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TiliK225 [7]
3 years ago
15

What is the equation of the following line written in general form?

Mathematics
2 answers:
DENIUS [597]3 years ago
8 0

Answer:

x-y+1=0

Step-by-step explanation:

To find the equation of the line , use the points from the graph of the line

(1,2) and (4,5)

First frame equation of the line y=mx+b

slope (m)=\frac{y_2-y_1}{x_2-x_1} =\frac{5-2}{4-1} =1

m=1, (1,2)

y=mx+b

2=1(1)+b

b=1

So equation of the line is

y=1x+1

General form is Ax+By+C=0

Subtract 1x from both sides

y=1x+1

-1x+y=1, subtract 1 from both sides

-1x+y-1=0

Divide whole equation by -1

x-y+1=0

strojnjashka [21]3 years ago
4 0
Eq. of line through (1,2) and (4,5) is
y-y1= \frac{y2-y1}{x2-x1} (x-x1),
y-2= \frac{5-2}{4-1} (x-1)y-2= \frac{3}{3} (x-1)
y-2=x-1
y-2-x+1=0
y-x-1=0
x-y+1=0
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What is the value of x, the acid concentration of the first solution?
bezimeni [28]

Answer:

A) 0.05

Step-by-step explanation:

Let's summarize into an equation the information we can get from that table.

We have 4 liters of an acid of an unknown concentration, let's call it (4x).

We have 10 liters of an acid with known concentration of 0.40.

And we have a total of 14 liters overall with a concentration of 0.3o.

That's like a weighted average formula: 4x + 10 y = 14z  

Let's replace the concentration values we know and solve this:

4x + 10 (0.4) = 14 * 0.3  

4x + 4 = 4.2

4x = 0.2

x = 0.05

So, the concentration of the 4 liters of acid on concentration X are in fact of concentration of 0.05.

6 0
3 years ago
Read 2 more answers
The perimeter of a tennis court is 210 feet if the tennis court is 27 feet wide, what is the length
Troyanec [42]
I got this:

Tennis court is a rectangle
(Rectangle - 2 sides the same length and the other 2 sides the same. So 2 pairs of equal length sides)

If one is 27 the other has got to be 27 as well - 27+27= 54
210 - 54 = 156
156 / 2 = the other "pair"

Hope that helps and correct me if I'm wrong!
4 0
2 years ago
Can someone please help me with this question?!? I am so confused and I don't know how to answer it.
lbvjy [14]

9514 1404 393

Answer:

  a. f(0) = 1

  b. DNE (does not exist)

  c. DNE

  d. lim = 3

Step-by-step explanation:

The function exists at a point if it is defined there. The function is defined anywhere on the solid line and at solid dots. It is not defined at open circles. So, the function is defined everywhere except (2, 3), which has an open circle.

The open circle at (0, 4) prevents the function from being doubly-defined at x=0, since it is already defined to be 1 at x=0.

This discussion tells you ...

  f(0) = 1

 f(2) does not exist. There is a "hole" in the function definition there.

__

The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.

Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.

Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.

__

Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."

__

In summary, ...

  a) f(0) = 1

  b) lim x → 0 does not exist

  c) f(2) does not exist

  d) lim x → 2 = 3

_____

<em>Additional comment</em>

The significance of the function not being defined at a point where the limit exists, (2, 3), is that <em>the function is not continuous there</em>. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").

6 0
2 years ago
A triangle has a base of 4x-7 and a height of 2x + 3. Find the area.
wolverine [178]

Answer:

area = ‐11

Step-by-step explanation:

hope this is correct and helps

7 0
3 years ago
El inverso de 13/25 es<br>​
MrMuchimi

Answer:

25/13

Step-by-step explanation:

6 0
2 years ago
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