To write the equation of a line, we need 1) a point on the line 2) it's slope
For the point, we just substitute in the equation of the line intersecting it with x=3 (because they share this point)
Therefore, 2*3-3y=6 --> That gives y=0
Then the point is (x1,y1)=(3,0)
We already have the slope : m=2
Now we should use this relation for the required line equation
(y-y1) / (x-x1) = m
Then (y-0) / (x-3) = 2
Then y = 2*x - 6
And that is the required form
where 2 is the slope and -6 is the intercept
Answer:
6
Step-by-step explanation:
hope this helps
Answer:
Area : 704 square units
Step-by-step explanation:
First you do 16 x 10 = 160
then you do 32 x 17 = 544
then you add 160 + 544 = 704 (D)
The coordinates of triangle A′B′C′ is A′(2, 1), B′(1, 2), C′(3, 2)
On plotting the coordinates on the graph, it is found :
Option A is the coordinates of a straight line.
Option C is the coordinates of a bigger triangle
Option D has a different shape.
Only option B fulfills the required condition of similar shape and scale factor of 0.5 .
Vertices of a triangular garden:
A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5
What are the coordinates?
- A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
- Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.
Learn more about coordinates here: brainly.com/question/24513436
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Answer: x=26
Step-by-step explanation:
1. Write the equation 2x-5+4x-1+30=180 because all triangle angles add up to 180°
2. Simplify the equation by combining like terms. Write the equation as 6x+24=180
3. Subtract 24 from both sides. Write the equation as 6x=156.
4. Divide 156/6 and get 26. That is your answer (x=26).
