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3 years ago

Round 200 t0 the nearest hundred

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

To the nearest hundred it is 100.

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Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides
$2x+2y \space\ \frac{dy}{dx}=0$
solve for $\frac{dy}{dx}$
minus 2x both sides
$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
$\frac{dy}{dx}=\frac{-2x}{2y}$
$\frac{dy}{dx}=\frac{-x}{y}$

when is the slope equal to $\frac{5}{12}$
solve for $\frac{dy}{dx}=\frac{5}{12}$
$\frac{dy}{dx}=\frac{5}{12}$
$\frac{5}{12}=\frac{-x}{y}$
$5y=-12x$
$y=\frac{-12}{5}x$
find where the circle and this line intersects

substitute $\frac{-12}{5}x$ for y
$x^2+(\frac{-12}{5}x)^2=676$
$x^2+\frac{144}{25}x^2=676$
$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
$\frac{169}{25}x^2=676$
times both sides by $\frac{25}{169}$
$x^2=100$
sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
$y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}$
$y=-24 \space\ or \space\ 24$

the points are (10,-24) and (-10,24)

8 0

3 years ago

What is the slope of the line represented by the equation (y-6)=1/4(x-0)

Katena32 [7]

1/4, always the number in front of the parentheses when written in point slope gorm

7 0

4 years ago

Suppose you can work a total of no more than 38 hours each week at your two jobs. Housecleaning pays $7 per hour and your retail

MA_775_DIABLO [31]

Answer:

The system of inequalities is:

7x + 8y ≥ 280

x + y ≤ 38

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Amount of weekly hours you can work, no more than 38 hours (≤ 38)

Rate at housecleaning per hour = US$ 7

Rate at retail job per hour = US$ 8

Salary per week, at least US$ 280 (≥ 280)

2. Complete the system of linear inequalities to model this situation.

x = Number of hours per week worked at housecleaning job

y = Number of hours per week worked at retail job

Now, we have:

7x + 8y ≥ 280 (Total of salary of the two jobs should be at least US$ 280), where 7x is the salary received from housecleaning job and 8y is the salary received from retail job

x + y ≤ 38 (You can't work more than 38 hours per week)

5 0

4 years ago

Read 2 more answers

Given: 3 answer this: --

12345 [234]

The answer is... wait i’ll just send a picture for it