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2 years ago

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What is the difference from point F at (2,-3) to point G at (9,-3)? Show all work.

1 answer:

LenaWriter [7]2 years ago

5 0

A 7 units. -3 is the same in each, so you just find the difference between 9 and 2

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2 years ago

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BaLLatris [955]

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be ${\sf T_n}$ is given by ;

${\boxed{\bf T_{n}=T_{1}+(n-1)d}}$

Where , <u>d</u> is the common difference

Now , here we are given with ;

${\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}$

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

${: \implies \quad \sf T_{1}+(5-1)d=T_{5}}$

Putting the values and transposing 1st term to RHS , we have ;

${: \implies \quad \sf 4d = -4-8}$

${: \implies \quad \sf d=-\dfrac{12}{4}}$

${: \implies \quad \sf d=-3}$

Now , as we got the common difference , so we can find out the missing terms now ;

${: \implies \quad \sf T_{2}= T_{1}+(2-1)d}$

${: \implies \quad \sf T_{2}= 8 +d}$

${: \implies \quad \sf T_{2}= 8-3}$

${: \implies \quad \bf \therefore \: T_{2}= 5}$

Now

${: \implies \quad \sf T_{3}= T_{1}+(3-1)d}$

${: \implies \quad \sf T_{3}= 8 +2d}$

${: \implies \quad \sf T_{3}= 8-6}$

${: \implies \quad \bf \therefore \: T_{3}= 2}$

Also ,

${: \implies \quad \sf T_{4}= T_{1}+(4-1)d}$

${: \implies \quad \sf T_{4}= 8 +3d}$

${: \implies \quad \sf T_{4}= 8-9}$

${: \implies \quad \bf \therefore \: T_{4}= -1}$

Now , The given table can be written as ;

${\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}$

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

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2 years ago

Jake sold 28 tickets to the the school fair and Jeanie sold 21 tickets. What is the ratio in the simplest for of the number of t

HACTEHA [7]

A. 3/4, you just have to simplify 21/28

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3 years ago

Use long division to find the quotient below (30x^3+4x^2-150) / (6x-10)

Anni [7]

Answer:

The answer is

A $.5x^2+9x+15$

Step-by-step explanation:

kindly find attached the solving for proper understanding and solution flow.

Given Data

the divisor= $6x-10$

dividend= $30x^3+4x^2-150$

firstly for us to perform the division we need to re write the dividend and include the missing coefficient of x

dividend $=30x^3+4x^2+0x-150$

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What is the probability of landing on red and rolling a number greater than 2?

Sedaia [141]

Answer: 1/4 I think

Step-by-step explanation:

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2 years ago