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3 years ago

Find the mean of x,+2,3x,-4,3x+2 and 2x

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

it is -1

Step-by-step explanation:

2= 410x+14⇒4x+8=10x+14 ⇒6x=−6 ⇒x=−1

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Find the domain and range of the function represented by the graph.

True [87]

Answer:

Step-by-step explanation:

The domain of this function is $[-4,2]$ , as it is shown in the graph that $x$ is only within this interval. The range of this function is $[-4,4]$ , as the smallest value of $y$ is -4 and the largest value of $y$ is 4, and $y$ takes every possible values between them.

4 0

3 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

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3 years ago

HELPPPPPPPP will give the brainliest pls help

baherus [9]

Answer:

Step-by-step explanation:

i guessed

8 0

3 years ago

Evaluate the expression when a = 4 and b = 6. 8a – 4b + 5 A. 15 B. 7 C. 19 D. 13

yaroslaw [1]

4 and b = 6 is D.) 13

4 0

3 years ago

Graph this function

galben [10]

Solve the equation to get values for x and y.

For example,

When x is 0,

y = 1

You have one point on the line (0,1)

Now, when y = 0,

x = 36/5 = 7.2

You have one more point on the line (7.2,0)

Plot these points on the x and y axes.

Draw a straight line joining these two points. ( I hope you can plot the points)

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3 years ago

Find the mean of x,+2,3x,-4,3x+2 and 2x​

Find the mean of x,+2,3x,-4,3x+2 and 2x