Since t=3
What do have to do is just set it for 3.
13(3) -2
k(3) = 37
A graph with a dotted line running through the points (-4, 0) and (0, 6) shaded above the origin.
Answer:
4x - 3y = 2
Step-by-step explanation:
First, let's review what "standard form" signifies: Ax + By = C.
Starting with y = 4/3 * x - 2/3, multiply all three terms by 3 to eliminate the fractions:
3y = 4x - 2
Next, subtract 3y from both sides:
0 = 4x - 3y - 2.
It would be nice (tho' not essential) to have the coefficient of x positive. That is why I've left 4x on the right side and subtracted 3y from both sides.
finally, add 2 to both sides, obtaining 4x - 3y = 2. This is the equation in standard form.
Answer:
y = 1/2 x
Step-by-step explanation:
We have the slope of 1/2 and a point of (4,2)
We can use point slope form
y-y1 = m(x-x1)
y-2 = 1/2(x-4)
Distribute
y-2 = 1/2x -2
Add 2 to each side
y-2+2 = 1/2 x -2+2
y = 1/2 x
This is in slope intercept form
Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.
1. Rotational Symmetry: -
It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘
2. Centre of rotation: -
The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.
3. Angle of Rotational Symmetry: -
The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘
4. Order of Rotational Symmetry: -
The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘
, so its order of rotation will be 3.
In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.
Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.
We know that a regular pentagon has 5 sides.
<h3> Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.</h3>