Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
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Question 18 (5 points)
Identify the independent and dependent variables in the following situation: The
temperature of the water decreases as a diver descends to the bottom of a lake.
The independent variable is the temperature of the water, and the dependent
variable is the depth below the surface of the lake.
The independent variable is the depth below the surface of the lake, and the
dependent variable is the temperature of the water.
The independent variable is the speed at which the diver descends, and the
dependent variable is the temperature of the water.
The independent variable is the type of boat, and the dependent variable is the
temperature of the water.
Answer:
The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water
Step-by-step explanation:
Tempeture = depth x
310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product
power of a quotient
edge 2021
The law used to simplify the expression is quotient of powers.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,
3¹⁰ / 3⁴
For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.
By the definition we have the property of the power quotient of the same base set:
xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾
So, using the same,
3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶
Thus, to simplify the expression we must use the property of the power quotient of the same base.
Hence, the law used to simplify the expression is quotient of powers.
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