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Natasha_Volkova [10]
2 years ago
10

Graph the linear equation 6x-2y=12

Mathematics
1 answer:
Bezzdna [24]2 years ago
4 0
Subtract both sides from 6x, leaving you with the equation:


-2y=-6x+12


Now, you divide all of the sides by -2, therefore leabing you with the equation:


y=3x-6
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2 years ago
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A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.
sineoko [7]
Easy, find the equation of the line,

Using y=mx+b form:

(-1,3) m=2

3= 2(-1)+b

3= -2+b
+2     +2

5=b

y=2x+5. This is your equation.

Now, plug in the coordinates:

(-3,2)

2= 2(-3)+5
2= -6+5
2= -1

NO

(0,5)

5= 2(0)+5
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5= 2+5
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(1,4)

4= 2(1)+5
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NO.

Thus, B, is your answer.


5 0
3 years ago
A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

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Answer:

the answer to your question is h = 10

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Answer:

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