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What is the length of the line y equals 17-3x that joins the parabola of x squared plus 2x -7 equals y showing key stages of work?
y = 17 - 3x
y = x2 + 2x -7
17 - 3x = x2 + 2x -7
0 = x2 + 5x -24
(x + 8)(x - 3) = 0 so x =-8 and x = 3
y = 17 -3(-8) = 41 ==> (-8,41) endpoint of line
y = 17-3(3) = 8 ==> (3,8) 2nd endpoint of line
d2 = (x2 - x1)2 + (y2 - y1)2
d2 = (3 - -8)2 + (41 - 8)2
d2 = 112 + 332 =1(112) +(32)(112) =10(112)
d = 11(sq root(10)) answer
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What is the length of the line of y equals 17-3x that spans the parabola of y equals x squared plus 2x -7 showing work and answer to three decimal places?
If: y = 17-3x and y = x^2+2x-7 Then: x^2+2x-7 = 17-3x => x^2+5x-24 = 0 Solving the quadratic equation: x = -8 and x = 3 Points of intersection with the parabola: (-8, 41) and (3, 8) Length of line: square root of [(-8-3)^2+(41-8)^2] = 34.785 to 3 d.p.
What is the length of the line y equals 17 -3x that spans the parabola y equals x squared plus 2x -7 showing work?
If: y = x^2 +2x -7 and y = 17 -3x Then: x^2 +2x -7 = 17 -3x => x^2 +5x -24 = 0 Solving the equation: x = 3 or x = 8 Points of intersection: (3, 8) and ( -8, 41) Length of line: square root of 1210 which is about 34.785 to three decimal places
If the length of a rectangle is 3 and the width is 2 the length of the diagonal is?
a=3 b=2 c=diagonal a squared add b squared equals c squared 9 add 4 = 13 square root 13 and ther's your answer
How do you do the pythagoreum theorem?
The pythagorean theorem states that in a right triangle, the hypotenuse ( the line opposite of the right angle) squared is the two sides squared and added up. In other words. a squared plus b squared equals c squared. C squared is the hypotenuse squared. then, you can find the length of C by finding the square root of C. Ex. right triangle has 2 sides with lengths. 4 and 5. the missing length is c. 4 squared plus 5 squared equals 16 plus 25 which is 41. square root of 41 is 6.4. That is the length of c. sorry if it's a little confusing.
How do you find length with width and diagonol numbers?
Assuming you're talking about a rectangle: Diagonal squared = length squared + width squared (Pythagoras) so: Length squared = diagonal squared - width squared ie length = sqrt (diagonal squared - width squared)
What is the length of the line of y equals 5x plus 10 that joins the parabola of x squared plus 4 at two points?
It works out exactly as: 7 times the square root of 26
If A squared plus B squared equals C squared and C equals 8 and A and B are the same length what are A and B?
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What is the length of the line of y equals 17-3x that spans the parabola of y equals x squared plus 2x -7 showing work and answer to three decimal places?
If: y = 17-3x and y = x^2+2x-7 Then: x^2+2x-7 = 17-3x => x^2+5x-24 = 0 Solving the quadratic equation: x = -8 and x = 3 Points of intersection with the parabola: (-8, 41) and (3, 8) Length of line: square root of [(-8-3)^2+(41-8)^2] = 34.785 to 3 d.p.
What is the length of the shorter leg of a right triangle if the longer leg has a length of 45 and the hypotenuse has a length of 53?
Subtract the squared longer leg's squared length from the hypotenuse's square to obtain the squared shorter leg length. Then find the square root of that answer for your final answer. In other words: 53 squared minus 45 squared equals your squared answer.
How do you find the missing length of a triangle using Pythagoras?
The length of side A squared plus the length of side B sqaured equals the missing side of the triangle squared. So i.e. if side A is 4 and side B is 3 then 4x4 which is 16 plus 3x3 which is 9 equals 25 and the square root of 25 equals 5. So in conclusion the missing side equals 5.
What is the formula for a square plus b square?
Pythagorean's theorem: Length of Side A squared times the length of Side B squared equals the length of Side C squared in a right triangle. A2+B2=C2
What is the Pythagorean Theorem and how is it used to find the length of a side of a right triangle?
a squared plus b squared equals c squared where c is the length if the hypotenuse (longest side) are you thick or something
What is the diagonal when the length is 1712mm and the width is 585mm?
a squared plus b squared equals c squared (1712X1712) + (585X585)= what the square root of "what" is the answer you are looking for
What is the length of 1 side of a square with 49m squared area?
It is 7. 7 multiplied by 7 equals to 49m squared.
What is the length of the line y equals 17 -3x that spans the parabola y equals x squared plus 2x -7 showing work?
If: y = x^2 +2x -7 and y = 17 -3x Then: x^2 +2x -7 = 17 -3x => x^2 +5x -24 = 0 Solving the equation: x = 3 or x = 8 Points of intersection: (3, 8) and ( -8, 41) Length of line: square root of 1210 which is about 34.785 to three decimal places
If the length of a rectangle is 3 and the width is 2 the length of the diagonal is?
a=3 b=2 c=diagonal a squared add b squared equals c squared 9 add 4 = 13 square root 13 and ther's your answer
How do you do the pythagoreum theorem?
The pythagorean theorem states that in a right triangle, the hypotenuse ( the line opposite of the right angle) squared is the two sides squared and added up. In other words. a squared plus b squared equals c squared. C squared is the hypotenuse squared. then, you can find the length of C by finding the square root of C. Ex. right triangle has 2 sides with lengths. 4 and 5. the missing length is c. 4 squared plus 5 squared equals 16 plus 25 which is 41. square root of 41 is 6.4. That is the length of c. sorry if it's a little confusing.
