3 years ago

What is the slope of the line that passes through (5,4) and (7,10)?

Mathematics

1 answer:

Yanka [14]3 years ago

8 0

(10-4)/(7-5)=6/2=3.

The slope of the line that passes through those two points is 3.

You might be interested in

If someone could help me it would be awesome

alex41 [277]

The kite is 1500 feet above the ground

3 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

What is 4/5 x 3 1/8 in simplest form

Lesechka [4]

3 1/8 means 8 x 3 + 1 = 25/8

Step-by-step explanation:

4/5 x 25/8

= 4x25/5x 8

= 100/40

= 5/2

6 0

2 years ago

Best Buy is having a sale. iPads are marked down 20%. Of the original cost is $399, how much will you pay?

iren [92.7K]

It is

$79.80 I believe
According to me?

5 0

2 years ago

Read 2 more answers

Which of the following statements could be true when a transversal crosses parallel lines? Select all that apply.

bezimeni [28]

<span>Complementary angles are formed.
</span>

4 0

3 years ago

Read 2 more answers