Points A(–3, –2) and C(4, 5) are the endpoints of a diagonal of a square. Give the coordinates of the other two vertices.
Answers
The coordinates of the other two vertices are:
(1/2 + √98, 3/2)
(1/2, 3/2 - √98)
If A(-3, -2) and C(4, 5) are the endpoints of a diagonal of a square, and since a square has equal sides and right angles, you can find the other two vertices by considering the properties of a square.
Let's calculate the midpoint of AC, which will be the center of the square. The midpoint of AC can be found by averaging the coordinates of A and C:
Midpoint M = ((-3 + 4) / 2, (-2 + 5) / 2) = (1/2, 3/2)
Now, we know the center of the square is at (1/2, 3/2).
To find the other two vertices, we'll move from the center in different directions.
Since a square has four equal sides, the distance from the center to any corner will be the same as the distance from A to C.
The distance between A and C can be found using the distance formula:
So, the distance from the center to any corner is √98.
Now, we can find the other two vertices by moving √98 units from the center in different directions.
One vertex is √98 units to the right of the center: (1/2 + √98, 3/2)
One vertex is √98 units below the center: (1/2, 3/2 - √98)
For similar question on vertices.
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Answer:
B(4,-2) D(-3,5)
Step-by-step explanation:
you must graph the points and project the lines in X and Y until they intersect and form a square
I attached an image
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10 + 2 = 12
-32 + 12 = -20.
-32+12=-20
Use "kcc"
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30+10x=70
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Because when you add 3 and four it equals 7
First you multiply 10 x 4 and get the answer 40
So 30 + 40= 70
Hope this helps!
10x = 70 - 30
10x = 40
x = 40/10
x = 4
Answers
the - sign before the first parentheses is a negative 1
you distribute the -1 into the parentheses
-1 multiplied by -1/2x is 1/2x and -1 multiplied by -1/2 is 1/2.
so now we have 2x-1/2x+1/2=8
you combine like terms (2x and -1/2x)
you get 1 1/2x+1/2=8
you subtract the 1/2 to get 1 1/2x= 7 1/2
you divide everything by 1 1/2.
the answer is x=5
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Answer:
NO
Step-by-step explanation:
Answer:
NO
Step-by-step explanation:
A direct variation is defined as when two numbers change but one is always a multiple of the other or if they always have a constant ratio.
Answers
Answers
AB = BC = 8
Therefore Angle B = 30 degrees
So, Angle A = 180 -30 -30
Angle A = equals 120 degrees
answer is B