A(-4, 2) and B(3, -2).
I will do number 2.
Let d(A, B) = distance between the two points.
d(A, B) = sqrt{(3 -(-4))^2 + (-2-2)^2}
d(A, B) = sqrt{(3 + 4))^2 + (-2-2)^2}
d(A, B) = sqrt{(7)^2 + (-4)^2}
d(A, B) = sqrt{49 + 16}
d(A, B) = sqrt{65}
Done!
The length of the rectangle equals 80 cm, and the width equals 32 cm.
Divide the length to the width, we get the ratio between them :
80 : 32
Now, we simplify by dividing them both by the same number, in this case it's 16
=> 80 : 32 = (80 : 16) : (32 : 16) = 5:2
So, the ratio between the length and the width is 5:2
Answer:
I think it is 8! Sorry if it's wrong!
Answer:
The final answer is NO, i.e. He does not have at least 500 cans.
Step-by-step explanation:
He organizes the cans in 6-by-8 arrays.
The number of elements in the array can be found by finding the multiplication of its Rows numbers with its Columns numbers.
Given the array is of order 6-by-8. So the elements in the array = 6x8 = 48 elements.
And he has 10 of these arrays. So total cans = 48 x 10 = 480 cans.
Hence, the final answer is NO, i.e. He does not have at least 500 cans.
Answer:
The other sides of the square are
8x+12+16+8x,(8x+8x)+(12+16) and 16x+28
Step-by-step explanation:
Square:
- The all sides of a square equal.
- The sum of four angles is 360°.
- The diagonals bisect each other.
- The length of diagonals are equal.
Distributive property:
a(b+c)= ab+ac
Commutative property:
a+b= b+a
Like terms:
Like terms are terms that have the same variables and the power of the variable also same.
Given the length of the side is
=4(2x+3)+16+8x
=4.2x+4.3+16+8x [ Apply distributive property]
=8x+12+16+8x
=(8x+8x)+(12+16) [ separating like terms]
=16x+28 [Adding like terms]
The other sides of the square are
8x+12+16+8x,(8x+8x)+(12+16) and 16x+28
