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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Answer:
m∠2 = 78°
Step-by-step explanation:
From the given picture,
lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.
∠1 and angle with the measure of 78° are corresponding angles.
Therefore, m∠1 = 78°
m∠1 = m∠2 [Vertical angles are equal]
m∠2 = 78°
Answer:
15 * 15 * 15 = 3375
Step-by-step explanation:
Volume of a cube = (side) * (side)* (side)
Answer:
Let's solve your system of equations by elimination.
8x+9y=48;12x+5y=21
Steps:
Multiply the first equation by 5,and multiply the second equation by -9.
5(8x+9y=48)
−9(12x+5y=21)
Becomes:
40x+45y=240
−108x−45y=−189
Add these equations to eliminate y:
−68x=51
Then solve−68x=51for x:
−68x
/−68
=
51
/−68 (Divide both sides by -68)
x= −3
/4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
8x+9y=48
Substitute
−3
/4
8x+9y=48:
8(
−3
/4
)+9y=48
9y−6=48 (Simplify both sides of the equation)
9y−6+6=48+6 (Add 6 to both sides)
9y=54
9y
/9 = 54
/9 (Divide both sides by 9) y=6
<em><u>Answer: x= −3
/4 and y=6</u></em>
Hope This Helps! Have A Nice Day!!
The answer would be 1.5 when rounded.