5 over 8 divided 1 and 1 3rd equal
1 answer:
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To find the length of segment AC, we must find the total rise and total run between the two points.
Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:
The rise of this segment is 6.
To find the run, subtract the x-value of A from the x-value of C:
The run of this segment is 8.
We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:
The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:
Square root both sides to get c by itself:
The length of segment AC is 10.
Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:
The rise of this segment is 6.
To find the run, subtract the x-value of A from the x-value of C:
The run of this segment is 8.
We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:
The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:
Square root both sides to get c by itself:
The length of segment AC is 10.
Answer:
Step-by-step explanation:
Solve for z:
-2(z + 3) = -z - 4(z + 2)
-4(z + 2) = -4z - 8:
-2(z + 3) = -z -4z - 8
Grouping like terms, -z - 4z - 8 = (-z - 4z) - 8:
-2(z + 3) = (-z - 4z) - 8
-z - 4z = -5z:
-2 (z + 3) = -5z - 8
Expand out terms of the left hand side:
-2z - 6 = -5 z - 8
Add 5z to both sides:
(5z - 2z) - 6 = (5z - 5z) - 8
5z - 5z = 0:
(5z - 2z) - 6 = -8
5z - 2z = 3z:
3z - 6 = -8
Add 6 to both sides:
3z + (6 - 6) = 6 - 8
6 - 6 = 0:
3z = 6 - 8
6 - 8 = -2:
3z = -2
Divide both sides of 3z = -2 by 3: