Ask question

Ask question

All categories

Oksi-84 [34.3K]

4 years ago

12

Write the characteristics of a point in Quadrant IV. a. Both coordinates are positive. b. Both coordinates are negative. c. The

x-coordinate is positive and the y-coordinate is negative. d. The x-coordinate is negative and the y-coordinate is positive.

1 answer:

Vlad1618 [11]4 years ago

4 0

Answer:

C

Step-by-step explanation:

x-coordinate is positive while the y-coordinate is negative

You might be interested in

150 - x - 2x = 120 + 2x

Svetach [21]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

150 - x - 2x = 120 + 2x

Step 2: Solve for <em>x</em>

Combine like terms: 150 - 3x = 120 + 2x
Add 3x to both sides: 150 = 120 + 5x
Subtract 120 on both sides: 30 = 5x
Divide both sides by 5: 6 = x
Rewrite: x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

150 - 6 - 2(6) = 120 + 2(6)

144 - 12 = 120 + 12

132 = 132

5 0

3 years ago

Find the smallest number which must be added to the following numbers so as to make them a perfect square 4931

Feliz [49]

Answer:

110.

Step-by-step explanation

4900 = 70^2

71^2 = 5041

5041- 4931 = 110

Answer is 110

6 0

4 years ago

Read 2 more answers

1.The earnings of a worker is shown by the graph below. Using this graph, answer the questions that follow.

worty [1.4K]

Answer:

a. $y = 2x$

b. The slope represents the common difference

c. $a_n = 2n$

d. $a_{10} = 20$

Step-by-step explanation:

Given:

The graph

<u>Solving (a): The equation</u>

First, we pick any two corresponding points on the graph

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

Next, we calculate the slope using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{2-4}{1-2}$

$m = \frac{-2}{-1}$

$m=2$

The equation is then calculated as:

$y - y_1 = m(x - x_1)$

$y - 2 = 2(x - 1)$

$y - 2 = 2x - 2$

Make y the subject

$y = 2x - 2+2$

$y = 2x$

<u>(b) Interpret the slope</u>

In (a) above, the slope is calculated as: $m=2$

This represents the common difference of the sequence;

<u>(c) Represent as an arithmetic sequence</u>

We have the following points from the graph:

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

$(x_3,y_3) = (3,6)$

This means that: The first term is 2; the second is 4, the third is 6.....

So, we have:

$a_1 = 2$ --- First Term

$d = a_2 - a_1 = 4 - 2 = 2$ --- Difference

The nth term of an AP is:

$a_n = a_1 + (n - 1)d$

This gives:

$a_n = 2 + (n - 1)*2$

$a_n = 2 + 2n - 2$

Collect Like Terms

$a_n = - 2+2 + 2n$

$a_n = 2n$

<u>(d) Find a10</u>

To do this, we simply substitute 10 for n in $a_n = 2n$

So, we have:

$a_{10} = 2 * 10$

$a_{10} = 20$

8 0

3 years ago

What is the value of 5x+3 when x=4?<br> 9<br> 12<br> 23<br> 60

liberstina [14]

Answer:

23

Step-by-step explanation:

substitute x = 4 into the expression

5x + 3 = 5(4) + 3 = 20 + 3 = 23

7 0

2 years ago

Read 2 more answers

Solve the equation for x by graphing.

jekas [21]

I'm pretty sure the answer is C. x ~ 2.25

3 0

3 years ago

Read 2 more answers