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Schach [20]
3 years ago
8

Write the answer in interval notation

Mathematics
1 answer:
katovenus [111]3 years ago
6 0
The domain is (-infinity, 6] I believe.
You might be interested in
Calculate the slope of the line that passes through (12,15) and (10, 21). Reduce answer to lowest terms if
gulaghasi [49]

Answer:

-3

Step-by-step explanation:

Slope is rise divided by run. Y2-Y1 Divided by X2-X1

You get 6 divided by -2

-3

3 0
2 years ago
Is the inequality always, sometimes or never true?
Feliz [49]
1 )  9 x + 18 > 9 x - 27
9 x - 9 x > - 27 - 18
0 * x > - 45
Always true
2 ) 6 x - 13 < 9 x - 12
6 x - 6 x < - 12 + 13
0 * x < 1
Always true
3 ) - 6 ( 2 x - 10 ) + 12 x ≤ 180
- 12 x + 60 + 12 x ≤ 180
0 * x ≤ 180 - 60
0 * x ≤ 120
Always true. 
5 0
3 years ago
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
Comeplete the table by supplying the needed data in each column
dezoksy [38]
What do we complete there is no picture
4 0
3 years ago
Its line segment please
joja [24]

Answer:

A) 29

Step-by-step explanation:

DG = GJ

GJ = DG = 4x + 17

DJ = DG + GJ

11x + 25 = 4x + 17 + 4x + 17

11x + 25 = 4x + 4x + 17 + 17    {Combine like terms}

11x + 25 = 8x + 34

Subtract 25 from both sides

11x = 8x + 34 - 25

11x = 8x + 9

Subtract 8x from both sides

11x - 8x = 9

3x = 9

Divide both sides by 3

x = 9/3

x = 3

DG =  4x + 17

     = 4*3 + 17

    = 12 + 17

DG = 29

6 0
3 years ago
Read 2 more answers
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