Answer:
B. False
Step-by-step explanation:
Given
Required
Is the distance between them 
Given that there are two points, the distance between them is calculated using
Distance = 
In this case;
Substitute these in the given formula
Distance = 
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form
First, before multiplying to cancel the fraction, let's isolate x by subtracting both sides by 3:
b/9 < 1
To cancel out the fraction, we multiply both sides by 9:
x < 9
Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
Ratio 1:2:3 means we have x, 2x and 3x as the three parts
x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7
Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21
Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer
If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3
As a check,
7+14+21 = 21+21 = 42
so it works out
