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
Answer:
4y + (y − 1) = 29
(2y + 3) − 4 = 9
4y − y + 1 = 13
Step-by-step explanation:
We will have to check each equation for the given values of y.
So,
1. (2y + 3) − 4 = 9
For y=4
[2(4)+3]-4=9
(8+3)-4=9
11-4=9
7=9
Not true for 4
For y=5
[2(5)+3]-4=9
(10+3)-4=9
13-4=9
9=9
True for 5
2. 4y − y + 1 = 13
For y=4
4(4)-4+1=13
16-4+1=13
13=13
True for 4
3. 4y + (y − 1) = 29
As we have already used 4 and 5 we will check for 6 and onwards
For y=6
6(4)+(6-1)=29
24+5=29
29=29
So the equations in decresing order of y that make them true are:
4y + (y − 1) = 29
(2y + 3) − 4 = 9
4y − y + 1 = 13 ..
2(P+1)+3(P+2)>2
Distribute
2P+2+3P+6>2
Simplify
5P+8>2
Subtract 8 from both sides
5P>-6
Divide both sides by five
P>(-6/5)
Turn to mixed number and you're done.
P>-1 and 1/5