All categories

3 years ago

Find the slope of the line that passes through the pair of points (4,5) (10,0)

Mathematics

2 answers:

Shkiper50 [21]3 years ago

7 0

Answer:

The slope of the line passes through the pair of points (4,5) (10,0) is -5/6

Step-by-step explanation:

To find the slope of a line, we will use below formula:

$slope=(y_{2}-y_{1})/(x_{2}-x_{1})$

Then for the two points (4,5) and (10,0) the formula becomes:

$slope=(0-5)/(10-4)=-5/6$

vovangra [49]3 years ago

6 0

Slope = difference in y / difference in x
slope = 5 - 0 / 4 - 10
slope = 5 / -6
slope = -.83333

You might be interested in

Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$

Viktor [21]

When $n=0$ , we have

$5^{3^0} + 1 = 5^1 + 1 = 6$

$3^{0 + 1} = 3^1 = 3$

and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)

Suppose this is true for $n=k$ , that

$3^{k + 1} \mid 5^{3^k} + 1$

Now for $n=k+1$ , we have

$5^{3^{k+1}} + 1 = 5^{3^k \times 3} + 1 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k}\right)^3 + 1^3 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k} + 1\right) \left(\left(5^{3^k}\right)^2 - 5^{3^k} + 1\right)$

so we know the left side is at least divisible by $3^{k+1}$ by our assumption.

It remains to show that

$3 \mid \left(5^{3^k}\right)^2 - 5^{3^k} + 1$

which is easily done with Fermat's little theorem. It says

$a^p \equiv a \pmod p$

where $p$ is prime and $a$ is any integer. Then for any positive integer $x$ ,

$5^3 \equiv 5 \pmod 3 \implies (5^3)^x \equiv 5^x \pmod 3$

Furthermore,

$5^{3^k} \equiv 5^{3\times3^{k-1}} \equiv \left(5^{3^{k-1}}\right)^3 \equiv 5^{3^{k-1}} \pmod 3$

which goes all the way down to

$5^{3^k} \equiv 5 \pmod 3$

So, we find that

$\left(5^{3^k}\right)^2 - 5^{3^k} + 1 \equiv 5^2 - 5 + 1 \equiv 21 \equiv 0 \pmod3$

QED

5 0

1 year ago

Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 7 = 0

Karolina [17]

Answer:

= − 5.35424868 , − 10.64575131

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Identify the recursive formula for the sequence given by the explicit formula An) = 20

UNO [17]

Answer: f(n) = {f(1)=-4

{f(n) = f(n-1) / 20 if n > 1

Or Answer B.

Step-by-step explanation:

8 0

3 years ago

Can you that special son plz help me out mad let it be correct!!!

yarga [219]

Answer:Yes

Hope this helps!

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

503 x 3 = estimate then pruduct plz tell me the answer math is not what I like plz

Julli [10]

503 x 3 = 1509

But, it you want to estimate it I would say 1500.

6 0

3 years ago

Read 2 more answers