Answer:
x² + (y + 8)² = 81
Step-by-step explanation:
Centre (h,k) = (0,-8)
radius (r) = 9
(x - h)² + (y - k)² = r²
(x - 0)² + (y + 8)² = 9²
x² + (y + 8)² = 81
The value of the given expression (3m - n)² + 4m when m = 63 and n = 45 is equal to 20,916.
<h3>What is an expression?</h3>
An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
<u>Given the following variables:</u>
Substituting the given variables into the given expression, we have;
Expression = (3m - n)² + 4m.
Expression = (3(63) - 45)² + 4(45).
Expression = (189 - 45)² + 180
Expression = 144² + 180
Expression = 20,736 + 180
Expression = 20,916.
Read more on expressions here: brainly.com/question/28260012
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Complete Question:
Evaluate the expression when m = 63 and n = 45. (3m - n)² + 4m.
Answer:

Step-by-step explanation:
Let the unknown angle be x
As the interior angles in a triangle are added up to 180°

Hope this helps you.
Let me know if you have any other questions:-)
Answer:
152
Step-by-step explanation:
Hello there!
The prism shown is a triangular prism
There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one
Formula: SA = bh + L(s1 + s2 + s3) (found in the image)
b = base length
h = height
L = length
s1 = (same thing as the base length)
s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)
The triangular prism has the following dimensions
b = 6
h = 4
L = 8
s2 and s3 = 5
Now that we have identified each dimension we plug in the values into the formula
SA = 6*4 + 8(6+5+5)
6*4=24
8*6=48
8*5=40
40*2=80
80+48=128
128 + 24 = 152 so the surface area of the triangular prism is 152 cm²
Answer:
72
Step-by-step explanation:
the number in the middle