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algol [13]
3 years ago
6

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o

r 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Mathematics
2 answers:
ella [17]3 years ago
6 0

Sample Response: It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.

Fittoniya [83]3 years ago
4 0
It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x<span>. Adding the </span>x<span>-tiles and then the unit tile, or visa versa, will give the same solution.</span>
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Answer:

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Step-by-step explanation:

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3 years ago
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Which value of x does not satisfy the equation sin^2x + sin x = 0
zzz [600]

Answer:

x \neq 0 \pm \pi \cdot i, \forall i \in \mathbb{N}_{O} and x \neq \frac{3\pi}{2}\pm 2\pi \cdot j, \forall j \in \mathbb{N}_{O}.

Step-by-step explanation:

The equation can be simplified with the help of trigonometric identities:

\sin x \cdot (\sin x + 1) = 0

Which means that equation is equal to zero if any component of the product is zero. The solutions of the expression are:

a) \sin x

x = 0 \pm \pi\cdot i,\forall i \in \mathbb{N}_{O}

b) \sin x + 1

\sin x + 1 = 0

\sin x = -1

x = \frac{3\pi}{2} \pm 2\pi\cdot i,\forall i \in \mathbb{N}_{O}

Any value different of both subsets do not satisfy the equation described above.

8 0
3 years ago
5) You and a friend live 4 miles apart. You hear the sound of thunder 18 seconds before your friend hears it. Assuming sound tra
Leokris [45]

Answer:

  see attached

Step-by-step explanation:

At 1100 ft per second for 18 seconds, the sound travels 19,800 ft, or 3.75 miles farther to my friend's house. The set of points that lie 3.75 miles farther from my friend's house than from my house form a hyperbolic curve. This is illustrated by the blue line in the attached graph. (My house is the red dot on the left; my friend's house is the red dot on the right.)

The lightning occurred somewhere on the blue curve.

___

If the lightning occurred on the line between our houses, it was 1/8 mile from my house and 3 7/8 mile from my friend's house. (That's close!)

_____

The formula for the curve in the graph is the distance formula applied to the set of points (x, y). It equates the difference of distance from the two houses to 3.75 miles. If one were to write the equation of the hyperbola in standard form, the equation would look a little different and a restriction would need to be applied so the formula would describe only one branch of the hyperbola.

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2 years ago
What is negative 5.5, 12/50, and negative 5 3/15 in least to greatest
FinnZ [79.3K]

graph and the pre- image

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3 years ago
I WILL GIVE BRAINLIEST!!!! Calculate cos M if a= 4, b= 12.5, c= 13.1244 **Round your answer up to four decimal places.
kompoz [17]

Answer:

cosM ≈ 0.3048

Step-by-step explanation:

remember SOH CAH TOA = sine: opposite/hypotenuse; cosine: adjacent/hypotenuse; tangent: opposite/adjacent

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cosM = 4.0 / 13.1244

cosM = 0.30477

cosM ≈ 0.3048

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