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3 years ago

What is 2 1/3 + 3 1/3 -10

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

5 0

Answer:

Simplify the expression.

Exact Form:

− 13/ 3

Decimal Form:

− 4. ¯ 3

Mixed Number Form:

− 4 1/ 3

Hope this helps!

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select whether the equation has a solution or not, square root x-2- square root 2x= square root x+2 (a. roots b. no roots)

Agata [3.3K]

The equation is $\sqrt{x-2 \\ \\$ - $\sqrt{2x}$ = $\sqrt{x +2}$

Solution

Step 1:

Take square on both sides, we get

3x - 2 $\sqrt{x-2}$ $\sqrt2{x}$ -2 = x +2

Step 2:

Subtract 3x - 2 from both sides, we get

-2 $\sqrt{x-2} \sqrt{2x} = -2x + 4$

Step 3:

Again, square on both sides in order to get rid of the square root from the above equation, we get

$8x^{2}-16x = 4x^{2} -16x +16$

Now we have to simplify it,

$4x^{2} -16 = 0$

Step 4:

Now we have to solve this quadratic equation, in order to get the solution.

We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.

Reason: We get negative number in the square root.

Therefore, it has no Roots.

Answer: b) No roots

5 0

3 years ago

Solve the equation and show all work. 4|x + 1/3| = 20 i'm kind of stuck hhh

34kurt

Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, $|x|=x$ if $x\ge0$ , and $|x|=-x$ if $x$ .

For example,

|2| = 2 because the input 2 is positive, so the input is unchanged;
|-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.

What this means for this problem is that there are two cases to consider:

If $x+\frac13\ge0$ , then $\left|x+\frac13\right|=x+\frac13$ , so that

$4\left(x+\dfrac13\right)=20\implies x+\dfrac13=5\implies\boxed{x=\dfrac{14}3}$

On the other hand, if $x+\frac13$ , then $\left|x+\frac13\right|=-\left(x+\frac13\right)$ , so

$-4\left(x+\dfrac13\right)=20\implies x+\dfrac13=-5\implies\boxed{x=-\dfrac{16}3}$

6 0

4 years ago

HELPPPPP TYYY NO LINK OR ELSEWEE.. LOL

vlabodo [156]

41.12 is the answer

so the perimeter is cirumference of circle + 16

25.12 + 16

41.12 is the perimeter

8 0

3 years ago

Suppose you are going to draw two cards from a standard deck without replacement. What is the probability that the first card is

Pavel [41]

Answer:

4/663

Step-by-step explanation:

1/13 = probability of ace (as 1st card)

4/51 = probability of jack (as 2nd card) -->

4/663

5 0

3 years ago

Calculate the slope of a line that passes through the points (3, -20) and (5, 8).

Rama09 [41]

C, it is six. Welcome

8 0

3 years ago

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