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2 years ago

HELP PLEASE!!!!!! will give brainliest

Mathematics

1 answer:

mamaluj [8]2 years ago

4 0

Answer:

Step-by-step explanation:

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Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equati

Brrunno [24]

Remember that an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.

Lets solve our equation to find out what is the extraneous solution:
 $\sqrt{x-3} =x-5$
$(\sqrt{x-3})^2 =(x-5)^2$
$x-3=x^2-10x+25$
$x^2-11x+28=0$
$(x-4)(x-7)=0$
$x-4=0$ and $x-7=0$
$x=4$ and $x=7$

So, the solutions of our equation are $x=4$ and $x=7$ . Lets replace each solution in our original equation to check if they are valid solutions:
- For $x=7$
$\sqrt{x-3} =x-5$
$\sqrt{7-3} =7-5$
$\sqrt{4} =2$
$2=2$
We can conclude that 7 is a valid solution of the equation.

- For $x=4$
$\sqrt{x-3} =x-5$
$\sqrt{4-3} =4-5$
$\sqrt{1} =1$
$1 \neq 1$
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.

We can conclude that the correct answer is: D. the extraneous solution is x = 4

7 0

2 years ago

(15pts) factor each completly

Natali [406]

Your answers:

10) (m+7)(m+8) 11) (b-10)(b+2)

12) (k-4)(k+10) 13) (n-9)(n-8)

14) (7r+3)(r-2) 15) (5a+6)(a+2)

Hope it helps

5 0

2 years ago

Read 2 more answers

Can you help me with these too? its for a geometry final practice plisss

Rainbow [258]

Answer:

I think A and C

Step-by-step explanation:

Im srry if its wrong, but my older sister says that its A and C

6 0

2 years ago

Read 2 more answers

Convert the complex number z = -12 + 5i from rectangular form to polar form.

Paha777 [63]

Answer:

$z=13(\cos 157\degree +i\sin157\degree)$

Step-by-step explanation:

The given complex number is

$z=-12+5i$

The polar form of this complex number is;

$z=r(\cos \theta +i\sin \theta)$ , where

$r=\sqrt{(-12)^2+5^2}$

$r=\sqrt{144+25}=\sqrt{169}=13$

and

$\theta =\tan^{-1}(\frac{5}{-12})$

This implies that;

$\theta=157\degree$ to the nearest degree.

Hence the polar form is

$z=13(\cos 157\degree +i\sin157\degree)$

7 0

3 years ago

Ben is going to make 1/4 pound burgers for a barbecue next weekend. He is planning on making 19 burgers. How much hamburger meat

Monica [59]

Answer:

4.75 pounds of hamburger meat

Step-by-step explanation:

In order to calculate the total amount of hamburger meat that Ben would need we would need to multiply the total number of burgers that he wants to make (19) by the amount of meat each burger will use (1/4 pound or 0.25 pound). Therefore, we would do the following...

19 * 0.25 = 4.75 pounds

Finally, we can see that Ben would need a total of 4.75 pounds of hamburger meat to make 19 equal sized 1/4 pound burgers.

4 0

2 years ago