Answer:
y = 1 x = 3
the +1 at the end of the equation is the y intercept while the number with the x is the slope, since the slope is -1/3 take it as if it was rise/run. In other words since the rise is -1 you are going down 1 unit and the run is 3 you are going 3 units to the right & that's the path its going to be taking. So that makes the line cross the x axis at (0,3)
Answer:
92
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
We can use the below formula to find the line of symmetry.
( x - a )² + b
Here,
line of symmetry = +a
Vertex = +b
And now let us take a look at the given equation.
y = x² + 10x + 22
To find the line of symmetry from the given equation we have to make the given equation as the given formula.
Let us use the completing square method for that.
y = x² + 10x + 22
<em>Put zero instead of y.</em>
x² + 10x + 22 = 0
x² + 10x = -22
x² + 10x + 25 = -22 + 25
( x + 5 )² = 3
( x + 5 )² -3 = 0
Therefore,
line of symmetry of the line is = -5
∴ x = -5
Intersection of E and A: E n A = { 8 }
Union of E and A : E U A = { -2, 3, 0, 6 , 8 }
<em><u>Solution:</u></em>
<em><u>The sets E and A are given below:</u></em>
E = { -2, 3, 8 }
A = { 0, 6 , 8 }
<em><u>Find the intersection of E and A</u></em>
Intersection of E and A means that, set containing all elements of E that also belong to A
Therefore,
From sets E and A,
E n A = { 8 }
<em><u>Find the union of E and A</u></em>
union of E and A contains all elements of set E and set A
E U A = { -2, 3, 0, 6 , 8 }