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HACTEHA [7]
3 years ago
13

Hi:) why is the gradient of vertical lines undefined?

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

The gradient of a line is given by \frac{y1 - y2}{x1 - x2}.

Any 2 points of a vertical line would have the same x-coordinate. Thus when you simplify the denominator, you would end up with a zero. If you enter that into your calculator, no matter what you numerator is, you would get a Math error. This is because you cannot possibly divide a number by zero. Thus, the gradient is undefined.

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Rectangle LOSP is shown below. The lengths, in units, of some of the line segments are also shown. Line segments MQ and NR are p
Galina-37 [17]

Answer: c. OSRN

Step-by-step explanation:

Sides of similar shapes are proportional.

For Rectangle LOSP,

Length = LO = 4+6+8 = 18 units

Width = OS= 12 units

Here, \dfrac{18}{12}=\dfrac{3}{2}  [proportionality constant]

a. For Rectangle LMQP,

Length = MQ = 12 units

Width = LM = 4 units

Here, \dfrac{12}{4}=3\neq\dfrac32

LMQP is not similar to LOSP.

b. Similarly, for LNRP,

Width = LN= 4+6 = 10

length = NR = 12

\dfrac{12}{10}\neq\dfrac32

LNRP is not similar to LOSP.

c. For OSRN,

Length = OS = 12

Width = ON = 8

\dfrac{12}{8}=\dfrac32

OSRN is similar to LOSP.

d. For MNRQ,

Length= NR = 12

Width = MN = 6

\dfrac{12}{6}=2\neq\dfrac32

MNRQ  is not similar to LOSP.

Hence, the shape similar to rectangle LOSP is OSRN.

4 0
3 years ago
7. How many runners' times are
Sophie [7]

Answer:

314

Step-by-step explanation:

3 0
3 years ago
After college you start a job earning $40,000 a year. You get a 6% raise each year.
alex41 [277]
Answers: A) $44,944
B) $50,499.0784


Math: Using the percentage calculator linked below 6% of $40,000 is $2,400. Since you're getting your second raise after your first and since it is a 6% raise from what you're getting paid at that time we add pay raise 1 to your starting pay before calculating the 6% for pay raise 2. $40,000+$2,400=$42,400. 6% of $42,400 is $2,544. $42,400+$2,544=$44,944, Since that is two pay raises that would be your earnings at the end of year two (answer A).
We continue calculating 6% then adding that onto the total before calculating it for the next year for problem B.
6% of $44,944 is $2,696.64. $44,944+$2,696.64=$47,640.64.
6% of $47,640.64 is $2,858.4384. $47,640.64+$2,858.4384=$50,499.0784. That's answer B.


Hopefully you can figure out C on your own! I feel a little bad for giving a partial answer but I think you can do this!

Percentage calculator used-https://percentagecalculator.net/
Note: can't handle commas, remove all commas before entering data in.
7 0
3 years ago
20 points
tensa zangetsu [6.8K]

Step-by-step explanation:

156 , 52 times by 3 is 156

3 0
4 years ago
Read 2 more answers
Farmer Holstein weighed each of his cows. He found that Jo weighs 711 kilograms, Marty weighs 533 kilograms, and Jennifer weighs
4vir4ik [10]

Answer: 636 kilograms


Step-by-step explanation: Add up all the numbers then divide the sum of how many numbers were in the question then you should get you your mean answer.


3 0
3 years ago
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