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BlackZzzverrR [31]
3 years ago
12

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
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