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2 years ago

What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

5 0

Answer:

-2

Step-by-step explanation:

find rise over run with y1-y2/x1-x2 = -2/1 = -2

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What is the answer to solve -2=4r+s for s

sleet_krkn [62]

The answer is s= -(4r+2)

7 0

3 years ago

Please help me with the below question.

VMariaS [17]

By letting

$y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}$

we get derivatives

$y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}$

$y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}$

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

$5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0$

Examine the lowest degree term $\left(x^{r-1}\right)$ , which gives rise to the indicial equation,

$5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0$

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients $c_k$ is

$(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}$

so that with r = 4/5, the coefficients are governed by

$c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}$

c) Starting with $c_0=1$ , we find

$c_1 = -\dfrac{c_0}5 = -\dfrac15$

$c_2 = -\dfrac{c_1}{10} = \dfrac1{50}$

so that the first three terms of the solution are

$\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}$

4 0

2 years ago

I need to equation for the radius of a 400m running track I know the answer is 36.5 and I know the formula is =2<img src="https:

miskamm [114]

This formula only applies if the track is circular. If it is, then we write the equation:

2*r*pi=400

Dividing by 2pi, we see that:

r=200/pi

This is approximately 63.66.

6 0

3 years ago

Round to the nearest thousand. 5,568

cricket20 [7]

Answer:

Round to the nearest thousand.

5,568

= 5,000

7 0

2 years ago

Read 2 more answers

To make lemonade, 2 cups of lemon juice are mixed with 7 cups of water.Describe and correct the error in proportion used to find

kumpel [21]

x/9 = 8/36 
x = 9 * 8/36 [multiplying each side by 9] 
x = 2 
 
x/90 = 4.4/12 
x = 90 * 4.4/12 [multiplying each side by 90] 
x = 33 

Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: 
2/7 = j/28 [lemon juice to water] 
8 = j [multiplying each side by 28] 

7/2 = 28/j [water to lemon juice] 
7j = 56 [multiplying each side by 2j] 
j = 8 [dividing each side by 7] 

The length proportion is 24 in to 32 ft. 
The actual house is 24 ft tall. 
Let x represent the doll house height, in inches. Then 
x/24 = 24/32 
x = 24 * 24/32 = 18 inches

3 0

3 years ago