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chubhunter [2.5K]
3 years ago
12

A line has a slope of -2 and a Y intercept of -3. Graph the line using the slope and y-intercept. Which of the following points

lie on the same line

Mathematics
2 answers:
Mariana [72]3 years ago
8 0

Answer:

(-1.5,0) , (-6,9) , (3,-9)

Step-by-step explanation:

I had the same question :)

nikdorinn [45]3 years ago
3 0
<h2>Greetings!</h2>

Answer:

(1.5 , 0) , (-6 , 9) , (3 , -9)

Step-by-step explanation:

First, you need to find the equation of the line, which is:

y = mx + c

Where m is the gradient (or slope) and c is the y-intercept. Simply replace these values with the one given to you:

y = -2x -3

Now, simply draw this line by finding two points,

x = 0

y = -2(0) - 3

y = -3 when x = 0

When x = 3

y = -2(3) - 3

y = -9 when x = 3

Now you can use these points to plot the graph. (attacthed a screenshot of it)

Now simply find which given co-ordinates fit on the line. The points on the line are:

(1.5 , 0) , (-6 , 9) , (3 , -9)


<h2>Hope this helps!</h2>

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the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
PSYCHO15rus [73]

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

6 0
3 years ago
For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2
svet-max [94.6K]

Answer:

The row with x = 2 and y = 4 is incorrect. The y value should be y = 3 when x = 2.

==============================================================

Explanation:

Fractions can be a bit of a pain, so I'm going to be converting to decimal form to help with the computation; however, I will convert the y value results to mix number form so that it matches what the table shows.

Keep in mind that 3/4 = 0.75 when you use a calculator or long division. So a number like 2.75 means 2 & 3/4 (two and three quarters)

---------------

Let's check the first row. Plug in x = 0 and it leads to...

y = (3/4)*x^2

y = (3/4)*0^2

y = (3/4)*0

y = 0.75*0

y = 0

This shows us that row 1 is correct. When x = 0, y = 0 leading to (x,y) = (0,0).

-------------

Repeat the same basic outline of steps, but now use x = 2

y = (3/4)*x^2

y = (3/4)*2^2

y = (3/4)*4

y = 0.75*4

y = 3

So instead of 4, the proper y value is y = 3 when x = 2. This means row 2 is the answer (the row that has the incorrect values).

-------------

For the sake of completeness, let's see if the third row is correct or not. Plug in x = 3

y = (3/4)*x^2

y = (3/4)*3^2

y = (3/4)*9

y = 0.75*9

y = 6.75

y = 6 & 3/4

We see that x = 3 points to y = 6 & 3/4, so we have the correct values in this row. We can cross this off the list of choices.

-------------

Finally, let's check x = 5

y = (3/4)*x^2

y = (3/4)*5^2

y = (3/4)*25

y = 0.75*25

y = 18.75

y = 18 & 3/4

We get the proper y value. So we can also cross this off the list.


5 0
3 years ago
The table models how the population of a city has changed over time.
lara31 [8.8K]
A. population in 1975 ........................
7 0
3 years ago
Read 2 more answers
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha
netineya [11]

Answer:

(a)\ Area = 195\pi

(b)\ Volume = 700\pi

Step-by-step explanation:

Given

h = 12

d_1 = 10 --- lower diameter

d_2 = 20 --- upper diameter

Solving (a): The curved surface area

This is calculated as:

Area = \pi l(r_1 + r_2)

Where

r_1 = 0.5 * d_1 = 0.5 * 10 = 5 --- lower radius

r_2 = 0.5 * d_2 = 0.5 * 20 = 10 --- upper radius

And

l = \sqrt{h^2 + (r_1 - r_2)^2 ---- l represents the slant height of the frustrum

l = \sqrt{12^2 + (5 - 10)^2

l = \sqrt{12^2 + (-5)^2

l = \sqrt{144 + 25

l = \sqrt{169

l = 13

So, we have:

Area = \pi l(r_1 + r_2)

Area = \pi * 13(5 + 10)

Area = \pi * 13(15)

Area = 195\pi

Solving (b): The volume

This is calculated as:

Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))

This gives:

Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))

Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))

Volume = \frac{1}{3}\pi * 12 * (175)

Volume = \pi *4 * 175

Volume = 700\pi

6 0
3 years ago
Which rules define the function graphed below? Edge
valentina_108 [34]

Answer:

B

Step-by-step explanation:

In the first part for every x, y is the value of x plus 2, while in the second part for every x. y is 5

4 0
2 years ago
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