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Alex
3 years ago
10

Which is a factor of 18x2 + 3x − 6? A. 2x + 1 B. 2x + 3 C. 3x + 2 D. 3x − 1

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

18x^2+3x-6=3(6x^2+x-2)=3(6x^2+4x-3x-2)\\\\=3[2x(3x+2)-1(3x+2)]=3(3x+2)(2x-1)\\\\Answer:\ \boxed{C.\ 3x+2}

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Okay I been on these 2 questions for about 30 min and I can't figure it out.
blsea [12.9K]
For #1 you have one leg of a right triangle measuring 4000 (the height of the mountain) and the other leg is 3000 (the distance that Mario is from Jenna). The angle of elevation is the one on the base of the triangle across from the right angle.  To find the measure of the angle, use the tangent ratio: tan(A)=4000/3000, which could be simplified to tanA = 4/3. Do that on your calculator using the inverse tangent function to get that the angle of elevation from Mario to Jenna is 53 degrees.
For #2 you have another right triangle situation where the length of the hypotenuse is 20 and the base leg is 10. You are finding again the base angle across from the right angle. Use the cosA=10/20, aka cosA=.5. Again use the inverse cos function on your calculator to find the angle in question is 60 degrees.
5 0
3 years ago
This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

, i.e. AB = \sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0
2 years ago
What is the value of angle marked with x
kipiarov [429]

Answer:

116

Step-by-step explanation:

they are the same bc its a rohmbus

6 0
3 years ago
Quickly helllllpppp! plz
xz_007 [3.2K]

Answer:

≈ 8.07 mg

Step-by-step explanation:

Given

f(x) = 12(0.82)^{x}

Substitute x = 1 into f(x) , that is

f(2) = 12(0.82)² = 12 ×0.6724 ≈ 8.07 mg

7 0
3 years ago
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?<br> BB<br> -2<br> 2
Svetlanka [38]

Answer:

-2

Step-by-step explanation:

if x=- 2  then f(x)=(-2-5)3(-2+2)=0

so x=-2 is correct

3 0
2 years ago
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