A translation is a transformation that slides each point of a figure the same distance in the same direction. The lines connecting each point of the preimage to its image are congruent. One type of transformation that is not an isometry is called a dilation<span>.</span>
Answer:
The larger number is 5.
Step-by-step explanation:
Let the numbers be represented by x and y. Then:
x + y = 8 is their sum, and
x² + y² = 34 is the sum of their squares.
Let's solve this system of equations using substitution. Since x + y = 8,
x = 8 - y. Subbing this 8 - y for x into the second equation, we get:
(8 - y)² + y² = 34, or
64 - 16 y + y² + y² = 34
Simplifying, we get first: 30 - 16y + 2y² = 0, and then:
2y² - 16y + 30 = 0, and after reducing, y² - 8y + 15 = 0.
This factors into (y - 3)(y - 5) = 0, and so y = 3 and y = 5.
The larger number is 5.
Answer:
14
Step-by-step explanation:
P. parenthesis
E. exponent
M. multiplication
D. divide
A. add
S. subtract
