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To factorize the expression abxb + acxc, we first identify the common factors in each term. In this case, the common factors are b in the first term and c in the second term. We then factor out these common factors to get b(a + x) + c(a + x). Finally, we factor out the common binomial factor of (a + x) to get (a + x)(b + c) as the fully factorized expression.
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How do you calculate the centroid of a triangle?
If the coordinates of the three vertices are (xa, ya), xb, yb) and (xc, yc) then the coordinates of the centroid are [(xa+xb+xc)/3, (ya+yb+yc)/3].
Why do a square's diagonals bisect each other?
Consider the square ABCD whose diagonals, AC and BD, meet at X.AB is parallel to DC and AC intercepts them. Therefore <BAX = <DCX. AB is parallel to DC and BD intercepts them. Therefore <ABX = <CDX. AB = CD. Therefore triangle ABX is congruent to triangle CDX (SAS). So AX = XC ie X is the midpoint of AC and BX = XB ie X is the midpoint of BD. ie the diagonals bisect each other.
What car was used in Mad Max?
Max's yellow Interceptor was a 1974 XA-XC XB sedan
When does resonance occurs in an AC circuit?
XL=XC
If you have three points how can you find if they are in triangle?
Either they are in the form of a triangle or they are all on the same straight line.If you are given the points just join any two of the points together and, if required, extend the line. If that line goes through the third point then the points are not in a triangle.If you have the coordinates A = (xa, ya), B = (xb, yb) and C = (xc, yc), thenif xa = xb = xc then they are all on the same straight line and so are not in a triangle.otherwise, if (ya - yb)/(xa - xb) = (yb - yc)/(xb - xc) they are on the same straight line and so are not in a triangle. In all other cases, they are.By extension, if the vector AB is a multiple of vector BC then they are in a straight line. Otherwise they are in a triangle.
What is the formula for center of gravity fo traingle?
First I assume that you mean triangle and not traingle. The answer depends on the form in which you have information about the triangle.If the vertices of the triangle are known in terms of their coordinates: if the three vertices are (xa, ya), (xb, yb) and (xc, yc) then the CoG has the coordinates [(xa+xb+xc)/3, (ya+yb+yc)/3)].Otherwise, they CoG is the point where the medians of the triangle meet.
If it true that ac current can pass through the capacitor while dc current can not?
In case of DC: because the frequency of dc current is zero capacitive reactance ( Xc) = 1/2(22/7)fc f= frequency c=capacitence and when Xc=0 this implies that I=0 In case of AC: Xc >0 => I>0
What is the median formula?
It depends on whether you mean median in terms of statistical data or the line joining a vertex of a triangle to the midpoint of the opposite side. The Statistical Median: If there are n observations where n is odd, then the median is the (n+1)/2 smallest observation. If n is even, then the median is the arithmetical mean of the n/2 and n/2+1 smallest observations. The Coordinate Geometry Median: Given triangle ABC, with A = (xa, ya), B = (xb, yb) and C = (xc, yc), the midpoint, D of BC is [(xb+xc)/2, (yb+yc)/2] and so, the equation of the median AD is (y-ya)/(x-xa) = (2ya-yb-yc)/(2xa-xb-xc)
What are the coordinates of the center of a rectangle?
Just find the midpoint of opposite corners Consider the rectangle with sides of length a and b. The length of a diagonal is then sqrt(a2+b2) The two diagonals cross at the midpoint or where the length of the line from one vertex to the center is one half of a diagonal or (0.5)[sqrt(a2+b2)]. 1- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and you have Point B(XB, YB) corresponding to the lower right coordinate of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated: XC = XA + (XB-XA)/2 YC = YA - (YA-XB)/2 2- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and the width (W) and height (H) of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated: XC = XA + (W)/2 YC = YA - (W)/2
Where superposition theorem is applied for both ac and dc circuits?
In resonance condition xl=xc so that the circuit is pure resistive.so that suporposition theorem is applied for both dc and ac circuits
If a Circuit contains 40 ohms of resistance and 70 ohms of xc when 100 volts AC is applied how much current flows?
100/80.6=___
What does the abbreviation XC stand for?
Cross Country... XC
