Answer:
Yes it is a function
Step-by-step explanation:
We have to check the ordered pairs to find out if given relation is a function or not.
In an ordered pair, the first element represents the input and the second element represents the output.
The set of inputs is domain and output is range.
For a relation to be function, there should be no repetition in domain i.e there should be unique pairs of input and output.
In the given relation, the domain is {3,5,-1,-2}.
No element is repeated hence it is a function ..
Answer:
12
+ 29x - 14
Step-by-step explanation:
(3x+2)(4x-7)
Multiply out 3x first then 2
(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)
12 - (- 21x) + 8x + ( -14)
12 + 21x + 8x - 14 Combine like terms
12 + 29x - 14
Answer:
<DAB = 120
Step-by-step explanation:
7)
<DAB = ?
<DAB + <DCB = 180
so
16x + 8 + 8x + 4 = 180
24x + 12 = 180
24x = 168
x = 7
<DAB = 16(7) + 8 = 120
Answer:
1/2
Step-by-step explanation:
3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2
Answer:
Area of composite figure = 216 cm²
Hence, option A is correct.
Step-by-step explanation:
The composite figure consists of two figures.
1) Rectangle
2) Right-angled Triangle
We need to determine the area of the composite figure, so we need to find the area of an individual figure.
Determining the area of the rectangle:
Given
Length l = 14 cm
Width w = 12 cm
Using the formula to determine the area of the rectangle:
A = wl
substituting l = 14 and w = 12
A = (12)(14)
A = 168 cm²
Determining the area of the right-triangle:
Given
Base b = 8 cm
Height h = 12 cm
Using the formula to determine the area of the right-triangle:
A = 1/2 × b × h
A = 1/2 × 8 × 12
A = 4 × 12
A = 48 cm²
Thus, the area of the figure is:
Area of composite figure = Rectangle Area + Right-triangle Area
= 168 cm² + 48 cm²
= 216 cm²
Therefore,
Area of composite figure = 216 cm²
Hence, option A is correct.
