X²>49
well, I don't know a formula but this is how I would solve it
I first solve x²=49 to obtain x=+/-7
so then would it be x>+/-7?
if we try 8 it works
if we try -9 it works
so answer is x>+/-7
basically x<-7 or x>7
Answer:
The radius of this circle is
and the central angle of the sector is
.
Step-by-step explanation:
Consider the provided information.
If a conical paper funnel is made out of a sector of circle then the radius of the sector becomes the slant height of the cone, and the length of the curved part of the sector becomes the circumference of the base of the cone.
First find the slant height: 



Thus, the radius of the sector is
which is same as the slant height of the cone.
Now, the circumference of the base of the cone is same as the length of the curved part.


The length of the curved part = 



Hence, the radius of this circle is
and the central angle of the sector is
.
Hey!
To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
3 ( x - 4 ) ≥ 5x + 2
<em>New Equation {Changed by Distribution} :</em>
3x - 12 ≥ 5x + 2
Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.
<em>Old Equation :</em>
3x - 12 ≥ 5x + 2
<em>New Equation {Changed by Adding 12 to Both Sides} :</em>
3x ≥ 5x + 14
Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.
<em>Old Equation :</em>
3x ≥ 5x + 14
<em>New Equation {Changed by Subtracting 5x From Both Sides} :</em>
-2x ≥ 14
Now we must inverse the inequality. To do that we multiply both sides by -1.
<em>Old Equation :</em>
-2x ≥ 14
<em>New Equation {Changed by Inverse} :</em>
2x ≤ -14
Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.
<em>Old Equation :</em>
2x ≤ -14
<em>New Equation {Changed by Dividing Both Sides by Two} :</em>
x ≤ -7
Seeing as the equation cannot be simplified any further, we have our answer.
<em>The value of x in the inequality </em><span><em>of 3 ( x – 4 ) ≥ 5x + 2, is </em> x </span>≤ -7.
Hope this helps!
- Lindsey Frazier ♥
Answer:
D. Y = x + 2
Step-by-step explanation:
The slope increases at a rate of 1 / 1, which is written as just x. The line starts at 2, which is at the y-intercept, a.k.a, where you get the +2 from.