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3 years ago

Find the distance between the two points in simplest radical form. (8, -3) (6, -8)

Mathematics

1 answer:

arsen [322]3 years ago

4 0

Answer:

$d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (8, -3)

Point (6, -8)

Step 2: Find distance d

Substitute: $d = \sqrt{(6-8)^2+(-8+3)^2}$
Subtract/Add: $d = \sqrt{(-2)^2+(-5)^2}$
Exponents: $d = \sqrt{4+25}$
Add: $d = \sqrt{29}$

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4. Celina babysat for 5 hours and earned $27. what's her pay per hour?

Elenna [48]

Celina earns $5.4 per hour.

6 0

2 years ago

While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price

shepuryov [24]

Answer:

$4.34

Step-by-step explanation:

Given the information:

The original price: $5
Discount : 20%
Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

4 0

2 years ago

The bottom of a cylindrical container has an area of 10 cm². The container is filled to a height whose mean is 5 cm, and whose s

disa [49]

Answer:

μv = $50 cm^{3}$

σv= $3 cm^{3}$

Step-by-step explanation:

Volume is found by multiplying the area and height. Since we're given both area and height of 10 and 5 cm respectively then

μv =A.h= 10*5= 50 cm^{3}

The standard deviation of the volume will be

σv= 0.3*10= $3 cm^{3}$

5 0

3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

Solve 2=x-16 I cant figure it out

soldier1979 [14.2K]

Answer: x=18

Step-by-step explanation:

2=x-16

18=x

you solve this by adding -16 to -16 and 2, and then there's nothing else to do.

3 0

3 years ago

Read 2 more answers