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3 years ago

15

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a

distance of 3 units, what are the coordinates of your position?

1 answer:

qwelly [4]3 years ago

4 0

(4, -3).

Note that moving downward from the origin locates you in a negative y-cooirdinate; -3 in this case.

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The equation t^3=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

ankoles [38]

Answer:

2√2

Step-by-step explanation:

We can find the relationship of interest by solving the given equation for A, the mean distance.

<h3>Solve for A</h3>

$T^3=A^2\\\\A=\sqrt{T^3}=T\sqrt{T}\qquad\text{take the square root}$

<h3>Substitute values</h3>

The mean distance of planet X is found in terms of its period to be ...

$D_x=T_x\sqrt{T_x}$

The mean distance of planet Y can be found using the given relation ...

$T_y=2T_x\\\\D_y=T_y\sqrt{T_y}=2T_x\sqrt{2T_x}=(2\sqrt{2})T_x\sqrt{T_x}\\\\D_y=2\sqrt{2}\cdot D_x$

The mean distance of planet Y is increased from that of planet X by the factor ...

2√2

8 0

2 years ago

Elena and Jada are 25 miles apart when they start moving toward each other. Elena runs at a constant speed of 6 mph and Jada wal

Setler [38]

<u>Answer:</u>

The Time taken by Elena and Jade to meet up is 2.5 hours

<u>Explanation:</u>

Given,

Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph

Also, Distance can be calculated by the formula

$Distance = Speed * Time$

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values

Here it will be: $6 + 4$ = 10mph

Distance apart is given as 25 miles. Substituting the values,

$Distance = Speed * Time$

25 = $10 * time$

Time = 25/10

Time = 2.5 hour

Hence, It will take 2.5 hours to meet up.

3 0

3 years ago

Ari decides to run 8.5 kilometers this weekend. He jogs 8.9 laps around the running track on Saturday. How many more kilometers

Eduardwww [97]

Answer:

D. y = 8.9 ÷ 0.4

Step-by-step explanation:

I hope this helps

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3 years ago

Find the solution to the system of equations.

Anna [14]

No solution it’s infinite

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3 years ago

Is -9 a irrational number

GalinKa [24]

-9 is a rational number. Rational numbers are numbers that can’t be written as a simple fraction like pi (3.14...etc)

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3 years ago