The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
<h3>What is the equation of a line passing through two given points in a 2-dimensional plane?</h3>
Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
The graph of the picture shows two clear points (4.5. 0) and (0, 9)
Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
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Equation:
(4/(x-2))+(1/((x^2)-4))=(1/(x+2)
Answer:
A: She found one valid solution and no extraneous solutions.
Step-by-step explanation:
When solving you get x= -(11/3)
The number of different ways that three speakers can be selected is 10 ways
Given the names of choice to be Ben, Will, Stewart, Hilary, and Kate. This means that we have a total of 5 name choices.
If the members of students activities are to select three speakers among these people, the number of ways this can be done is by using the combination rule as shown;
From the question, n = 5 and r = 3. On substituting
Hence the number of different ways that three speakers can be selected is 10 ways.
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Hello :
cos60 = cos(-60)=0.5
Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.
In your case, we have that every point lying on AC has the same distance from B and D.
So, in particular, we have EB=ED, because E lies on AC.
Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.
This means that triangles ABE and ADE have:
- AD=AB because ABD is isosceles
- EB=ED because AC is the perpendicular bisector of BD
- AE in common
So, their sides are all equal, and thus they are congruent.
