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2 years ago

Choose the equation below that represents the line that passes through the point (7, -2) and has a slope of -3

Mathematics

2 answers:

KIM [24]2 years ago

6 0

I think it’s B to be honest

Ray Of Light [21]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (7, - 2 ), thus

y - (- 2) = - 3(x - 7) , that is

y + 2 = - 3(x - 7) → B

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PLEASE HELP ITS URGENT<br> DONT GUESS<br> WILL MARK BRAINLIEST

AnnyKZ [126]

Answer:

Listed below:

Step-by-step explanation:

P: 192

A:2079

B. Area

C. Perimeter

Hope this helps :)

5 0

2 years ago

What number comes next?<br> 2,7,8,3,12,9

Ber [7]

The next number is 14 I believe

8 0

3 years ago

Read 2 more answers

Can someone please simplify ln e^4/8 showing me how to do it

Otrada [13]

Answer:

e ^1/2

Step-by-step explanation:

All you do is take the fraction (4/8) and just simplify that part

4 divided by 2 = 2

8 divided by 2 =4

I got 2/4 but I can simplify more

2 divided by 2= 1

4 divided by 2 = 2

Now I got 1/2

And I would just leave e alone so my answer is e ^1/2

Do you kinda get what im saying?

6 0

2 years ago

A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over a pulley that stands on a p

irina [24]

Answer:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

$x^{2} + y^{2} = z^{2}$

Differentiating the above equation with respect to time yields,

$2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2z\frac{dz}{dt}$

$x\frac{dx}{dt} + y\frac{dy}{dt} = z\frac{dz}{dt}$

dx/dt = 0 since dock height doesn't change

$y\frac{dy}{dt} = z\frac{dz}{dt}$

$\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}$

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

$\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}$

$\frac{dy}{dt} = \frac{13.93}{13}(2)$

$\frac{dy}{dt} = 2.14$ $ft/s$

Therefore, the boat is approaching the dock at rate of 2.14 ft/s

8 0

3 years ago

Aldrine is buying coffee for his coworkers. He orders small and large coffees. Small coffees

kipiarov [429]

Let small cups = S

Large cups = L

They bought a total of 8 cups, so S + L = 8

Rewrite as S = 8-L (1st equation)

Then you also have

$3S + $5L = $30 (2nd equation)

Replace the S in the second equation with the first equation:

$3(8-L) + $5L = $30

Simplify:

24 - 3L + 5L = 30

Combine like terms:

24+2L = 30

Subtract 24 from both sides:

2L = 6

Divide both sides by 2:

L = 3

They bought 3 large cups

Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)

Large = 3 cups, Small = 5 cups

6 0

3 years ago