Answer:
A dilation factor of 1 over 2
Step-by-step explanation:
The smaller polygon is half the size of the original polygon
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
No intervals are showing, but here is how to solve this equation.
0.35x - 4.8 < 5.2 - 0.9x
Add 4.8 to both sides
0.35x < 10 - 0.9x
add 0.9x to both sides
1.25x < 10
divide both sides by 1.25
x < 8
Interval Notation:
If we graphed this on a number line, x goes toward negative infinity.
Answer: (-∞, 8)
Hope this helps! :)
Answer:
1. A leader has to show CURIOSITY. He has to listen to people outside of the “Yes, sir” crowd in his inner circle. The inability to listen is a form of arrogance. It means either you think you already know it all, or you just don’t care.
2. A leader has to be CREATIVE, go out on a limb, and be willing to try something different. Leadership is all about managing change … Things change, and you get creative. You adapt.
3. A leader has to COMMUNICATE. I’m talking about facing reality and telling the truth.
4. A leader has to be a person of CHARACTER. That means knowing the difference between right and wrong and having the guts to do the right thing.
5. A leader must have COURAGE. I’m talking about balls. (That even goes for female leaders.) Swagger isn’t courage. Tough talk isn’t courage. Courage is a commitment to sit down at the negotiating table and talk.
6. To be a leader you’ve got to have CONVICTION — a fire in your belly. You’ve got to really want to get something done.
7. A leader should have CHARISMA. People follow a leader because they trust him. That’s my definition of charisma.
8. A leader has to be COMPETENT. You’ve got to know what you’re doing. More important than that, you’ve got to surround yourself with people who know what they’re doing.
9. You can’t be a leader if you don’t have COMMON SENSE.
THE BIGGEST C IS CRISIS. Leaders are made, not born. Leadership is forged in times of crisis.
Step-by-step explanation:
