Answer:

Step-by-step explanation:
From inspection of the graph, the given points are:
If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.
<u>General form</u> of a geometric sequence:

where:
- a is the first term
- r is the common ratio
is the nth term
Rewrite the given points as terms of the sequence:
- (2, 9) ⇒ a₂ = 9
- (3, 3) ⇒ a₃ = 3
- (4, 1) ⇒ a₄ = 1
To find the common ratio r, divide consecutive terms:

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:




Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

Learn more about geometric sequences here:
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Hello,
A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2
Slope of the perpendicular: 1
y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.
Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q
|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....
Next step would be 5x10x5
Answer:
C
Step-by-step explanation:
Here, we want to know if the table represents a proportional relationship
Looking at the table, if we multiply the x-terms by -4, we get the y-terms
So the answer here is that Yes, because all the ratios of y to x are equal to -4
Answer:
22
Step-by-step explanation:
To solve this we can plug the values in.
-2x-3y+z
-2(4)-3(-7)+(9)
Simplify.
-8+21+9
Add.
22