Answer:
D
Step-by-step explanation:
To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.
Complete the square by dividing each term -14x and 10y in two. Then square each.
-14/2 = -7 and -7² = 49
10/2 = 5 and 5² = 25
The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.
We simplify the equation into (x-7)² + (y + 5)² = 324.
324 is the value of radius squared. Take the square root to find the radius.
√324 = 18
The radius is 18 units.
Answer:
D
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
x² = 39 ( take the square root of both sides )
x = 
→ D
The 8th term of the geometric sequence is 13122x^22
<h3>Explicit form of a geometric sequence</h3>
The explicit form of a geometric sequence is expressed according to the equation;
Tn = ar^n-1
where
r is the common ratio
a is the first term
n is the number of terms
Given the sequence below;
6x,18x^4,54x^7
r = 18x^4/6x
r = 3x^3
a = 6x
n = 8
Substitute to have:
T8 = 6x(3x^3)^8-1
T8 = 6x (3x^3)^7
T8 = 13122x^22
Hence the 8th term of the geometric sequence is 13122x^22
Learn more on geometric sequence here: brainly.com/question/24643676
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V=9 1/20, because when you multiply 4/5 by 4 and 1/4 by 5 to get a common denominator you get 21/20. You add the 3 and the 5, and add the one we got from the fractions and add the 1/20 to get 9 1/20
I wanna say (C) would be your best bet correct me if I’m wrong
