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3 years ago

What is the equation of a line that passes through (-6, 2) and has a slope of `-(1)/(2)` ?

Mathematics

1 answer:

Shtirlitz [24]3 years ago

8 0

Answer:

The answer to your question is the letter B. y = -1/2x - 1

Step-by-step explanation:

Data

A (-6, 2)

slope = m = -1/2

Formula

y - y1 = m(x - x1)

x1 = -6 y1 = 2

Substitution

y - 2 = -1/2(x + 6)

Expand

y - 2 = -1/2x - 6/2

Simplify

y - 2 = -1/2x - 3

Solve for y

y = -1/2x - 3 + 2

Result

y = -1/2x - 1

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The infinite sequence $T=\{t_0,t_1,t_2,\ldots\}$ is defined as $t_0=0,$ $t_1=1,$ and $t_n=t_{n-2}+t_{n-1}$ for all integers $n&g

katrin [286]

$t_n$ are the Fibonacci numbers,

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Taken modulo 7, we get the sequence

0, 1, 1, 2, 3, 5, 1, 6, 0, 6, 6, 5, 4, 2, 6, 1, ...

that repeats with period 16 (this is known as the 7th Pisano period).

This is to say,

$t_a\equiv t_{16n+5}\equiv t_5\equiv5\pmod7$

$t_b\equiv t_{16n+10}\equiv t_{10}\equiv6\pmod7$

$t_c\equiv t_{16n+15}\equiv t_{15}\equiv1\pmod7$

so that

$(t_a+t_b+t_c)\equiv(5+6+1)\equiv\boxed5\pmod7$

6 0

3 years ago

The pirce of an item yesterday was$125 . Today, the price fell to 75. Find the percentage decrease.

Julli [10]

Answer:

Im sure the answer is 40%

GL Deary

Hope I helped!!!

<3

8 0

4 years ago

What would be the coordinates of Alif A(2, 4) was rotated 90 degrees clockwise? A-24) ,Α' (-4, 2) ,A(-2, -4) ,Α(-4, 2) Α(2, -4)

Marta_Voda [28]

The rule for rotation 90 degrees clockwise is (x,y)->(y,-x).
So your answer will be:
A’(4,-2)

3 0

3 years ago

Zoe thinks of a number. She multiplies it by 3 and adds 4. She gets the same answer when she adds 5 to the number and then multi

Fiesta28 [93]

Answer:

Zoe's number is 6

Step-by-step explanation:

Let the number be 'n'

a) Multiply 'n' by 3 ⇒ n*3 = 3n

Add 4 to '3n' ⇒ 3n + 4

Add 5 to 'n' ⇒ n +5

Multiply (n+ 5) by 2 ⇒ (n +5)*2 = 2n + 5*2 = 2n + 10

3n + 4 = 2n + 10

b) 3n + 4 = 2n + 10

Subtract 4 form both sides

3n = 2n + 10 - 4

3n = 2n + 6

Subtract 2n from both sides

3n - 2n = 6

$\sf \boxed{\bf n = 6}$

8 0

2 years ago

Read 2 more answers

I need help what is 145 marked up 175%

Ede4ka [16]

First you multiply 145 by 01.75 to get how much you add to the total. You add 253.75 to 145 and get 398.75 as the answer

7 0

3 years ago