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gtnhenbr [62]
2 years ago
10

Please help with these 3! Don’t need the steps, just the answer

Mathematics
1 answer:
anygoal [31]2 years ago
7 0
The top left one is y=-4x-5
Bottom left is y=-x+2
The right one is y=2/3x-4
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Pleasee help mee<br><br>12sin(x)-5cos(x)=6,5​
abruzzese [7]

We turn -5,12 into polar coordinates.  It's a Pythagorean Triple so

r = 13   Ф=arctan(-12/5) + 180°   ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5  

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k     integer k

x = Ф ± 60° + 360° k  

x = 180° + arctan(-12/5) ± 60° + 360° k  

That's the exact answer;

x ≈  180° - 67.38° ± 60° + 360° k  

x ≈  122.62° ± 60° + 360° k  

x ≈  { 62.62°, 182.62°} + 360° k,  integer k

3 0
3 years ago
Vanessa invested $300 in an account for 10 years at 4% simple interest. What is the principal amount?
oksano4ka [1.4K]

Answer:$120

Step-by-step explanation

I had homework over this a day ago

5 0
2 years ago
3d-4 when d=1.2<br><br><br> Please help its homework
AysviL [449]
-0.4 because it is 3.6 - 4
5 0
3 years ago
Read 2 more answers
What is 2/5 divided 3/4
Zepler [3.9K]

Answer:

8/15

Step-by-step explanation:

To divide by a fraction, change the division to a multiplication, and flip the fraction.

2/5 / 3/4 = 2/5 * 4/3 = 8/15

4 0
3 years ago
The graph of the function f is shown. The domain of f is [0,50]. What is the range of g(x)=4f(x)?
sergij07 [2.7K]

Answer:

The range of g(x) is [0,7].

Step-by-step explanation:

We must remember that range of function f(x) corresponds to the set of values of y in the graph (+y direction). Given that g(x) is a stretched version of f(x), the range of g(x) corresponds to the range of f(x) multiplied by 4. Then,

Ran\{g(x)\} = 4\cdot Ran\{f(x)\}

Ran\{g(x)\} = 4\cdot [0,1.75]

Ran\{g(x)\} = [0, 7]

The range of g(x) is [0,7].

4 0
3 years ago
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