Answer:
D
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)
r = 
= 
= 
= 
= 13 → D
Answer:
All real numbers / (-∞, ∞) / R
Step-by-step explanation:
The equasion provided is a linear equasion meaning it can be written in the y=ax+b format, where both a and b are real numbers. All linear eqasions have a range of all real numbers, you can write this using the three solutions provided.
You can solve this two ways, number one would be to put this in a graphing calculator and number two would be reducing the equasion to the y=ax+b format.
<h2>Method 1:</h2>
look at image provided. The app is PhotoMath.
<h2>Method 2:</h2>
Write the equasion:
y = -2x - 6x + 1
Collect like terms:
y = -8x + 1
This now proves that the equasion is linear becuase you can write it in the y=ax+b format. a being -8 and b being 1.
X - 3 < -9 x + 5 > = 12
x < - 9 + 3 x > = 12 - 5
x < - 6 x > = 7
open circle on -6, shaded to the left.....closed circle on 7, shaded to the right
<h3>
Answer: D) 4 units to the left, 6 units down</h3>
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
Answer:
O-2(x+5)
Step-by-step explanation:
I have to much time on my hands