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Olenka [21]
2 years ago
11

NEED HELP THIS IS SOOOOOO HARD NEED PROOF WILL GIVE BRAINLIEST AND 5-STAR

Mathematics
1 answer:
Shkiper50 [21]2 years ago
7 0

Answer:

J    1

   --------

    x^2 -x

Step-by-step explanation:

x+1

----------

x^3-x

Factor out an x in the denominator

x+1

----------

x(x^2-1)

We can factor the terms in the parentheses because it is a difference of squares

x+1

----------

x(x-1) (x+1)

Canceling the x+1 terms

1

----------

x(x-1)

Distribute in the denominator

1

--------

x^2 -x

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What are the coordinates of the image of vertex R after a reflection across the y-axis?
vfiekz [6]
Consider any point P(x, y) in the coordinate axis.

The reflection of this point across the y-axis is the point P'(-x, y).

(x, y) and (-x, y) are the 'mirror' images of each other, with the y'axis as the 'mirror'.

For example the coordinates of the image of P(4, 13) after the reflection across the y-axis is P'(-4, 13)

or, if P(-5, -9), then P'(5, -9)


Answer: if coordinates of V are (h, k), coordinates of V' are (-h, k) 



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3 years ago
Read 2 more answers
Simplify 42.48<br> O 416<br> O 410<br> O 1616<br> O 1610
lilavasa [31]

Answer:

410? I don't know. Sorry if it is wrong.

3 0
2 years ago
A particle is projected with a velocity of <img src="https://tex.z-dn.net/?f=40ms%5E-%5E1" id="TexFormula1" title="40ms^-^1" alt
Katena32 [7]

Answer:

2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}(Recall that \sin 60^{\circ}=\frac{\sqrt{3}}{2})

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation v_f^2=v_i^2+2a\Delta y to solve this problem, where v_f/v_i is final and initial velocity, respectively, a is acceleration, and \Delta y is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 9.8\:\mathrm{m/s^2}. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

  • v_i=20\sqrt{3}\text{ m/s}
  • a=-9.8\:\mathrm{m/s^2}
  • \Delta y =50\text{ m}

Solving for v_f:

v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}

3 0
3 years ago
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