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2 years ago

WHY DOES SOLVING RADICAL EQUATIONS NEED A DIFFERENT PROCESS? HOW DO EXTRANEOUS SOLUTIONS ARISE FROM RADICAL EQUATIONS?

1 answer:

6 0

Solving radical equations are different because you would want to get everything in the equation to rational numbers.
Extraneous solutions arise when you manipulate the equation. After manipulating if a solution is found that can not satisfy the original equation(s).

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Find the slope of the line

Elza [17]

Answer:

-3'1

-6'1

Step-by-step explanation:

the bottom left and top right are always going to be negative. The right top and bottom are positive numbers. so the answer is -3'1 for the first top one then the second bottom dot is -6'1

8 0

2 years ago

I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!

frutty [35]

Answer:

17) x=8

18) $x=\sqrt{189}$ or $x= 3\sqrt{21}$

Step-by-step explanation:

So the rule is $a^{2} +b^{2} =c^{2}$ , "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

$x^{2} +x^{2} =(8\sqrt{2}) ^{2}$

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)

$2x^2=8^2(\sqrt{2} )^{2}$

$2x^2=64(2)$

$2x^2=128$

$x^{2}= 128/2$

$x^{2} =64$

x=8

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

$c^{2} - b^{2} = a^{2}$

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

$15^{2} -6^{2} =x^{2}$

$225-36=x^{2}$

$x^{2} =189$

$x=\sqrt{189}=3\sqrt{21}$

The more you do these, the easier they'll get, so don't worry!

4 0

3 years ago

A bottle full of liquid has a total mass of 1.27kg.

Vinvika [58]

Answer:

Step-by-step explanation:

Let “x” be the weight of the bottle and “y” is weight of honey.

We know the total weight of bottle full of honey is 1000 g.

So Equation 1 is x + y = 1000 g

And with half of the honey, we know the total weight is 600g.

Equation 2: x + (y/2) = 600 g

y/2=600 - x

y= 2 (600 - x)

y= 1200 - 2x

We can replace “y” with 1200 - 2x in Equation 1:

x + 1200 - 2x = 1000

x = 200 g

Weight of the bottle is 200 g.

6 0

2 years ago

Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant ra

lora16 [44]

Answer:

2.9 litres

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

$2\frac{1}{5}$ ÷ $\frac{3}{4}$

$\frac{11}{5}$ × $\frac{4}{3}$ = $\frac{44}{15}$ = 2 $\frac{14}{15}$ litres

7 0

2 years ago

what is the probability of having one girl and three boys in a 4 child family assuming boys and girls are equally likely

lara31 [8.8K]

The possibilities are:

bbbb

bbbg

bbgg

bggg

This shows that there is a 1 in 4 chance of having three boys and one girl

So the answer could be 1/4 or a 25% chance

5 0

3 years ago