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3 years ago

What's the slope and y-intercept? Help please!!

Mathematics

1 answer:

USPshnik [31]3 years ago

8 0

3.
Slope is 1
Y- Intercept is 1
4.
Slope is 4/3
Y-Intercept is -4

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Please help me!!!! with both

loris [4]

Answer:

Part 11) $a_n=a_{n-1}-16$ , $a_1=17$

Part 2) 4+3i

Step-by-step explanation:

Part 11) write a recursive rule for the sequence

$17,1,-15,-31,...$

Let

$a_1=17\\a_2=1\\a_3=-15\\a_4=-31$

we know that

$a_2-a_1=1-17=-16$ ----> $a_2=a_1-16$

$a_3-a_2=-15-1=-16$ ----> $a_3=a_2-16$

$a_4-a_3=-31-15=-16$ ----> $a_4=a_3-16$

This is an arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).

In this problem the common difference is equal to $d=-16$

therefore

A recursive rule for the sequence is

$a_n=a_{n-1}+d$

substitute the value of d

$a_n=a_{n-1}-16$

where

$a_1=17$

Part 12) What is the complex conjugate of 4-3i?

we know that

The complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

we have that

the real part of the given number is 4 and the the imaginary part is -3i

the imaginary part equal in magnitude but opposite in sign is +3i

therefore

the complex conjugate of the given number is equal to

$4+3i$

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3 years ago

1_<2x-4

DaniilM [7]

Answer:

VB B.

Step-by-step explanation:

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1 year ago

Relationship A has a greater rate than Relationship B. This table represents

Oliga [24]

I think the answer is C and D..searched it up

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3 years ago

Read 2 more answers

5x - 7(2- 4x) = 8 - 3(6 - 6x) = 9a - 4(2a + 5) =

kati45 [8]

Answer:

the answer to 5x-7(2-4x)= =33x−14

the answer to 8 - 3(6 - 6x) ==18x−10

the answer to 9a - 4(2a + 5) ==a−20

Step-by-step explanation:

8 0

4 years ago

A line includes the points (10,-5) and (-10,-1). What is the equation in slope intercept form?

Elodia [21]

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{-10-10}\implies \cfrac{-1+5}{-20}\implies \cfrac{4}{-20}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-\cfrac{1}{5}(x-10) \\\\\\ y+5=-\cfrac{1}{5}x+2\implies y=-\cfrac{1}{5}x-3$

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3 years ago