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3 years ago

Question 10 of 10

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

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Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common

miss Akunina [59]

Answer:

It is an Arithmetic sequence

Common difference = 3/4

Step-by-step explanation:

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..

We are given the sequence:

1/2, 5/4, 2, 11/4.

We are to determine if this is an Arithmetic or Geometric sequence

Hence:

To determine if this is an Arithmetic sequence, we find the Common difference

Common difference = Second term - First term

= 5/4 - 1/2

Lowest Common Denominator = 4

= 5 - 2/4 = 3/4

or Third term - Second term

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

8 - 5/4

= 3/4

We have the same common difference.

To determine if this is an Geometric sequence, we find the Common ratio

Common ratio = Second term / First term

= 5/4 ÷ 1/2

5/4 × 2/1

= 5/2 = 2 1/2

or Third term /Second term

2 ÷ 5/4

2 × 4/5

= 6/5

= 1 1/5

It is not a geometric sequence

Therefore , the above sequence in the Question is an Arithmetic sequence.

7 0

3 years ago

The center of circle q has coordinates (-2, 1). if circle q passes through r (6, 7), what is the length of its diameter?

Oksana_A [137]

<h2>Diameter of a Circle</h2>

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

<h2>Solving the Question</h2>

We're given the centre and a point on the circumference: $(-2,1),(6,7)$ .

Find the distance between them using the distance equation:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plug in the given points:

$d=\sqrt{(-2-x_1)^2+(1-y_1)^2}\\d=\sqrt{(-2-6)^2+(1-7)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10$

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

<h2>Answer</h2>

20 units

7 0

2 years ago

For each situation, determine the slope and y-intercept if the graph of the equation that describes the situation.

Serggg [28]

So the slope is 200 as he gains $200 each day

and the y intercept is 500, since he receives the $500 only once

y = 200x + 500

5 0

3 years ago

Please help show work if you can

monitta

The answer is 1/3 because if you count what you have to roll compared to how many dice you get your answer

6 0

3 years ago

Can someone find the missing angle measure?

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

(a straight line is 180 degrees)

180-118=62 degrees

4 0

3 years ago