Answer:
4
Step-by-6step explanation:
4-65
Given equation of the parabola y= -5x^2 -10x -13.
We need to apply formla for x-coordinate of the vertex.
x=-b/2a.
For the given equation we have a=-5 and b=-10.
Plugging values of a and b in formula of x-coordinate of the vertex.
x= -(-10)/2(-5)
x= 10/(-10) = -1.
So, we got x-coordinate of the vertex = -1.
Now, we need to plug x=-1 in given equation to find the y-coordinate of the vertex.
Plugging x=-1 in y= -5x^2 -10x -13, equation we get
y=-5(-1)^2-10(-1)-13.
y= -5(1) +10 -13.
y=-5 +10-13.
y=-18+10.
y=-8.
So, we got y-coordinate of the vertex -8.
Therefore, vertex of the parabola is (-1,-8).
Answer: At point (
)
Step-by-step explanation: <u>Diagonal</u> is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = 
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = 
(x,y) = 
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point
.
Answer:
15x + 20
Step-by-step explanation:
Answer:

Step-by-step explanation:
Please refer to the attached figure for labeling of given diagram:
We are given the following angles:

Angles opposite to each other when they are formed by crossing of two lines are known as vertically opposite angles. And vertically opposite angles are always equal to each other.
Using property of vertically opposite angles:

Line CD is a straight line, so 
Also,

Hence, <em>answer</em> is
.