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Dmitry_Shevchenko [17]
3 years ago
8

Please help! 19 points! Brainliest to best answer! Solve for the following equation step by step and justify your steps when usi

ng an exponential property. 7x^4=\frac{7^2*7^3}{7^3^x}
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0

Answer:

ummm i dont know but try 16 35/21

Step-by-step explanation:

Vikki [24]3 years ago
4 0

Answer: x^4 /7^3x-6

Step-by-step explanation:

7x^4 * 7^5 / 7^3x

7x^4 * 1 / 7^3x-5

Reduce expression with 7

x^4 * 1 / 7^3x-6

= x^4 / 7^3x-6

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Verify sine law by taking triangle in 4 quadrant<br>Explain with figure.<br>​
Ksivusya [100]

Proof of the Law of Sines

The Law of Sines states that for any triangle ABC, with sides a,b,c (see below)

a

 sin  A

=

b

 sin  B

=

c

 sin  C

For more see Law of Sines.

Acute triangles

Draw the altitude h from the vertex A of the triangle

From the definition of the sine function

 sin  B =

h

c

    a n d        sin  C =

h

b

or

h = c  sin  B     a n d       h = b  sin  C

Since they are both equal to h

c  sin  B = b  sin  C

Dividing through by sinB and then sinC

c

 sin  C

=

b

 sin  B

Repeat the above, this time with the altitude drawn from point B

Using a similar method it can be shown that in this case

c

 sin  C

=

a

 sin  A

Combining (4) and (5) :

a

 sin  A

=

b

 sin  B

=

c

 sin  C

- Q.E.D

Obtuse Triangles

The proof above requires that we draw two altitudes of the triangle. In the case of obtuse triangles, two of the altitudes are outside the triangle, so we need a slightly different proof. It uses one interior altitude as above, but also one exterior altitude.

First the interior altitude. This is the same as the proof for acute triangles above.

Draw the altitude h from the vertex A of the triangle

 sin  B =

h

c

      a n d          sin  C =

h

b

or

h = c  sin  B       a n d         h = b  sin  C

Since they are both equal to h

c  sin  B = b  sin  C

Dividing through by sinB and then sinC

c

 sin  C

=

b

 sin  B

Draw the second altitude h from B. This requires extending the side b:

The angles BAC and BAK are supplementary, so the sine of both are the same.

(see Supplementary angles trig identities)

Angle A is BAC, so

 sin  A =

h

c

or

h = c  sin  A

In the larger triangle CBK

 sin  C =

h

a

or

h = a  sin  C

From (6) and (7) since they are both equal to h

c  sin  A = a  sin  C

Dividing through by sinA then sinC:

a

 sin  A

=

c

 sin  C

Combining (4) and (9):

a

 sin  A

=

b

 sin  B

=

c

 sin  C

7 0
3 years ago
Please help me i need help quick
RoseWind [281]

Answer:

<u>x = -2</u>

<u>y = -6</u>

Step-by-step explanation:

<u>Equating the equations</u> :

  • x - 4 = 4x + 2
  • 3x = -6
  • x = -2

  • y = -2 - 4
  • y = -6
6 0
2 years ago
Read 2 more answers
Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi
Artyom0805 [142]

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

5 0
2 years ago
Read 2 more answers
Find the surface area of the figure below:<br> ???
Ulleksa [173]

Answer:

85 ft^2

Step-by-step explanation:

The four sides of the pyramid: 5×6÷2×4=60

The bottom of the pyramid: 5×5=25

60+25=85 ft^2

6 0
3 years ago
Does this table represent a function? Why or why not?
ivanzaharov [21]
In order to be a function, every x-value must correspond to only one y-value.

Answer: D
3 0
3 years ago
Read 2 more answers
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