Please help with 13-16. All help appreciated.

Someone thats amazing at math helppp

maksim [4K]

Answer:

4

Step-by-step explain

4 0

2 years ago

Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)

In-s [12.5K]

The solution of x in the given expression $\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}$ is 4. However, if it is $\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}$ , it is 6.

<h3>What is the solution to algebraic expression?</h3>

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

$\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}$

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

x = 11 False
x = 4 True

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

$\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}$

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

Learn more about solving to algebraic expressions here:

brainly.com/question/4344214

#SPJ1

5 0

1 year ago

! ! ! Angles ! ! !

tankabanditka [31]

Answer:

I think it is a

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

(-2, 11) & (5,6) What is the slope of the equation between these two points?

ololo11 [35]

Answer:

$m =\dfrac{-5}{7}$

Step-by-step explanation:

Given :-

Two points (-2,11) and (5,6) .

And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,

$\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}$

Here the two points are (-2,11) and (5,6) .So put on the respective values ,

$\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7}$

Hence the slope of the line is -5/7 .

8 0

2 years ago

-8(r-2)=40 what is the answer to this equation

Elena-2011 [213]

The answer is r=-3. You use the distributive property which is basically multiplying -8 with all the numbers inside the parenthesis. So -8 x r and -8 x -2. This results to -8r+16=40 (Two negative numbers multiplied together will form a positive number). We use inverse operations to subtract 16 from both sides. 16-16 is 0 and 40-16 is 24. So we are left with -8r=24. We want to be left with only r, so we once again use inverse operations to divide -8 from both sides. -8/-8 is 1, and 24/-8 is -3. So we end up with r=-3. Hope this helped :]

6 0

2 years ago