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Bezzdna [24]
3 years ago
6

Which ordered pair is the solution to the system of equations?

Mathematics
1 answer:
Contact [7]3 years ago
5 0
\left \{ {{2x+y=-8} \atop {x-y=-4}} \right. \\+----\\\\3x=-12\ \ \ \ |:3\\x=-4\\\\-4-y=-4\\-4+4=y\\y=0\\\\Answer\ D(-4,0)
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Which inequality is represented by the graph y>-2/3x+1 y<-2/3x+1 y<-3/2x+1 y>-3/2x+1
soldi70 [24.7K]

Answer:

the 3rd one is the graph answer

6 0
3 years ago
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
The terminal side of an angle in standard position passes through p(–3, –4). what is the value of tangent theta?
astraxan [27]

Answer:

  4/3

Step-by-step explanation:

The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...

  tan(θ) = y/x

__

For the given point on the terminal side, the tangent is ...

  tan(θ) = (-4)/(-3) = 4/3

_____

<em>Additional comment</em>

There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:

  (x, y) = (r·cos(θ), r·sin(θ))

Then the ratio y/x is ...

  y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)

6 0
2 years ago
Read 2 more answers
Factor the expression. 35x-28xy=
zalisa [80]

Answer:

7x(5-4y)

Step-by-step explanation:

35x-28xy

7x(5-4y)

4 0
2 years ago
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Ming plays video games online.
Vlad1618 [11]
Ming needs to play for 15 hours to get 500 points. They gave him 200 for signing up, so 500-200=300 more points needed. 300 divided by 20= 15 more hours.
7 0
4 years ago
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