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Sidana [21]
4 years ago
14

If a system of linear equations has no solution what does that tell you about the slopes and y - intercepts of the graphs equati

ons?
Mathematics
1 answer:
Sidana [21]4 years ago
3 0
Let's write a system of generic linear equations:
 ax + by = c
 dx + ey = f
 A system without solution:
 It occurs when the system of equations has the coefficients of x and y proportional to each other, but not proportional to the free terms. That is to say:
 (a) / (d) = (b) / (e) ≠ (c) / (f)
 That is, the slopes are the same.
 The cut point with y is different.
 Answer:
 
The slopes are the same.
 
The cut point with y is different.
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write the equation in slope-intercept form with y intercept of −3 and an x intercept of −4.5. Plz tell me how you got it so i no
erastovalidia [21]

The equation of the line is y = -2/3x - 3.  

To find this, we first need to turn the intercepts into ordered pairs.  

x intercept: (-4.5, 0)

y intercept: (0, -3)

Now we can use these two points and the slope equation to find slope.

m = (y2 - y1)/(x2 - x1)

m = (0 - -3)/(-4.5 - 0)

m = 3/-4.5

m = -2/3

Now that we have the slope, we can use slope intercept form to find the intercept.  

y = mx + b

-3 = 2/3(0) + b

-3 = 0 + b

-3 = b

Which allows us to model the equation as y = -2/3x - 3

6 0
3 years ago
Which is a solution to the equation y=2x+5
ryzh [129]
The answer is c as ((3)*2) + 5 = (11)
7 0
4 years ago
Read 2 more answers
Can someone please help me with this?
lidiya [134]
The angle formed by two tangles results in half of the difference of the two arcs. 

That is to say 

70 = .5(Major arc - minor arc)

Think of the major arc as the larger and the minor the smaller.

So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.

140 = major arc - minor arc.

Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.

140 = major arc - x 
360 = major arc + x

Use linear combination and add these equations to get

500 = 2*major arc

major arc = 250
minor arc or x = 110.

The answer is 110 degrees.

8 0
3 years ago
Make 11/3 into a mixed number​
kompoz [17]

Answer:

3-2/3

Step-by-step explanation:

Ask yourself how many times does this go into that.  

3 goes into 11 evenly 3 times thus leaving 2 left over

Your denominator remains the same.

3-2/3

You can then check your answer 3 x 3 = 9 + 2 = 11

4 0
4 years ago
Read 2 more answers
What is the area of the drumhead
Eva8 [605]
The area of the drumhead is 78.50 square unit
5 0
3 years ago
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