Let the numbers be x and y
x + y = 57 ........(i)
x - y = 13 ........(ii)
Add equations (i) and (ii) to eliminate y
x + y + x - y = 57 + 13
x + x + y - y = 57 +13
2x = 70
x = 70/2 = 35
From (i) x + y = 57
35 + y = 57
y = 57 - 35
y = 22
The numbers are 35 and 22.
Answer:
21
Step-by-step explanation:
21 plus 3 equals 24 divided by 2 equals 12
Is the a the question or are you adding it
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
9514 1404 393
Answer:
18 in
Step-by-step explanation:
The volume of each container is the product of its dimensions:
V = LWH
We can let h represent the unknown height of Container 2. The volumes are equal when ...
32·18·12 = 24·16·h
(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify
The missing height of Container 2 is 18 inches.
