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Anit [1.1K]
3 years ago
7

What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and

( − 1 , 5 ) (−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by [\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ].

So, in our case (x_{1},y_{1}) ≡ (-5,-10) and (x_{2},y_{2}) ≡ (-1,5).  

Therefore, the slope of the line is \frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75 (Answer)

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Natalie can send or receive a text message for $0.15 or get an unlimited number for $5. Write and solve the inequality to find h
Zielflug [23.3K]

33\frac{1}{3} number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

<em><u>Solution:</u></em>

Natalie can send or receive a text message for $0.15

Natalie can get an unlimited number for $5

To find: Number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

Let "x" be the number of messages

Cost for sending and receiving message = $ 0.15

Cost for unlimited plan = $ 5

Then, according to given, we frame a inequality as:

The condition is: unlimited plan is cheaper than paying for each message

Therefore,

(number of messages)(Cost for sending and receiving message) is greater than or equal to Cost for unlimited plan

x \times 0.15\geq 5\\\\0.15x\geq 5\\\\\text{Solve for "x" }\\\\\text{Divide both sides of equation by 0.15 }\\\\\frac{0.15x}{0.15}\geq \frac{5}{0.15}\\\\x\geq 33.33\\\\x\geq 33\frac{1}{3}

Thus for 33\frac{1}{3} messages ,the unlimited plan is cheaper than paying for each message

5 0
3 years ago
Express the confidence interval
ELEN [110]
The answer I p



Explain k
2/3:34;(5-6)
3 0
3 years ago
Find the midpoint of the segment with the given endpoints.<br> (-10,- 6) and (-3,7)
Marina CMI [18]

Step-by-step explanation:

in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.

now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.

when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).

so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.

xm, ym are the coordinates of the midpoint.

xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5

ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5

so, the midpoint is (-6.5, 0.5)

8 0
2 years ago
Solve the equation <br><br> 3x-1/2y=2
poizon [28]

Answer:

Step-by-step explanation:

Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:

x in terms of y:    Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction:  6x - y = 4.  Now add y to both sides to isolate 6x:  6x = 4 + y.

Last, divide both sides by 6 to isolate x:

x = (4 + y)/6

y in terms of x:    

y = 6x - 4

If you want a numerical solution, please provide another equation in x and y and solve the resulting system.

4 0
3 years ago
Choose Yes or No to tell if the fraction 58 will make each equation true. 815−□=37 Yes □−516=58 No 78−12=□ No 34−18=□ Yes
prisoha [69]

Answer:

815−58=37  False

58−516=58 False

78−12=58 False

34−18=58 False

Step-by-step explanation:

i just did them all on my algebra calculator and they all said false. brainliest please?

6 0
3 years ago
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