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3 years ago

Can you answer #1 and #3 please (find the slope) ASAP

Mathematics

2 answers:

daser333 [38]3 years ago

8 0

To calculate the slope of a line, you only need two points from that line, (x1, y1) and (x2, y2).

The equation used to calculate the slope from two points is:

(y2 - y1) / (x2 - x1)

#1:

First point : (5 ,7) = (x1, y1)

Second point : (2, -2) = (x2, y2)

Equation : (-2 - 7) / (2 - 5)

Solve the equation:

(-2 - 7) = -9

(2 - 5) = -3

-9/-3 = 3 (a negative number divided by a negative number gives you a positive number)

The slope of the line in #1 is : 3

#3:

First point : (5, 9) = (x1, y1)

Second point : (5, -2) = (x2, y2)

Equation : (-2 - 9) / (5 - 5)

Solve the equation:

In this case, you don't need to solve anything, because anything divided by zero will give you 0 (5 minus 5 = 0).

The slope of the line in #3 is : 0

Elodia [21]3 years ago

6 0

Answer: The answer to #3 is undefined while the answer to question 1 is 3 the slope is 3.

Step-by-step explanation: Using rise over run for question 1 we fin that going either 3 units up and then 1 unit to the right gives us the whole 3/1.

Or we could either go 6 units up and then 2 units to the right which gives us the fraction 6/2 which simplified is 3.

Hope this helps!

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Which of the following conjectures is false?<br>Please give a counterexample!<br>Thank youuu

MakcuM [25]

Which of the following conjectures is false?

Solution: The false conjecture is:

J. The sum of two odd numbers is odd

Explanation:

F. The product of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The product of two even numbers is:

$4 \times 6 = 24$

Therefore, the product is also even number. Hence the conjecture is true.

G. The sum of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The sum of two even numbers is:

$4+6 = 10$

Therefore, the sum is also even number. Hence the conjecture is true.

H. The product of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The product of two odd numbers is:

$3\times5 = 15$

Therefore, the product is also odd number. Hence the conjecture is true.

J. The sum of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The sum of two odd numbers is:

$3+5= 8$

Therefore, the sum is not an odd number. Hence the conjecture is false.

6 0

3 years ago

A group of 120 people touring Europe includes 45 people who speak French, 42 who speak Spanish, and 50 who speak neither languag

lianna [129]

Answer : $P(\text{this group will speak both French and Spanish})=0.141666666$

Explanation:

Since we have given that

n(U) = 120, where U denotes universal set ,

n(F) = 45, where F denotes who speak French,

n(S) = 42 , where S denotes who speak Spanish,

n(F∪S)' = 50

n(F∪S) = n(U)-n(F∪S) = 120-50 = 70

Now, we know the formula, i.e.

n(F∪s) = n(F)+n(S)-n(F∩S)

⇒ 70 = 45+42-n(F∩S)

⇒ 70 = 87- n(F∩S)

⇒ 70-87 = -n(F∩S)

⇒ -17 = -n( F∩S)

⇒ 17 = n(F∩S)

$P(\text{this group will speak both French and Spanish})= \frac{17}{120}\\P(\text{this group will speak both French and Spanish})=0.141666666$

3 0

3 years ago

Pls help there are 5 pics with multiple questions inside of them pls thank you

Bogdan [553]

Answer:

12. The second one

13. The first one

14. The last one

15. The first one

16. 30 degrees

Step-by-step explanation:

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3 years ago

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Arlecino [84]

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3 years ago

Select the two values of x that are roots of this equation.<br> x2 - 5x + 2 = 0

Margaret [11]

Answer:

C and D

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8 0

3 years ago

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