get 8x and 4 by -4 to get -16.

8x-16=8x+k

If you want infinitely many solutions the equations on both sides of the equal sign need to be the same. So, k would need to be -16.

alina1380 [7]3 years ago

3 0

Hello!

Getting infinitely many solutions from an equation would be getting a solution that is true but does not include the value of a variable. An example of getting an equation with infinite solutions would be 1=1, or 15.6=15.6.

Let's try to get the same thing on both sides of the equation.

8x-16=8x+k

If we want to get the other side to equal 8x-16, we will need to have k=-16.

8x-16=8x-16

Therefore, our value of k is -16.

I hope this helps!

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-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

Original Equation :
$\frac{-3}{v} = -6$

New Equation {Added Multiply Both Sides by V} :
$\frac{-3}{v} v=-6v$

Solution {New Equation Solved} :
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

Old Equation :
$-3 = -6v$

New Equation {Switched} :
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

Old Equation :
$-6v = -3$

New Equation {Added Divide Both Sides by V} :
$\frac{-6v}{v} = \frac{-3}{v}$

Solution {New Equation Solved} :
$v = \frac{1}{2}$

So, this means that in the equation $\frac{-3}{v} =-6$ , $v = \frac{1}{2}$ .

Hope this helps!

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nikdorinn [45]

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3 years ago

Read 2 more answers

Please answer 3-6 and show work

GuDViN [60]

Answer:

3. 10 - 5 is 5. so that is the difference. difference means subtraction.

4. 108 - 30 = 78. so she can move 78 degrees miore after therapy because 108 minues 30 is 78

5. 99 because 180 - 81 = 99. there is always 180 degrees in a line angle.

6. 130 degrees. 25 + 25 = 50 so 180 minus 50 equals 130

Step-by-step explanation:

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4 years ago

Drag the tiles to the correct boxes to complete the pairs.

erastova [34]

Answer:

√8 ==> 2 units, 2 units

√7 ==> √5 units, √2 units

√5 ==> 1 unit, 2 units

3 ==> >2 units, √5 units

Step-by-step explanation:

To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)

Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.

=>√5 units, √2 units

c² = (√5)² + (√2)²

c² = 5 + 2 = 7

c = √7

The hypothenuse length that matches √5 units, √2 units is √7

=>√3 units, 4 units

c² = (√3)² + (4)²

c² = 3 + 16 = 19

c = √19

This given pair of legs doesn't match any given hypotenuse length

=>2 units, √5 units

c² = (2)² + (√5)²

c² = 4 + 5 = 9

c = √9 = 3

legs 2 units, and √5 units matche hypotenuse length of 3

=>2 units, 2 units

c² = 2² + 2² = 4 + 4

c² = 8

c = √8

Legs 2 units, and 2 units matche hypotenuse length of √8

=> 1 unit, 2 units

c² = 1² + 2² = 1 + 4

c² = 5

c = √5

Leg lengths, 1 unit and 2 units match the hypotenuse length, √5

3 0

3 years ago