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Vaselesa [24]
3 years ago
6

The point G(-5, -4) is translated 1 unit left. What are the coordinates of the resulting point, G′?

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0
Worksheet? I need more information on this topic
MatroZZZ [7]3 years ago
6 0
Your answer is G’(-6,-4)

X- intercept: right/left
Y- intercepy: up/down

Since it is translated 1 unit left, you need to subtract 1 from the x-intercept:

(-5-1,-4)

Solve, and you get

(-6,-4) for your final answer.
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Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,
Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx

=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx

=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}

4 0
3 years ago
Express 3km 2m as a decimal of 1km.
puteri [66]

Answer:

3.002 km

Step-by-step explanation:

1000 m = 1 km

1 m = 0.001 km

3 km + 2 m = 3 km + 2(0.001 km)

3 km + 2(0.001 km) = 3.002 km

6 0
3 years ago
What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
3 years ago
If n is a prime number, then n 1 is not prime?
Eddi Din [679]
That is true........
3 0
3 years ago
Use the relationships in the diagram to find the value of C<br> 520<br> d<br> 379<br> 63
Brut [27]

Answer:

c = 154°

Step-by-step explanation:

I Hope this helps.

7 0
2 years ago
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