If: y = x^2+4 and y = 5x+10
Then: x^2+4 = 5x+10
So: x^2-5x-6 = 0 => x = -1 or x = 6
Points of intertsection by substitution: (6, 40 and (-1, 5)
Length of line: sq rt of (6--1)^2+(40-5)^2 = 7 times sq rt 26 or 35.693 to 3 d.p.
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.
Equations: x2+2x-7 = 17-3x Quadratic equation: x2+5x-24 = 0 Points of intersection: (-8, 41) and (3, 8) Length of line: (-8-3)2+(41-8)2 = 1210 and the square root of this is the length of the line which is about 34.78505426 or to be exact it is 11 times the square root of 10.
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
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
The given equation (x^2 = 12y) represents a parabola that opens upwards. The length of the focal width (the distance between the two points on the parabola where it intersects a line parallel to the directrix) is equal to (4p), where (p) is the distance from the vertex to the focus. For this parabola, (4p = 12), so the focal width is (12). Therefore, (12) is the length of the focal width.
It works out exactly as: 7 times the square root of 26
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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.
First find the points of intersection of the two equations: 17 - 3x = x2 + 2x - 7 or x2 + 5x - 24 = 0 This has the solutions x = 3 and x = -8 So the coordinates of the two points of intersection are (3,8) and (-8,41). Then, by Pythagoras, the length is sqrt[(3+8)2 + (8-41)2] = sqrt(121 + 1089) = sqrt(1210) = 11 sqrt(10) or 34.785 units (approx).
Equations: x2+2x-7 = 17-3x Quadratic equation: x2+5x-24 = 0 Points of intersection: (-8, 41) and (3, 8) Length of line: (-8-3)2+(41-8)2 = 1210 and the square root of this is the length of the line which is about 34.78505426 or to be exact it is 11 times the square root of 10.
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.
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.
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
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
a squared plus b squared equals c squared where c is the length if the hypotenuse (longest side) are you thick or something
a squared plus b squared equals c squared (1712X1712) + (585X585)= what the square root of "what" is the answer you are looking for
It is 7. 7 multiplied by 7 equals to 49m squared.