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Anarel [89]
3 years ago
12

What is the sequence for g(1)=-29 g(n)=g(n-1)x(-4)

Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:

g(n) = -29×(-4)ⁿ⁻¹

Step-by-step explanation:

This the recursive formula of a sequence g :

g(1)=-29

g(n)=g(n-1)x(-4)

now ,we want to deduce the standard explicit formula of that sequence

It’s clear from the recursive formula (above) that  :

_The common ratio = -4

_the first term = -29

Then

the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹

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Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)
elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

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

Using distance formula, the distance between (-5,8) and (-3,1) is

d=\sqrt{(-3-(-5))^2+(1-8)^2}

d=\sqrt{(-3+5)^2+(-7)^2}

d=\sqrt{(2)^2+(-7)^2}

d=\sqrt{4+49}

d=\sqrt{53}

Therefore, the distance between two points (-5,8) and (-3,1) is \sqrt{53} units.

3 0
3 years ago
Find the value of X. Write your answer in simplest form.<br>What does X equal? ​
drek231 [11]

<u>Given</u>:

Given that the figure of similar triangles.

The altitude of the triangle is x.

The length of the left part is 30.

The length of the right part is 15.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the geometric mean theorem.

Thus, we have;

\frac{\text { left }}{\text { altitude }}=\frac{\text { altitude }}{\text { right }}

Substituting the values, we have;

\frac{30}{x}=\frac{x}{15}

Cross multiplying, we get;

30 \times 15= x^2

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Taking square root on both sides, we have;

15 \sqrt{2}=x

Thus, the value of x is 15√2

7 0
3 years ago
Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg
alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A'  hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?  

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,  

Hypotenuse: 3y

Leg: y+4  

Since the triangle A and B are congruent so, the sides of triangles are equal.

x+4=3y    (Hypotenuse are equal)  ..........[1]

and x=y+4   (Legs are equal)   ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

x+4=3y

y+4+4=3y

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x=y+4

x=4+4

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Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

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Triangle B,  

Hypotenuse: 3y=3(4)=12

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Both hypotenuses and both legs are equal hence they are congruent.

6 0
3 years ago
Elena went to a sporting goods store that was having a sale. She bought a tennis ball and 3 cans of tenis balls The tennis racke
Kazeer [188]

Answer: She will pay $52.68, including taxes

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can = 3 x 4 = 12

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discount = 0.15 x 43 = 6.45

total racket = 43 - 6.45 = 36.55

Elena will have to pay:

pay = 12 + 36.55 = 48.55

She will also have to pay taxes, which are 8.5% over the price she paid:

pay + tax = 48.55 x 0.085 = 4.13

total to pay = 48.55 + 4.13 = 52.68

Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.

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3 years ago
Which equation is a linear function??
Sever21 [200]
The third equation is linear
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