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Yuliya22 [10]
3 years ago
14

If you are good at sequences in math please help I am giving more points

Mathematics
2 answers:
MaRussiya [10]3 years ago
6 0

Answer:

C. is the answer.

Step-by-step explanation:

Arithmetic sequences are linear.

So their slope is the same no matter the two points you choose.

We are given the following two points:

(7,71)

(16,26)

-----------

We can find the slope by subtracting vertically here and putting y difference on top of x difference.

71-26=45

7-16=-9

The slope is 45/-9=-5.

The equation so far is

a(n)=-5n+b

To find b we will use a known point on the line like (7,71):

71=-5(7)+b

71=-35+b

Add 35 on both sides:

106=b

The equation for the nth term is

a(n)=-5n+106

Now you could expand your choices to see switch matches.

Or you could write this equation into the form presented in the choices.

a(n)=-5(n-1+1)+106

a(n)=-5(n-1)-5+106

a(n)=-5(n-1)+101

Or

a(n)=101-5(n-1)

vodka [1.7K]3 years ago
4 0

Answer:

C. 101 - 5(n - 1)

Step-by-step explanation:

d = (26 - 71)/(16 - 7)

d = -45/9

d = -5

a7 = a1 + (7-1)(-5)

71 = a1 - 30

a1 = 101

an = 101 + (n - 1)(-5)

an = 101 - 5(n - 1)

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Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
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Andru [333]

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6 0
3 years ago
I need help please Asap
s2008m [1.1K]

Answer:

Step-by-step explanation:

1.

Equation one:

x = -5, x = -1 (Both are real)

Equation two:

No real solutions

Equation three:

x = -3 (Real)

Equation four:

No real solutions

2.

The easiest way to figure out if an equation has real solutions is to factor it. If it is factorable, then it has real solutions. If it isn't, then it doesn't have real solutions.

4 0
1 year ago
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

6 0
3 years ago
Start at (12, 3). Move 2 units right and 7 units up. Where do you end up?
Korolek [52]

Answer: (10, 10)

Step-by-step explanation: well if you say start at (12, 3) move 7 units up then 3 units right then it would make it easier to figure it out cus as you can see start at 3 and go up 7 it would stop at 10 then if you go over 2 from 12 it would stop at 10

6 0
3 years ago
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