Answer:
<u>The square root of 198 is between 14 and 15.</u>
Step-by-step explanation:
Let's calculate the square root of 198, this way:
√198 = 14.07
<u>The square root of 198 is between 14 and 15.</u>
The function f(x) = mx + b is a linear function, and the values of m and b are -1/3 and 7/3, respectively
<h3>How to determine the values of m and b?</h3>
The function is given as:
f(x) = mx + b
The solutions are (1,2) and (-20,9)
The above points mean that:
1 * m + b = 2
-20 * m + b = 9
This gives
m + b = 2
-20m + b = 9
Subtract both equations
m + 20m = 2 - 9
Evaluate the difference and sum
21m = -7
Divide both sides by 21
m = -1/3
Substitute m = -1/3 in m + b = 2
-1/3 + b = 2
Add 1/3 to both sides
b = 2 + 1/3
Evaluate
b = 7/3
Hence, the values of m and b are -1/3 and 7/3, respectively
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
Do you mean 9^2 ⋅ 9^6 ???
If so
9^2 ⋅ 9^6 = 9^(2+6) = 9^8
Also
9^10 / 9^2 = 9^(10 - 2) = 9^8
Answer:
9 to the 10th power over 9 to the 2nd power would be equivalent to 9^2 ⋅ 9^6
Convex Polygon:
A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.
Lets simplify the given problem,
If we try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:
1070 =[n - 2] x 180, where n = number of sides
n = 7.94 number of sides. Since this is not a whole number, will simply round it up to 8.
Hence the number of sides is 8
Learn more about Convex Polygon on:
https://brainly.ph/question/14274548
#SPJ4