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Kryger [21]
3 years ago
14

S=a+(n-1)d,solve for d​

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:\frac{s-a}{n-1}

Step-by-step explanation:

formula, s=a+(n-1)d

1. get rid of the a on d's side by subtracting it from both sides.  

s=a+(n-1)d   becomes s-a=(n-1)d

2. get rid of (n-1) by dividing it from both sides. s-a=(n-1)d   becomes  

\frac{s-a}{n-1} =d  

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What is 4 to the power of -3 with work pls
hoa [83]

4^-3

= 1/4^3

=1/64

=0.015625


7 0
4 years ago
Translate 22% of b into an expression
romanna [79]

Answer:

11/50b

Step-by-step explanation:

22% of b = 22/100×b

= 11/50b

3 0
4 years ago
First correct response gets brainliest
Simora [160]

Answer:

x = 13

Step-by-step explanation:

This question is based on Secant Secant theorem.

Secant Secant theorem gives us the following formula:

(AB + BD)AB = (AC + CE).AC

From the above question we have the following parameters

AB = 5

BD = x

AC = 7.5

CE = 4.5

Hence,

(AB + BD)AB = (AC + CE).AC

(5 + x)5 = (7.5 + 4.5)7.5

25 + 5x = 90

Collect like terms

5x = 90 - 25

5x = 65

x = 65/5

x = 13

5 0
3 years ago
Iterations question please help
nataly862011 [7]

Answer:

option d

{ 4, 8 , 16 , 32 }

Step-by-step explanation:

Given in the question a function

f(x) = 2x

initial valuex_{0}=2

First iteration

f(2) = 2(2)

     = 4

x_{1}=4

Second iteration

f(4) = 2(4)

     = 8

x_{2)=8

Third iteration

f(8) = 2(8)

     = 16

x_{3)=16

fourth iteration

f(8) = 2(16)

     = 32

x_{4}=32

6 0
3 years ago
A planet follows an elliptical path described by 16 x squared + 4 y squared = 64. A comet follows the parabolic path y equals x
saul85 [17]

Answer:

The comet might intersect the orbiting planet at (0, -4),(\pm\frac{\sqrt{31}}{2},\frac{15}{4}).

Step-by-step explanation:

Given that, a planet follows an elliptical path described by

16x^2+4y^2=64 .........(1)

A comet follows the parabolic path

y=x^2-4

x^2=y+4.........(2)

To find the intersecting point, we need to solve the above equations.

Putting  x^2=y+4  in the equation (1)

y+4+4y^2=64

\Rightarrow 4y^2+y+4-64=0

\Rightarrow 4y^2+y-60=0

\Rightarrow 4y^2+16y-15y-60=0

\Rightarrow 4y(y+4)-15(y+4)=0

\Rightarrow(y+4)(4y-15)=0

\Rightarrow y=-4, \frac{15}{4}

When y = -4 , then x^2=-4+4 \Rightarrow x=0

When y=\frac{15}{4}, then x^2=\frac{15}{4}+4 \Rightarrow x=\pm \frac{\sqrt{31}}{2}

The comet might intersect the orbiting planet at (0, -4),(\pm\frac{\sqrt{31}}{2},\frac{15}{4}).

5 0
3 years ago
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