Answer:
9x^2+48x+64
Step-by-step explanation:
i combined liked terms
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
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Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is
through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
Answer: (2,7) (-2,-9) (3,11) (-3,-13)
Step-by-step explanation:
(2)(2)+(2)(2)-1 = 7
(2) (-2)+(2)(-2)-1 = -9
(3)(2)+(2)(3)-1 = 11
(-3)(2)+(2)(-3)-1 = -13
Answer:

Step-by-step explanation:
The speed of light is
and its frequency is
.
The speed of light is given as:
c = λ * f
where λ = wavelength of light
f = frequency of light
Therefore, the wavelength is given as:
λ = c / f
=> λ = 
=> λ = 
The wavelength of the light is 
Answer:
x = 142
Step-by-step explanation:
√x+2 - 15 = -3 (Given)
√x+2 = 12 (Add 15 on both sides)
x + 2 = 144 (Square both sides to get rid of the radical)
x = 142 (Subtract 2 on both sides)