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3 years ago

Find the slope of the line that contains the points (6, -2) and (-3, 7).

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Slope = (y2 - y1)/(x2 - x1)
slope = (7 - -2)/(-3 - 6)
slope = 9/-9
slope = -1

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Give the exact form and decimal form of the equation

Svet_ta [14]

Answer:

Exact form: $\sin{(6x)} = \frac{8}{9}$

Decimal form: $\sin{(6x)} = 0.8889$

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

$8 = 9\sin{(6x)}$

Placing into the desired format, the exact format is:

$\sin{(6x)} = \frac{8}{9}$

In the decimal part, we divide 8 by 9. So

$\sin{(6x)} = 0.8889$

Solving for x:

We apply the inverse sine. So

$\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}$

$6x = 62.73$

$x = \frac{62.73}{6}$

$x = 10.455$

The solution for x is of 10.455º

5 0

2 years ago

Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc

DerKrebs [107]

we are given

differential equation as

$y'''-9y''+20y'=0$

we are given

$y=e^{rx}$

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

$y'=re^{rx}$

Second derivative is

$y''=r*re^{rx}$

$y''=r^2e^{rx}$

Third derivative is

$y'''=r^2*re^{rx}$

$y'''=r^3e^{rx}$

now, we can plug these values into differential equation

and we get

$r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0$

now, we can factor out common terms

$e^{rx}(r^3 -9r^2 +20r)=0$

we can move that term on right side

$(r^3 -9r^2 +20r)=0$

now, we can factor out

$r(r^2 -9r +20)=0$

$r(r-5)(r-4)=0$

now, we can set them equal

$r=0$

$r-5=0$

$r=5$

$r-4=0$

$r=4$

so, we will get

$r=0,4,5$ ...............Answer

4 0

3 years ago

Tranny a method for Simplifying

san4es73 [151]

Answer:

x=0

Step-by-step explanation:

120521x=0

x=0/120521=0

6 0

3 years ago

Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?

kirill115 [55]

Answer:

27x30=810

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Can Someone please help me with this please please please

jasenka [17]

Answer:

About 5.5, but it is technically closer to 5.6 so I am not entirely sure

Step-by-step explanation:

Since EB and DC are parallel, triangles ABE and ACD are similar by AA. Therefore:

$\dfrac{x}{10}=\dfrac{10}{18} \\\\\\x=10\cdot \dfrac{10}{18}\approx 5.5$

Hope this helps!

4 0

3 years ago