absolute value graph looks like a V, with the vertex at the origin.
1. the domain (x-values) is: (∞, ∞) TRUE
2. the range (y-values) starts at the vertex: [0, ∞) FALSE
3. the function decreases when left of vertex and increases when right of vertex: decreases (-∞, 0) TRUE
4. f(x) = |x| = +/-x
f(-x) = |-x| = +/-x
f(x) = f(-x) so the function is even TRUE
5. every x-value has a corresponding y-value (there are no gaps) so the function is continuous. TRUE
Answers: 1, 3, 4, 5
X=time of the third person it would take to fill the pool
We can suggest this equation:
6[(1/20) + (1/15) +(1/x)]=1
6[(3x+4x+60)/60x]=1
(7x+60)/10x=1
7x+60=10x
7x-10x=-60
-3x=-60
x=-60/-3
x=20
Answer: the third person alone would fill the pool in 20 hours .
Solution,
As we have,
⇒2SinACosB=Sin(A+B)+Sin(A-B)
Now,

<em>Hence, LHS=RHS</em>
Answer:
The value of AD=1 and DC=3
Step-by-step explanation:
Given: ΔABC, D∈ AC m∠ABC=m∠BDA, AB=2, AC=4
Diagram: Please find attachment.
To find: AD=? and DC=?
Calculation:
In ΔABC and ΔADB
∠ABC=∠ADB (Given)
∠A=∠A (Common)
Therefore, ΔABC ≈ ΔADB by AA similarity
If two triangles are similar then ratio their corresponding sides are equal
Therefore,

where, AD=?, AB=2, AC=4


AD=1
AD+DC=AC
1+DC=4
DC=4-1
DC=3
Hence, The value of AD=1 and DC=3
2/4 this is a half also known as 1/2 Hope this helps!!!!!!!!!!!!!!!!!!!!!!!!