Answer: 5x-13-(4x+2x)
Step-by-step explanation:
Given:
Two endpoints of a diameter of a circle:
P (-7, -10)
Q (3, 2)
a) To find the center of the circle, find the midpoint of the two points:
midpoint:
(x2 - x1 )/ 2 , (y2 - y1) / 2
x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5
Therefore, the center of the circle is at C(4.5, 6.5)
b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.
d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2
Ratios equivalent to 5:1 are
10:2
15:3
Answer:
D
Step-by-step explanation:
So we have the expression:

And we want to evaluate it when x=25, y=10, w=11, and z=18.
So, substitute these values for the variables:

First, subtract within the parentheses:

Square 15:

Now, multiply the terms on the right. 10 times 11 is 110:

Multiply:

Finally, add:

So, our answer is D.
And we're done!
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as

compute the differences of all the adjacent terms

The difference between all the adjacent terms is the same.
Thus,

and

Therefore, the nth term is computed by:


Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.