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2 years ago

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3

Mathematics

2 answers:

Svetach [21]2 years ago

6 0

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

please mark me as brainlest

Natali [406]2 years ago

3 0

Answer: y-2=1/3(x-3), which is Choice [B]

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem! (:

First, do you remember what the "point-slope" formula is? It's

y-y1=m(x-x1)

Now it's just a matter of sticking in the known values.

y-2=1/3(x-3)

Voila! There's our solution, cheers! (:

Hope that this helped! Best wishes.

$\bigstar\underbrace$

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Superman needs to save Lois from the clutches of Lex Luther. After flying for 15 seconds, he is 2100 meters from her. Then at 18

posledela

Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

"at 18 seconds he is 1980 meters from her" tells us we have a second point (x,y) = (18,1980)

--------

Find the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (1980-2100)/(18-15)

m = (-120)/(3)

m = -40

The slope is -40 which means Superman is getting 40 meters closer each second. I.e, the distance is dropping 40 meters per second

--------

Use one of the points and the slope to find the y intercept b

y = mx+b

2100 = (-40)*15 + b

2100 = -600 + b

2100+600 = b

b = 2700

This is the starting distance Superman is away from Lois

--------

Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

---------

<h3>Final Answer: m = -40s+2700</h3>

============================================

Part B

Plug s = 6 into the equation we found for part A. Then simplify.

m = -40s+2700

m = -40*6+2700

m = -240+2700

m = 2460

---------

<h3>Final Answer: 2460 meters</h3>

7 0

2 years ago

Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu

irina [24]

Answer:

The function is represented by $C(d) = 75\,USD + r\cdot d$ .

Step-by-step explanation:

In this case, we must observe that total cost of the dog ( $C(d)$ ) is the sum of two components: i) <em>Fixed cost</em> ( $C_{f}$ ) - Adoption fee, ii) <em>Variable cost</em> ( $C_{v}$ ) - Daily cost of feeding the dog, both measured in US dollars.