Which rational number equals 0.5?<br> 01<br> 50<br> 1<br> 5<br> 5<br> 10<br> 5<br> 9

(20 points and brainlest to whoever answers correctly!!!)

Stells [14]

Answer:

y = -2/3x - 11

Step-by-step explanation:

Steps to find the perpendicular bisector:

1) Find the midpoint of line PQ

Midpoint formula: ( $\frac{x_{1} + x_{2} }{2} \\$ , $\frac{y_{1} + y_{2}}{2}$ )

Midpoint of line PQ = (6, -2)

2) Find the slope of line PQ

Slope formula: $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Slope of line PQ = 3/2

3) Find the negative reciprocal of the slope of PQ

To find the negative reciprocal just swap the numerator and denominator and add a negative sign. If it is already negative it will become positive.

In this case it will be -2/3

4) Write the equation of line PQ in slop-intercept form.

Slope-intercept form: y = mx + b

This is what it will look like for line PQ: y = $\frac{3}{2}$ x + b

5) Plug the points of the midpoint into the line and solve for the intercept (b)

This is what it will look like: -2 = $\frac{3}{2}$ (6) + b

-2 = 18/2 + b

-2 = 9 + b

-11 = b

6) Write the equation of the perpendicular bisector

m = the negative reciprocal of the slope of PQ = -2/3

This is what the equation will look like: y = -2/3x - 11

Hope this helped! Please give Brainliest!

5 0

3 years ago

Use the chain rule to find dw/dt. w = ln x2 + y2 + z2 , x = 7 sin(t), y = 9 cos(t), z = 6 tan(t)

DENIUS [597]

By the chain rule,

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

We have

$\dfrac{\partial w}{\partial x}=\dfrac{2x}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial y}=\dfrac{2y}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac{2z}{x^2+y^2+z^2}$

$\dfrac{\mathrm dx}{\mathrm dt}=7\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-9\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=6\sec^2t$

So we have

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac2{x^2+y^2+z^2}\left(7x\cos t-9y\sin t+6z\sec^2t\right)$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{2\left(49\sin t\cos t-81\cos t\sin t+36\tan t\sec^2t\right)}{49\sin^2t+81\cos^2t+36\tan^2t}$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{8\sin t(9-16\cos^4t)}{\cos t(36+13\cos^2t+32\cos^4t)}$

3 0

4 years ago

Kareem lives 4/10of a mile from the mall . write equivalent fractions that show what fraction of a mile karen lives from the mal

Slav-nsk [51]

You just have to simplify it by two 2/5 8/20

6 0

3 years ago

Solve this problem T=u+v/2 solve for u

AfilCa [17]

Answer:

$T = \frac{u + v}{2}$

Cross multiply

We have

2T = u + v

u + v = 2T

Move v to the right side of the equation to make u stand alone

We have the final answer as

Hope this helps you

5 0

3 years ago

Solve the following problem. Choose the correct answer.Sam's Discount Store offers a 2% discount for paying cash. How much would

Alex

Answer:

She would pay <u>$38.17</u>.

The correct answer is B.) 38.17

Step-by-step explanation:

Given:

Sam's Discount Store offers a 2% discount for paying cash.

A set of skillets priced at $38.95.

Now, to find the amount Joan would pay cash for a set of skillets.

Cost price of skillets = $38.95.

Discount rate = 2%.

Now, to get the price after discount:

$38.95-2\%\ of\ 38.95\\\\=38.95-\frac{2}{100}\times 38.95\\\\=38.95-0.02\times 38.95\\\\=38.95-0.78\\\\=38.17.$

Therefore, she would pay $38.17.

The correct answer is B.) 38.17

5 0

4 years ago

Which rational number equals 0.5? 01 50 1 5 5 10 5 9