Answer:
11. O = (-1, 5/2); 12. H = (1,4)
Step-by-step explanation:
11. Circumcentre
Your points form the vertices of a right triangle (see image below).
The circumcentre (O) of a right triangle must be at the midpoint of the hypotenuse.
Your hypotenuse has the ends at (-3,4) and (1,1), so
O = ((-3 + 1)/2),(4 + 1)/2))
O = (-2/2,5/2)
O = (-1, 5/2)
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12. Orthocentre
The orthocentre (H) of a right triangle is the vertex at the right angle.
Your right angle is at (1, 4), so
H= (1,4)
The simplified form of the function will be (√10 - √10 + √15 - √21 ).
<h3>
What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be calculated as:-
(√2 + √3 ) ( √5 - √7 ) = √2 (√5 + √7 ) + √3 ( √5 - √7 )
= √2√5 + √2√7 + √3√5 - √3√7
= √10 + √14 + √15 - √21
Therefore simplified form of the function will be (√10 - √10 + √15 - √21 ).
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Answer:
The answer to your question is diameter = 19.7 in
Step-by-step explanation:
Data
Circumference = 62 in
diameter = ?
Process
1.- Write the formula of Circumference, remember that circumference = perimeter.
Perimeter = 2πr
2.- Equal the equation to the value given
2πr = 62
-Solve it for r
r = 62/2(3.14)
-Result
r = 62/6.28
r = 9.87 in
3.- Find the diameter
diameter = 2r
diameter = 2(9.87)
diameter = 19.7 in
Ok the question dosent make sence you said hundreds place but it only goes up to tenths so if we were going by tenths place the answer would be 70
i hope i helped