Answer:
C
Step-by-step explanation:
The line on the left has equation y = x - 2
The start of the line has an open circle at x = 3 meaning that x ≠ 3
The line is defined as y = x - 2 for x < 3
The line on the right has equation y = x - 1
The start of the line has a closed circle at x = 3 meaning that x can equal 3
The line is defined as y = x - 1 for x ≥ 3
Thus the definition of the function is C
Using translation concepts, it is found that:
The length of the resulting line segment will be the same as the length of the original line segment since translations do not change the lengths of line segments.
<h3>What is the translation of a figure?</h3>
The translation of a figure happens when the entire figure moves either <u>left, right, up or down</u>.
A translation changes just the position of the figure, not the lengths, hence the statement is completed as follows:
The length of the resulting line segment will be the same as the length of the original line segment since translations do not change the lengths of line segments.
More can be learned about translation concepts at brainly.com/question/28174785
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Answer:
answer: All real numbers, or No solutions
Step-by-step explanation:
okay, the equation says 4(x+4)=(4x+16)
if we apply 4 to the parenthesis we get 4*(x+4)=4x+16
so basically the equation is telling us 4x+16=4x+16, which gives us all real numbers or No solutions as the answer
Answer:
The simplyfied version would be 19/4
Show of work:
(1/4)^-2 = 4^2
3 × 8^2/3 × 1 = 12
(9/16)^1/2 = 3/4
4^2 - 12 + 3/4
Convert elements to fractions:
-12 × 4 + 3
---------- ----
4 4
Since the denominators are equal combine the fractions:
-12 × 4 + 3
---------------
4
-12 × 4 + 3 = -45
= -45/4
=4^2 - 45/4
4^2 = 16
16 - 45/4
16 × 4 - 45. 16 × 4 - 45
--------- ----- ----------------
4 4. 4
-> 16 × 4 - 45 = 19
= 19/4
Answer:
Option C is correct.
Step-by-step explanation:
We need to find reference angle and signs of sinФ, cosФ and tanФ
We know that 
is equal to 150°
and 150° is in 2nd quadrant.
So, Ф is in 2nd quadrant.
And In 2nd quadrant sine is positive, while cos and tan are negative
The reference angle Ф' is found by: π - Ф
=> Ф = 5π/6
so, Reference angle Ф' = π - 5π/6
Ф' = 6π - 5π/6
Ф' = π/6
So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.
