Answer:
y = -1 x = 4
Step-by-step explanation:
(X+3y=1) 5 Multiply this equation by 5 to cancel out the x
-5x+4y=-24
-5x + 4y= -24
+ 5x + 15y = 5 Add both equations together
19y = -19 Divide both sides by 19
y = -1
Plug -1 for y into one of the equations
x + 3(-1) = 1 Multiply 3(-1)
x - 3 = 1
+ 3 + 3 Add 3 to both sides
x = 4
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Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
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<em>Additional comment</em>
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
The value of y is 5
<h3>How to determine the value </h3>
From the given line, it can be concluded that:
The segment RT is divided into RS and ST
But we have the following parameters
The length of the sides are:
Since RT is RS added to ST:
We have;
RT = RS + ST
substitute the values
43 = 4y + 4 + 3y + 4
collect like terms
43 = 4y + 3y + 4 + 4
Add like terms
43 = 7y + 8
43 = 7y + 8
Make '7y' subject of formula
7y = 43 - 8
7y = 35
Make 'y' the subject of formula
y = 35/ 7
y = 5
Thus, the value of y is 5
Learn more about segments here:
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Answer:
Step-by-step explanation:
The main limitation of using the cellulose is that it is obtained from plant cell and it cannot be used in abundant amount. Although the most abundant form of carbohydrate found is cellulose but we cannot extract it from the plants for using it
