Answer:
Step-by-step explanation:
Answer:
d=20
Step-by-step explanation:
To find the distance between 2 points we use the distance formula
d = √(x2 - x1)²+(y2 - y1)²
The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).
Substitute the given points into the distance formula.
d = √(4 + 8)²+(10 +6)²
d = √144+252
d= √400
d = 20
0.5a - 0.3 = 5
Add 0.3 to both sides:
0.5a = 5.3
Divide both sides by 0.5:
a = 10.6
Given:
For a function f, 
.
To find:
The coordinates of a point on the graph of f.
Solution:
We have,
It means the value of function f is 10 at -4.
On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,
x-coordinate = input value = -4
y-coordinate = output value = 10
Therefore, the required coordinates of a point on the graph of f are (-4,10).
Answer:
(2, -3) and r = 3.
Step-by-step explanation:
you can also plug this equation in desmos but I guess it's good to know how to do it also:
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2
Now in order to make a perfect square on both sides, we need to do this:
First add 9 to both sides:
x^2 + 6x + 9 + y^2 -4y +4 = 9.
I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:
(x+3)^2 + y^2 - 4y + 4 = 9.
now the second bolded part is allso a perfect square. Factor:
(x+3)^2 + (y-2)^2 = 9
Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.
:)
