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If one leg of right triangle is 5cm shorter than the other leg The length of the hypotenuse is 25cm Find the length of the shorter leg?
Let the shorter leg be x-5 and the other leg be x. Use Pythagoras' theorem: (x-5)2+x2 = 625 (x-5)(x-5)+x2 = 625 2x2-10x+25 = 625 2x2-10x+25-625 = 0 2x2-10x-600 = 0 Solving the above using the quadratic equation formula works out as: x = -15 or x = 20, so it must be the latter because dimensions can't be negative. Therefore:the shorter leg is 15 cm
How do you graph a quadratic equation?
A quadratic equation is an equation with the form: y=Ax2+Bx+C The most important point when graphing a parabola (the shape formed by a quadratic) is the vertex. The vertex is the maximum or minimum of the parabola. The x value of the vertex is equal to -B/(2A). Once you have the x value, just plug it back into the original equation to get the corresponding y value. The resulting ordered pair is the location of the vertex. A parabola will be concave up (pointed downward) if A is +. It will be concave down (pointed upward) if A is -. It is often helpful to find the zeroes of a function when graphing. This can be done by factoring or using the quadratic formula. For every n units away from the vertex on the x-axis, the corresponding y value goes up (or down) by n2*A. Parabolas are symetrical along the vertex, which means that if one point is n units from the vertex, the point -n units from the vertex has the same y value. As an example take the following quadratic: 2x2-8x+3 A=2, B=-8, and C=3 The x value of the vertex is -B/2A=-(-8)/(2*2)=2 By plugging 2 into the original equation we get that the vertex is at (2,-5) 3 units to the right (x=5) has a y value of -5+32*2=13. This means that 3 units to the left (x=-1) has the same y value (-1,13). If you need a clearer explanation, ask a math teacher.
What is the tangent equation at the point of 1 -1 when it touches the circle of 2x2 plus 2y2 -8x -5y -1 equals 0?
The tangent equation that touches the circle 2x^2 +2y^2 -8x -5y -1 = 0 at the point of (1, -1) works out in its general form as: 4x +9y +5 = 0
Can you install 2x2 ceiling tiles in a 2x4 grid system?
You have two options. You can purchase 24" cross pieces for your grid, to turn the 2X4 sections into 2X2 sections, or you can purchase 2X4 tiles that look like 2X2 tiles. Ceilume's Stratford Style is a good example.
If a pair of angles are complementary and one of the angles is twice as large as the other angle what is the measure of each angle?
LET angle 1= 2xangle 2= x"find the value of x"angle1 + angle2 = 902x + x = 903x = 903X = 30"subtitute the X with the equation"angle1 = 2x2(30)60angle2 = 30
