All categories

2 years ago

What is the slope of the line on the graph?

Mathematics

1 answer:

Bogdan [553]2 years ago

4 0

Answer:

m=-2

Step-by-step explanation:

Take 2 points (0,0) and (-3,6)

m(slope)= m = rise/run = y2 - y1/ x2 - x1

y2-y1= 6-0=6

x2-x1 = -3-0 = -3

m=6/-3 = -2

y=-2x

You might be interested in

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

Which number between 20 and 28 are prime

ad-work [718]

Prime numbers basically numbers that dont have any numbers that will be multiplied to get to it. So, it would be:
23
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
All the other numbers in between can be divided by something and not become a decimal. Other than 23, it can be divided by anything without becoming a decimal.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
<em>~Hope this helped :)</em>

4 0

3 years ago

Read 2 more answers

The answer for this math problem

laiz [17]

Hi, We have a isosceles triangle.

Then,

There is two angles = (2x +2)°

As the sum of angles = 180° To the any triangle.

Then we wiil stay with:

(2x+2)° + (2x+2)° +(3x+1)° = 180°

Canceling °

2x+2+2x+2+3x+1=180

7x +5 = 180

7x = 180-5

7x = 175

Passing 7 dividing 175

x = 175/7

x = 25

This would be your answer!

7 0

2 years ago

Ken started saving for retirement at age 35 with plans to retire at age 70. He invested an average of $600 per month in various

Irina-Kira [14]

The answer is C $499,355.18

8 0

3 years ago

Read 2 more answers

What is the GCF of 48 and 16?

antiseptic1488 [7]

HOPE THIIIISSS HELLLPSSSS

8 0

3 years ago