Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
The upside down U means the numbers the sets have in common.
Do what is in parenthesis first:
(B ∩ C) = 6 is the only common number in set B and Set C.
A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).
The answer would be A) {1, 3, 5, 6, 7, 9}
The length of rectangle is 37.5 and width is 12.5
Step-by-step explanation:
Given,
Width of rectangle = w
Length of rectangle = 3w
Perimeter of rectangle = 100
Perimeter = 2(Length+Width)

Dividing both sides by 8

Width of rectangle = 12.5
Length of rectangle = 3(12.5) = 37.5
The length of rectangle is 37.5 and width is 12.5
Keywords: Rectangle, perimeter
Learn more about perimeters at:
#LearnwithBrainly
Answer:
The notation of decimals is the written form of base 10 place value.
Answer: If you're looking for the value of x, it's 1.
Step-by-step explanation:
Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x
Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x
Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x
Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x
Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2
Hope that helps!