Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given: has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M =
Therefore, the coordinate of point M is, (-6,7).
Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
Answer:
6 units²
Step-by-step explanation:
The coordinates (1,1) (1,4) (5,1) form a right triangle as shown in the graph below
The base is is (1,1) and (5,1) so the length is 5-1 or 4 units
The height is (1,1) and (1,4) so the height is 4-1 or 3 units
Area of a triangle is given by
A = 1/2 bh
= 1/2 (4*3)
= 1/2 *12
= 6 units^2
Answer:
7.3 inches
Step-by-step explanation:
Use the Pythagorean Theorem:
Therefore, the length of the hypotenuse is about 7.3 inches