Shown in the attached figure
<h2>
Explanation:</h2>
The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:
So we need to use this function in order to obtain:
Recall that to translate a function vertically, we use the following rule:
And to translate a function horizontally, we use the following rule:
Since:
Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
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<h2>
Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
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Answer:
1) f
4 * ¼ = 1 (Multiplicative inverse property)
2) c
6 * 1 = 6 (Identity property of multiplication)
3) h
5 + 7 = 7 + 5 (Commutative property of addition)
4) j
If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)
5) a
4(x - 3) = 4x - 12 (Distributive property)
6) i
3(5) = 5(3) (Commutative property of multiplication)
7) k
Rules that allow us to take short cuts when solving algebraic problems.(Properties)
8) d
5 * (3 * 2) = (5 * 3) * 2 (Associative property of multiplication)
9) g
4 + (-4) = 0 (Additive inverse property)
10) e
2 + 0 = 2 (Identity property of addition)
11) b
A + (B + C) = (A + B) + C (Associative property of addition)
Answer:
- B. The constant in the expression is 1/2
Step-by-step explanation:
<u>Given formula for the area of a triangle</u>
<u>Statements to confirm</u>
A. The coefficient of is b.
- False. b is variable, 1/2 is coefficient
B. The constant in the expression is 1/2
C. There is one term in the expression.
- False. There are 3 terms, one constant and two variables
D. There is one variable in the expression.
- False. There are two variables, b and h
<em>Note. </em>
<em>Assumed 1/2 is given in Option B, otherwise all statements are false</em>.
The value of h is 11.3.
Solution:
Given data:
The triangle is a right triangle.
θ = 45° and opposite side of θ = 8
The value of sin 45° = 
Using trigonometric formula,
Do cross multiplication.
h = 11.3
The value of h is 11.3.
