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nignag [31]
3 years ago
12

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

Mathematics
1 answer:
timama [110]3 years ago
5 0
Picture?bebbabsbs sbenenenneneme
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Tan x + sqrt(3) = - 2 tan x
Svet_ta [14]

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

8 0
2 years ago
Find the value of x.
ruslelena [56]

Answer:

4

Step-by-step explanation:

(10 - x ) / x = 3/2                Cross Multiply

2*(10 - x) = 3x                    Remove the brackets

20 - 2x = 3x                       Add 2x to both sides

20 = 3x + 2x

5x = 20                              Divide both sides by 5

x = 20/5

x = 4

8 0
3 years ago
A high school service club is collecting
Misha Larkins [42]

We are looking for he total number of cans so:

day 1= 325 cans

day 2-9 = 944 (118 cans each day)...

118*8 = 944

therefore total number of cans =

day 1 + days 2-9

= 325+944

=1269

4 0
3 years ago
Can someone please clearly and correctly work out Q19? Would appreciate it a lot! :)
DiKsa [7]
x^{2} +10x+30
I always start by moving the last term to the other side
x^{2} +10x=-30
To complete the square you take term 'b' , divide it by 2 then square it
( \frac{10}{2} )^2 = 25
We have to add 25 to what we have and what you do to one side you have to do to the other
x^{2} +10x+25=-30+25
x^{2} +10x+25=-5
Now we factor what is on the left side of the equation
(x+5)^2=-5
The last step is to move our right side of the equation back over 
(x+5)^2+5 - which is your answer :)))


6 0
3 years ago
Which number is a solution to
charle [14.2K]

Answer:

B. -10

Step-by-step explanation:

4x + 5 > 7x + 35 \\  - 3x > 30 \\ 3x <  - 30 \\ x <  -  \frac{30}{3}  \\ x <  - 10

The first one has got a result different from -12 or -10

3 0
3 years ago
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