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REY [17]
3 years ago
7

[CORRECT ANSWER RECEIVES BRAINLIEST ONLY

Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0

 The three lines are concurrent if they share a single point. From the second equation, x = 8y + 19 Substitute this value of x into the other equations.  This will allow you to solve for y. 2(8y + 19) + 3y = 0                              9(8y + 19) + 5y = 17 16y + 38 + 3y = 0                                 72y + 171 + 5y = 17 19y = -38                                                77y = -154    y = -2                                                      y = -2 Notice that the two equations have the same y value as the solution.  Now we just evaluate the second equation to solve for x.  So we know that at some x value, the y-coordinate is -2. x = 8(-2) + 19x = -16 + 19x = 3 The single point that these three equations share is (3, -2).  2a) 4x - 3y = 13                     eq1-6x + 2y = -7                   eq2  Use the elimination method.  Multiply eq1 by 2 and multiply eq2 by 3. 8x - 6y = 26                eq1-18 + 6y = -21              eq2  Add the equations to eliminate the y terms. -10x = 5     x = -1/2  Substitute this value of x into any of the equations to solve for y.  2b) Substitute the first equation into the second equation.  This will get the second equation in terms of x.  Solve for x from that newly written equation.  Once you solved for x, substitute that value of x into the first equation to solve for y.  We did this method for the first question.  2c) You have a vertical line that passes all points that have the x coordinate 7.You have a horizontal line that passes all point that have the y coordinate -5. If you were to graph these two lines, they will intersect at (7, -5).  Or you can just read the x and y values as (x, y).  3a) Draw the following lines on a coordinate system: i) A vertical line that passes through the points (3, 0).ii) A horizontal line that passes through the point (0, 6).iii) A line that passes through the points (0,0) and (1, -3). Once you have drawn these lines throughout the coordinate system, look for 3 points of intersection.  Those points are the vertices of the triangle.  Be sure to use the line segments that make up that triangle.  3b) By now, you should see that you get a right triangle.  Find the area of the two triangles using the formula Area = (base × height) / 2 The length of the horizontal side is the base.  The length of the vertical side is the height.  4) Lines that have the same slope never intersect.  Put both equations in  y=mx+b  form where the slope is the coefficient of x. 2x + 3y = 23  ----->  3y = -2x + 23   ------>   y = (-2 / 3)x + 23/3 7x + py = 8   ----->   py = -7x + 8     ------>   y = (-7 / p)x + 8/p  Set the slopes equal to each other. -2 / 3 = -7 / p  Cross-multiply. -2p = -21  Solve for p from this equation.   I leave this all to you.
sammy [17]3 years ago
3 0

Answer:

step 2

Step-by-step explanation:

The student first made an error in the step 2.

Because if we simplify the equation A in step 1, we should distribute the right side of the equation following the rule a(b-c) = a*b +a*(-c)

So, it would be

–7y = (-7)*(16)+(-7)*(-2z)

=> -7y = -112 + 14z

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Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many
olga55 [171]
To get the solution of a set of equations means to get a point that satisfies both equations.

Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case

Part (2): 
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line. 
Therefore, we have infinite number of solutions

Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.

7 0
3 years ago
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the length of a rectangle is 2 more than the width and the perimeter is 80. find the dimensions of the rectangle
4vir4ik [10]
Let width = x  then
2x+ 2(x + 2) = 80
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so the width is 19 and the length is 21 answer
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Answer:

7.5

Step-by-step explanation:

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LiRa [457]

Answer:

2

Step-by-step explanation:

-8(17-12)

------------

-2(8-(-2)

= -8(5)

--------

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= -40

----------

-20

<h2>Ans 2</h2>
4 0
3 years ago
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