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Nastasia [14]
3 years ago
15

Which line is perpendicular to the line y= -1/3 x - 2 and passes through the point (1,4)?

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

y = 3x + 1

Step-by-step explanation:

y= -1/3x

perpendicular so y = 3x + b

the line goes through (1,4), so substitute to find the value b , which is where the line intersects with the y axis.

4 = 3*1 +b

so b = 1

y = 3x + 1

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Find the absolute maximum of m(t)=t^3-12t^2-144t and justify your answer​
ruslelena [56]

Answer:

Step-by-step explanation:

m(t)=t³-12t²-144t

Take the derivative of t:

t'=3t²-24t-144

Set it to 0:

3t²-24t-144=0

Solve for t:

t²-8t-48=0

(t-12)(t+4)=0

t=12 or -4

On a graph, you'll find that the maximum value occurs at t=-4 ..............

3 0
3 years ago
Solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to 3 by 4 + 2 by 243 raise to 1 by 5​
olchik [2.2K]

Answer:

214....

Step-by-step explanation:

If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5​

The given expression can be written as:

4/(216)-2/3+1/(256)-3/4+2/(243)-1/5

This expression has three terms.

Notice that the exponents are negative:

We will change the division into multiplication so that the exponents will become positive;

4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5

If we multiply 6 three times it will give us 6^3=6*6*6=216

If we multiply 4 four  times it will give us 4^4=4*4*4*4=256

If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243

So we will write it as:

=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5

=4(6)^2+(4)^3+2(3)

=4*36+64+6

=144+64+6

=214

The answer is 214....

7 0
3 years ago
What is x in 2x − 3 + 4x = 21
Serggg [28]

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

x = 4

7 0
2 years ago
Read 2 more answers
P + 0.20p as an equivalent expression
andreev551 [17]

Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

5 0
3 years ago
The fastest train on earth is Maglev, a Japanese train which runs at a
CaHeK987 [17]

Answer:

167.2 m/sec

Step-by-step explanation:

Convert 602 km/hr to m/sec, as follows:

602 km       1000 m

------------ * ----------------- = 602,000 m/hr

    hr               1 km

Recall that 1 hr = 3600 sec.  Convert 602,000 m/hr to m/sec:

602,000 m          1 hr

------------------ * ---------------- = 167.2 m/sec

     1 hr              3600 sec

5 0
2 years ago
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