Step-by-step explanation:
Firs prime factorisation then we will find their GCF and it is 2
Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
Answer:
The new points to the triangle will be:
Step-by-step explanation:
Because the reflection point is at 
, all x values will subtract their distances from to get their new values. The y values remain the same.
The starting values are:
Point 
is 5 units away from , so we'll subtract 5 from -1 to get the new x value: 
, so 
.
Point 
is also 5 unit away from , so we'll subtract 5 from -1 to get the new x value: , so 
.
Point 
is 7 units away from , so we'll subtract 7 from -1 to get the new x value: 
, so 
.
Option A:
The another name for ∠1 is ∠JLK.
Solution:
How to Label Angles
:
There are two main ways to label angles:
1. Give the angle name by a number or a lower case letters.
2. The second way to name the angle is indicating by the vertex.
Usually the angle is denoted by three letters.
First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).
To find the another name for ∠1.
The arms of the angle are LJ and LK and the vertex is L.
So, the name of the angle is ∠JLK.
Middle letter is the actual angle.
Therefore the another name for ∠1 is ∠JLK.
Option A is the correct answer.
Answer:
y=-1.5x-2
Step-by-step explanation:
18y=12x-72
3y=2x-12
y=2/3x-4
Slope=-1.5
7=-6(-1.5)+b
7=9-2
