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valina [46]
3 years ago
8

What is the distance from the origin to the graph of 3x-y+1=0

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer:

Distance from the line to the origin = 1.05 units  (2 d.p)

Step-by-step explanation:

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What is the y-coordinate for the solution to the system of equations?<br><br> {y=1/2x−4<br> {y=−2x+1
katovenus [111]

Answer:

y = -3

Step-by-step explanation:

{y = x/2 - 4

y = 1 - 2 x

Substitute y = x/2 - 4 into the second equation:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

In the second equation, look to solve for x:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

Add 2 x + 4 to both sides:

{y = x/2 - 4

(5 x)/2 = 5

Multiply both sides by 2/5:

{y = x/2 - 4

x = 2

Substitute x = 2 into the first equation:

{y = -3

x = 2

Collect results in alphabetical order:

Answer:

{x = 2

y = -3

6 0
2 years ago
The circumference of a circle is 100.48 feet. What is the circle's diameter?
sweet-ann [11.9K]

Answer:

631.334460 ft

Step-by-step explanation:

i think

5 0
3 years ago
Read 2 more answers
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below an
blsea [12.9K]

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

3 0
3 years ago
Fifty-four is what<br> % of 60.
Rom4ik [11]

Answer:

I'm pretty sure it's 90%

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -
Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

 x +   y =  9

2x - 3y = 8.

Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y =    8

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

5x = 35, so that x = 7.  Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


6 0
3 years ago
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