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If: y = x2+2x-7 and y = 17-3x
Then it follows that: x2+2x-7 = 17-3x
Subtract 17 and add 3x to both sides thus forming a quadratic equation:
x2+5x-24 = 0
When factored: (x+8)(x-3) = 0
Therefore: x = -8 or x = 3
So when x = -8, y = 41 and when x = 3, y = 8
So the line touches the curve at points A(-8, 41) and B(3, 8)
(x1-x2)2 + (y1-y2)2 = length of line segment2
(-8-3)2 + (41-8)2 = 1210 and the square root of this is 34.785 correct to 3dp
Length of line segment = 34.785 units
What else can I help you with?
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what about such a line segment? the length of such a segment is called the radius. the area of the circle is pi*the length of this segment squared the circumference is 2*pi*the length of this segment
What is be squared beauty?
Be Squared Beauty shows girls and "tweens" that it is a good thing to be squared. Not normal but a girl who takes pride in who she is. It is a new solution to showing girls that they shouldn't want to change anything about themselves. They are naturally beautiful!!!
How do you explain the length of line segment using Pythagoras theorem?
Consider the line segment between the points of (6, 8) and (3, 4) Using Pythagoras' theorem its length is: (6-3)squared+(8-4)squared = 25 So the square root of 25 is 5 which is the length of the line
How would you find the distance of two points if the line segment that connects them were vertical?
Exactly in the same way as using the formula for any straight line between two points which is:- Square root of [(x1-x2)squared+(y1-y2)squared]
The length of one leg of a right triangle is 6. The lengths of the other leg and the hypotenuse are cosecutive even integers. Find the length of the hypotenuse?
IS THIS FOR YOUR HOMEWORK? THE TRICK IS READING THE QUESTION CAREFULLY. CONSECUTIVE EVEN INTEGERS ARE 2 NUMBERS APART, SO IN A RIGHT TRIANGLES SIDES A, B, AND C, A SQUARED + B SQUARED = C SQUARED, AND C = B + 2 6 SQUARED + B SQUARED = [B+2] SQUARED 36 + B SQUARED = B SQUARED + 4B +4 SOLVE FOR B, AND GET 8, SO C WHICH IS [ B+ 2] IS 10. 36 + 64 = 100
What Angle A of triangle SAM is a right angle. If SM 13 mm and MA 12 mm determine the length of segment SA.?
If the right angle is at A then SA = 5 mm.
A picture frame is 14 centimeters by 18 centimeters there are 192 centimeters squared of picture showing. find the width of the frame?
The frame is 14 cm wide
What did Pythagoras do in his life time?
he made the theorem C squared = A squared + B squared and A squared = C squared - B squared or B squared = C squared - A squared
What is IX squared divided by III plus LXXIII showing details of your work in Roman and Arabic numerals?
Roman numerals:IX*IX = LXXXILXXXI/III = XXVIIXXVII+LXXIII = LXXXXVIIIII => CArabic numerals:9*9 = 8181/3 = 2727+73 = 100
What is 9x squared-15x squared?
9x squared-15x squared = -6
What is 2x squared x 3x squared?
2 squared X 3 squared = 5 squared
What are all of the square from 1 to 100?
1 squared = 1 2 squared = 4 3 squared = 9 4 squared = 16 5 squared = 25 6 squared = 36 7 squared = 49 8 squared = 64 9 squared = 81 10 squared = 100
