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What is the equation of the graph below?
2 answers:
<h2>Answer:</h2>
The equation of the given graph is:
We know that the general equation of a downward parabola with vertex at (h,k) is given by the formula:
where a<0
Here in each of the options we have a= 1 or -1
but as a has to be less than 1 this means that a= -1
Also, we have: (h,k)= (3,1)
i.e. h=3 and k=1
Hence, putting the values of h,k and a in the general equation we get:
Hence, the equation of parabola is:
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Points, lines, planes are all undefined terms of geometry
<h3>Point S line in plane H</h3>To do this, we draw a plane H (represented by a rectangle), and then add a point on the rectangle
<h3>Plane I contains line EL</h3>To do this, we draw a plane I (represented by a rectangle), and then draw a line on the rectangle
<h3>Plane A, B and C are collinear</h3>This means that a line passes through points A, B and C or in other words, points A, B and C are on the same line
<h3>Lines x and y intersect at a point M</h3>This means that point M is a common point on lines x and y or in other words, point M lies on both lines
<h3>Plane A and R intersect at line JI</h3>This means that line JI lies on both planes
See attachment for the illustration of the 5 activities
Read more about points, lines, planes at:
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is
