Which number is irrational? 764 O 1/2 ОО ✓16 4 ✓20 5

skad [1K]

No, 40,000 has a value of 40,000

6 0

3 years ago

Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of oun

tresset_1 [31]

Answer:

Clara

Step-by-step explanation:

7 0

4 years ago

Find the distance (-2, 1) and (4,3)

natima [27]

Answer:

$2\sqrt{10}$ units

Step-by-step explanation:

The distance formula states that $D(x_{1} ,y_{1})(x_{2},y_{2} )=\sqrt{(x_{2} } -x_{1} )^2+(y_{2}-y_{1} )^2\\$ .

We then plug in our points and compute. $\sqrt{(4-(-2))^2+(3-1)^2} =\sqrt{6^2+2^2} =\sqrt{36+4} =\sqrt{40} =\sqrt{2^2*2*5} =2*\sqrt{2*5} =2\sqrt{10}$

The * represents multiplication.

7 0

3 years ago

Which expression is equivalent to (x^2 -8) - (-2x^2+4)?

Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0

4 years ago

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio

gtnhenbr [62]

9514 1404 393

Answer:

it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

$\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}$

__

Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

$\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}$

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

8 0

3 years ago