The standard form of a linear equation is ax by = c. if b = 0 and a and c are positive, which best describes the graph of this equation? the graph is a vertical line. the graph is a horizontal line. the graph is a line with a positive slope. the graph is a line with a negative slope.

Answers

Answer 1

Answer: I think the correct answer from the choices listed above is the first option. The standard form of a linear equation is ax + by = c. If b = 0 and a and c are positive, then the graph is a vertical line which will be equal to c/a. Hope this answers the question. Have a nice day.

Answer 2

Answer: the answer to this is (A)

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A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Answers

For this case we have the following recursive formula:
$f (n + 1) = f (n) - 2$
What we must do in this case is to evaluate different values of n until we find f (5)
We have then:
For n = 1:
$f (1 + 1) = f (1) - 2 f (2) = f (1) - 2 f (2) = 18 - 2 f (2) = 16$
For n = 2:
$f (2 + 1) = f (2) - 2 f (3) = f (2) - 2 f (3) = 16 - 2 f (3) = 14$
For n = 3:
$f (3 + 1) = f (3) - 2 f (4) = f (3) - 2 f (4) = 14 - 2 f (4) = 12$
For n = 4:
$f (4 + 1) = f (4) - 2 f (5) = f (4) - 2 f (5) = 12 - 2 f (5) = 10$
Answer:
The value of the recursive formula for f (5) is given by:
$f (5) = 10$

$f(2)=18-2=16\n f(3)=16-2=14\n f(4)=14-2=12\n \boxed{f(5)=12-2=10}$

Which values from the given replacement set make up the solution set of the inequality?m+7<18 ; {8, 9, 10, 11}

{8, 9}

{10, 11}

{8, 9, 10}

{9, 10, 11}

Answers

Answer:

8,9 10

Step-by-step explanation:

when u add them they are all less than 18

Find the slope of the graph

Answers

Answer:

No image please add it on your next question.

I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 less than 3 times the sum of my ones digit and tens digit. My thousands digit is half my hundreds digit, and the sum of those two digits is 9. What number am I?

Answers

I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n₂ = 1/2 * n₃

n₂ + n₃ = 9

Therefore:

n₂ = 9 - n₃

Therefore:

9 - n₃ = 1/2 * n₃

9 = 1/2 * n₃ + n₃

9 = 1.5 * n₃

Therefore:

n₃ = 6

If n₃=6, n₂=3.

This means that:

n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611

Amanda composed two songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 286 seconds. How long is the shorter song?

Answers

If there are two songs written and the longest one is 126 seconds less than twice the length of the short song, and the longest one lasts 286 seconds, then the shorter song's length can be found using this formula:
2x-126=286.
This would then turn into x-63=143 to show the time difference. Solving here for x, would be 206 seconds.

Hide and Seek

Ding Dong

I know you can hear me

Open up the door

I only want to play a little

Ding Dong

You can't keep me waiting

It's already too late

For you to try and run away

I see you through the window

Our eyes are locked together

I can sense your horror

Though I'd like to see it closer

Ding Dong

Here I come to find you

Hurry up and run

Let's play a little game and have fun

Ding Dong

Where is it you've gone to?

Do you think you've won?

Our game of hide and seek has just begun

I hear your footsteps

Thumping loudly through the hallways

I can hear your sharp breaths

You're not very good at hiding

Just wait, you can't hide from me

(I'm coming)

Just wait, you can't hide from me

(I'm coming)

Just wait, you can't hide from me

(I'm coming)

Just wait, you can't hide from me

Knock Knock

I am at your door now

I am coming in

No need for me to ask permission

Knock Knock

I'm inside your room, now

Where is it you've hid?

Our game of hide and seek's about to end

I'm coming closer

Looking underneath your bed but

You're not there, I wonder

Could you be inside the closet?

Ding Dong

I have found you

Ding Dong

You were hiding here

Now you're it

Ding Dong

Finally found you, dear

Now you're it

Ding Dong

Looks like I have won

Now you're it

Ding Dong

Pay the consequence

Ding Dong

Looks like I have won

Now you're it

Ding Dong

Pay the consequence

The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. What is the equation of this circle in standard form?

Answers

$Center\ of\ the\ circle\ is\ the\ midpoint\ AB\ where\ A(-2;\ 4)\ \&\ B(4;\ 2)\n\ncenter:O\left((-2+4)/(2);\ (4+2)/(2)\right)\to O(1;\ 3)\n\nRadius\ of\ the\ circle\ is\ distance\ O\ to\ A:\n\nr=|OA|=√((-2-1)^2+(4-3)^2)=√(9+1)=√(10)\n\nEquation\ of\ a\ circle:\n\n(x-a)^2+(y-b)^2=r^2\ whete\ center\ is\ (a;\ b)\ and\ radius\ is\ r.\n\nEquation\ of\ this\ circle:\n\n(x-1)^2+(y-3)^2=(√(10))^2\n\n(x-1)^2+(y-3)^2=10$

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