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aleksley [76]
3 years ago
12

Your friend says that the absolute value equation |3x+8|−9=−5 has no solution because the constant on the right side of the equa

tion is negative. Is your friend correct? Explain.
Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Answer:No friend is wrong


Step-by-step explanation: you actually get two answers. After you isolate the absolute value then you take the positive and negative number of what it's set equal too.


|3x + 8| - 9 = -5 add 9 to isolate the absolute value


|3x + 8| = 4


Now set two equations because the abosulte value has two answers.

|3x + 8| = 4. and |3x + 8| = -4

Solve these by removing the absolute value bars.

3x = -4. 3x = -12

x = -4/3. X = -4




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17/39 + 11/12 −( 5/12 + 4 /39 )
Nana76 [90]

Answer:

.83333333 or 5/6

Step-by-step explanation:

Make common denominator

204/468 + 429/468 = 633/468 - (195/468 + 48/468)

Simplify: 633/468 - 243/468

390/468 can be further broken down to 5/6 if you divide by a common factor which is 78.

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True or false? Postulates are statements that are accepted without question or justification
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List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds t
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7 + 3.(2 - 3x) = 67
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8 0
4 years ago
I'll give more points here is what I need.
Serga [27]

Answer:

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

              sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

              Opposite side = hypotenuse x sin Ф

-Substitution

              Opposite side = 3√2 sin 45

-Simplification

               Opposite side = 3√2 (1 / √2)

               Opposite side = 3(1)

-Result  

               x = 3

2) To find y use the trigonometric function cosine

               cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

                Adjacent side = hypotenuse x cos Ф

-Substitution

                Adjacent side = 3√2 x cos 45

-Simplification

                Adjacent side = 3√2 x (1/√2)

                Adjacent side = 3(1)

-Result

                y = 3

5 0
3 years ago
in this diagram, AB and CD are Parallel. Angle ABC measure 35 and Angle BAC measure 115, what is the angle of ACE.
ZanzabumX [31]

Answer:

180°

Step-by-step explanation:

I think this is the answer

because the line is straight from the point ACE

see

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