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Novay_Z [31]
3 years ago
6

Please someone help me I’m confused

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

a2 =14

a4 = 22

a11 = 50

Step-by-step explanation:

an = 10 + (n-1) *4

n is the term number

Let n =2

a2 = 10 +(2-1)*4 =10 +(1)*4 = 14

Let n =4

a4= 10 + (4-1)*4 = 10 *3*4 = 10+12 = 22

Let n = 11

a11 = 10 +(11-1)*4 = 10 *10*4 = 10+40 = 50

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8 0
1 year ago
Each month, Anna pays $630 in rent. How much rent does she pay over the course of 18 months?
Ilia_Sergeevich [38]

Answer:

$11,340

Step-by-step explanation:

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Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length
Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

Equation of parabola:   y=k (x-\frac13)^2

<u />

<u>Part 1</u>

If the curve passes through point (\frac23 ,1), this means that when x=\dfrac23, y = 1

Substitute these values into the equation and solve for k:

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Apply the exponent rule \left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c} :

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\implies 1=\dfrac{1}{9}k

\implies k=9

<u>Part 2</u>

  • The chord of a parabola is a line segment whose endpoints are points on the parabola.  

We are told that one end of the chord is at (\frac23 ,1) and that the chord is horizontal.  Therefore, the y-coordinate of the other end of the chord will also be 1.  Substitute y = 1  into the equation for the parabola and solve for x:

\implies 1=9 \left(x-\dfrac13 \right)^2

\implies \dfrac19 = \left(x-\dfrac13 \right)^2

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Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:  

\implies \dfrac23-0=\dfrac23

**Please see attached diagram for drawn graph. Chord is in red**

6 0
1 year ago
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harkovskaia [24]

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8 0
1 year ago
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Answer:

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Step-by-step explanation:

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3 years ago
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