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levacccp [35]
2 years ago
14

Given: 3x - 5 = 4 (2x – 15) Prove: x = 11 Statement Reason

Mathematics
1 answer:
Shalnov [3]2 years ago
6 0

Step-by-step explanation:

3x-5=8x-60

55=5x

x=11

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What is (12 − 4) − (6 ÷ 2) − (2 x 2) =
Tanya [424]

Answer:

1

Step-by-step explanation:

(12-4) - (6/2) - (2 x 2)

(8) - (3) - (4)

1

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5 0
3 years ago
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

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 sin  B =

h

c

    a n d        sin  C =

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or

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c  sin  B = b  sin  C

Dividing through by sinB and then sinC

c

 sin  C

=

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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

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Combining (4) and (5) :

a

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=

b

 sin  B

=

c

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- 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

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 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

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7 0
3 years ago
Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?
Alexus [3.1K]
The answer to your question is negative 52. hope i helped.
7 0
3 years ago
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Helppppp will give brainliest
Ivahew [28]

Answer:

Option C is correct.

Step-by-step explanation:

In an inverse variation, an increase in one quantity leads to a corresponding decrease in the other.

The product is constant throughout the table.

The product is 960

and it shows inverse variation also.

6 0
2 years ago
Simplify<br><br> (x^a.x^b)^a-b*(x^b.x^c)^b-c*(x^c.x^a)^c-a<br><br>step by step..
djverab [1.8K]

Answer:

= x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)

8 0
3 years ago
Read 2 more answers
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