Answer:
The plane is now at (1100, 600) in unit mile
Step-by-step explanation:
The airport is the point (0 ,0) and the plane travels from there 1100 miles east and thereafter 600 miles north. If the unit is in mile then we may say that the planes co -ordinates are now (1100 , 600)
Since,
positive x -axis points towards east and positive y-axis points towards north.
<em><u>Question:</u></em>
The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3
Options:
x = negative 3
x = negative 1
x = 1
x = 3
<em><u>Answer:</u></em>
The value of x is 1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-2x + y = 8 ------- eqn 1
5x - y = -5 ------- eqn 2
The above equations are added to solve for "x"
Add eqn 1 and eqn 2
-2x + y + 5x - y = 8 - 5
Combine the like terms
-2x + 5x + y - y = 3
Add the like terms
3x + 0 = 3
3x = 3
Divide both sides of equation by 3
x = 1
Thus the value of x is 1
First, figure out the slope of the line by solving for the slope between the two given coordinates.
Slope = y2 - y1 / x2 - x1
Substitute the coordinates.
Slope = 2 - (-4) / 2 - (-1)
Slope = 2 + 4 / 2 + 1
Slope = 6 / 3
Slope = 2
So, the slope of the equation here is 2.
Next, look for the y-intercept. You can find the y-intercept by looking on the graph. At what coordinate does the line intersect or cross the y-axis? By looking at the graph, you can see that the line intersects the y-axis at the coordinate point (0, -2). So, your y-interceot is -2.
Now, choose the equation that has a slope of 2 and a y-intercept of -2.
Remember that the standard form of any given linear equation should be in slope-intercept form.
y = mx + b
Substitute the slope and y-intercept
y = 2x - 2
By doing this, you can eliminate choices 1 and 4 because the equation should have 2x to represent the slope of 2.
The best choice is 2x - y = 2.
You have a slope of 2x and if the equation is put in standard form you would have a y-intercept of -2.
Solution: 2x - y = 2
Answer: [A]: 1.6 mi/h .
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(8/5) mi / h = (8<span> ÷ 5) mi / h = 1.6 mi / h ; which is Answer choice: [A].
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