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Leno4ka [110]
2 years ago
14

Can someone please help me ASAP

Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

The rate of change of the submarine is 8ft/s

<h3>Rate of change of expression</h3>

The rate of change of a function is also known as the slope with the formula

Rate of change = f(b)-f(a)/b-a

Using the coordinate points (0, 460) and (18, 604)

b = 18

a = 0

f(a) = 460

f(b) = 604

Substitute

Rate of change  = 604-460/18-0
Rate of change = 144/18

Rate of change = 8ft/s

Hence the rate of change of the submarine is 8ft/s

Lear more on rate of change here: brainly.com/question/8728504

#SPJ1

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Triangle ABC has vertices at A(2 , 2), B(4, 7), and C(6, 2). Classify the triangle according to the side lengths
Kryger [21]

There's an equation to find the length between 2 points on a plane.

√[(2-4)2 + (2-7)2] = √29

√[(4-6)2 + (7-2)2] = √29

√[(2-6)2 + (2-2)2] = 4

Therefore, Triangle ABC is an iscoceles triangle!

7 0
4 years ago
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3 years ago
The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented
Alex73 [517]

The absolute value functions that contains the points are:

  • f(x) = |x| + 2
  • f(x) = |-x| + 2

<h3>Which could be the function represented by this graph?</h3>

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

  • f(-3) = |-3| + 2 = 5   so it has the point (-3, 5)
  • f(0) = |0| + 2 = 2  so it has the point (0, 2)
  • f(3) = |3| + 2 = 5  so it has the point (3, 5).

The other option that also contains these 3 points is:

f(x) = |-x| + 2

  • f(-3) = |3| + 2 = 5  so it has the point (-3, 5)
  • f(0) = |-0| + 2 = 2  so it has the point (0, 2)
  • f(3) =  |-3| + 2 = 5  so it has the point (3, 5).

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

  • f(x) = |x| + 2
  • f(x) = |-x| + 2

If you want to learn more about absolute value functions:

brainly.com/question/3381225

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4 0
2 years ago
Left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub. If it takes the hot water
mario62 [17]

Answer:

\frac{15}{2}=7.5 minutes.

Step-by-step explanation:

Let t represent time taken by cold water faucet in minutes to fill the tub.

Part of tub filled by cold water faucet in one minute would be \frac{1}{t}.

We have been given that it takes the hot water faucet 15 minutes to fill the tub by itself, so art of tub filled by hot water faucet in one minute would be \frac{1}{15}.

We are also told that left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub, so part of tub filled by both faucets in one minute would be \frac{1}{5}.

We can represent part of tank filled by both faucets in one minute as:

\frac{1}{15}+\frac{1}{t}=\frac{1}{5}

\frac{1}{15}\cdot 15t+\frac{1}{t}\cdot 15t=\frac{1}{5}\cdot 15t

t+15=3t

t-t+15=3t-t

15=2t

2t=15

\frac{2t}{2}=\frac{15}{2}

t=7.5

Therefore, it will take 7.5 minutes for the cold water faucet to fill the tub alone.

8 0
3 years ago
Complete the point-slope equation of the line through (6,4)and (7,2)
kotykmax [81]
The slope is the change in y over the change in x, so it's (4-2)/(6-7)=2/-1=-2. Point slope form is y<span> – </span>y1<span> = </span>m(x<span> – </span>x1<span>), so we can plug in a point (6,4) to get 
y-6=-2(x-4)</span>
3 0
4 years ago
Read 2 more answers
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