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Sidana [21]
3 years ago
7

What is the distance between P(-7, 3) and Q(1, -4) Round to the nearest tenth

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0
The answer is 10.6 units .....
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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2
8090 [49]

Answer:

tanΘ = - \frac{12}{5}

Step-by-step explanation:

Using the trigonometric identities

• sin²x + cos²x = 1, hence

cosx = ± √(1 - sin²x )

• tanx = \frac{sinx}{cosx}

given sinΘ = \frac{12}{13}, then

cosΘ = ±  \sqrt{1-(12/13)^2}

Since Θ is in the second quadrant where cosΘ < 0, then

cosΘ = - \sqrt{1-\frac{144}{169} }

         = - \sqrt{\frac{25}{169} } = - \frac{5}{13}

tanΘ = \frac{\frac{12}{13} }{\frac{-5}{13} }

        = \frac{12}{13} × - \frac{13}{5} = - \frac{12}{5}



5 0
3 years ago
Does anyone else agree that the answer for this family of curves question is E, dy/dx = x + y?
neonofarm [45]
Yes this is the correct answer. The slope field shown is the differential equation dy/dx = x+y

All points along the line x+y = k, for some constant k, will have the same tangent slope k. For example, the line x+y = 0 will have every point with tangent slope 0 for the solution y(x). It may not be 100% clear, but this graph has horizontal tickmarks on the line x+y = 0, or the tickmarks are close to being horizontal. Using geogebra, I checked the others and they produced completely different graphs, which allowed me to rule them out.
6 0
3 years ago
What is the equation of the line that passes through the point (-4,-8)(−4,−8) and has a slope of 4
elena-s [515]

Answer:

y=4x+8

Step-by-step explanation:

8 0
3 years ago
What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula h = StartFracti
azamat

Answer:

h = 6 cm

Step-by-step explanation:

Atriangle = b×h/2

18cm² = 6cm×h/2

36cm² = 6cm×h

h = 36cm²/6cm

h = 6 cm

3 0
3 years ago
Read 2 more answers
Help!<br><br> Simplify: (5/6)^2
aivan3 [116]

Answer:

.1147816 and the 6 is repeating

Step-by-step explanation:

What you do is you have to divide 5/6 first.

5/6=.83 and the 3 is repeating.

You will then square .83 to get:

.1147816 and the 6 is repeating as your answer.

4 0
3 years ago
Read 2 more answers
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