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QveST [7]
3 years ago
7

Which relation is a function?

Mathematics
1 answer:
aksik [14]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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A bag contains 3 triangles, 4 squares, 5 pentagons, and 6 hexagons. If one shape is randomly chosen, what is the probability tha
e-lub [12.9K]

I’d say that it’s definitely random choice for the squares, pentagons, and hexagons. But, if we are looking at how common it would be between the 3 of them, then I would say that it would be one of the hexagons, because there are more hexagons than any of the other shapes in the bag.

3 0
3 years ago
Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
2 years ago
Read 2 more answers
It is one half x minus 4 equals negative three minus one-third x and have to solve for x
Elena L [17]

Answer:

x=1.2

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

1/2x-4=-3-1/3x

5/6x-4=-3

5/6x=1

x=1.2

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

6 0
3 years ago
Here is a system of linear equations: y = 3x + 4 y = 3x - 7 How many solutions, if any, does this system have?
marysya [2.9K]

Answer:

Step-by-step explanation:

y = 3*x  + 4

y = 3*x -   7

Each one of the above equations is the equation for a straight line.

The solution for such a system is the point P ( x₀ , y₀ ) which coordinates belong to both straight lines. According to this, there is only one solution for that system ( only one point of intersection). The intersection of a pair of straight lines either can occur or not depending on the slope of the lines, if they have the same slope they are parallel, then they did not touch each other ever. How can m,  be identified in the straight line equation??,   just by looking at the coefficient of x.  

The two equations have slope 3 they are parallel then there is not a solution ( there is not a common point to both equations)

7 0
2 years ago
(LOOK AT IMAGE)
svetoff [14.1K]

\angle FHD=74^{\circ} (alternate segment theorem)

x=77^{\circ} (angles in a triangle add to 180 degrees)

3 0
2 years ago
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