Answer:
(h, k) is the point that represents the vertex of this absolute value function
Step-by-step explanation:
Recall that the vertex of an absolute value function occurs when the expression within the absolute value symbol becomes "zero", because it is at this point that the results in sign differ for x-values to the left and x-values to the right of this boundary point.
Therefore, in your case, the vertex occurs at x = h, and when x = h, then you can find the y-value of the vertex by looking at what f(h) renders:
f(h) = a | h - h | + k = 0 + k = k
Then the point of the vertex is: (h, k)
Answer:
9
Step-by-step explanation:
Distance between two points is given as;
Square root [(X2-x1) 2+ (y2-y1)2]
= (6-(-3))2 +(-4-(-4))2
=Square root (81 +0)
=9
X+5 ≤ -17
Or if it’s y instead of x put that.
Hope this helps though
Answer:

Step-by-step explanation:
→ State the gradient formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Find x₁ , x₂ , y₁ and y₂
x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20
→ Substitute in the values

→ Simplify

Answer:
32
Step-by-step explanation:
Calculation for how much birdseed does she have left over
First step
(3*8*6*12) - 4-2*30
Second step
=[24+6*(10+2)] - 4-60
Third step
Let remove the bracket of (10+2)
=[24+6*10+6*2] - 4-60
Fourth step
=(24+60+12) - 4-60
Fifth step
=(84+12)-4-60
Sixth step
=96-4-60
Seventh step
=92-60
=32
Therefore the amount of birdseed that she have left over will be 32