Ask question

Ask question

All categories

3 years ago

7

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.

1 answer:

ohaa [14]3 years ago

3 0

Knowing that the line is parallel to another one with equation y = -2x+3, we know that the slope of this line (m) is -2. Plugging this into the point-slope equation
(y-b=m(x-a)), we get y+3=-2(x+4) as our answer.

You might be interested in

in pennsylvania the percent of sales tax is 6%, what is the sales tax on a skateboard that costs $98?

Stells [14]

Answer:

$103.88

Step-by-step explanation:

$98 + 6% is 103.88.

6 0

3 years ago

Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the an

sergij07 [2.7K]

Answer:

$D = 63.717$

Step-by-step explanation:

The details that complete the question are:

$(x_1,y_1) = (0,42.78)$

and

$(x_2,y_1)=(90,42.78)$

Required

Determine how far the ball travelled

Distance is calculated using:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values for x's and y's

$D = \sqrt{(42.78 - 0)^2+(42.78-90)^2}$

$D = \sqrt{42.78^2+(-47.22)^2$

$D = \sqrt{1830.1284+2229.7284$

$D = \sqrt{4059.8568$

$D = 63.717$

<em>Hence, the ball travelled a distance of 63.717 units</em>

6 0

3 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

PLEASE HELP NOW NOW NOW PLEASE PLEASE HELP

bija089 [108]

Answer:

$46.00

Step-by-step explanation:

$46.00 - $20 + $5 = $21

7 0

3 years ago

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 54 -3. What is the point slope

dangina [55]

Answer:

$y+13=5(x+2)$

Step-by-step explanation:

<u><em>The correct question is</em></u>

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x -3. What is the point slope form of the equation for this line?

we have

$y=5x-3$

This is the equation of the line in slope intercept form

where

the slope is $m=5$

the y-intercept is $b=-3$

Remember that

The equation of the line in point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=5$

$point\ (-2,-13)$

substitute

$y-(-13)=5(x-(-2))$

$y+13=5(x+2)$

3 0

3 years ago