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gayaneshka [121]
3 years ago
6

Solve each equation. Be sure to check for extraneous solution -7= |a-3|/-2

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

a = -11, 17.

Step-by-step explanation:

-7 =  |a-3| / -2

Multiply both sides by -2:

|a - 3| = 14

So a - 3 = 14

Giving a = 17

or

a - 3 =- -14

giving a = -11.

Checking these values:

-7 = |17-3| / -2 = 14/-2 = -7  

- so a = 17 is a solution.

-7 = |-11-3| / -2 = 14/-2 = -7

so a = -11 is also a solution.

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Name the postulate or theorem you can use to prove NPM=OMP
Katarina [22]

Answer:

ΔNPM and ΔOMP by SAS postulate

B is correct

Step-by-step explanation:

In ΔNPM and ΔOMP

    NP = OM              (Given)

∠NPM = ∠OMP         (Given)

     PM = MP              ( Common )

So, ΔNPM ≅ ΔOMP by SAS property of concurrency.

ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.

Therefore, SAS postulate use here

Hence, ΔNPM and ΔOMP by SAS postulate

4 0
3 years ago
Marty's hourly rate is $20.59 per hour. He just received a
77julia77 [94]

Answer:

23.14

Step-by-step explanation:

= 20.59 x (12.4/100)

= 2.55316

= 2.55316 + 20.59

= 23.14316

= 23.14

I hope this helps.

8 0
2 years ago
Read 2 more answers
The expression (n^14)(n^3) is equivalent to n^x<br> What is the value of x
Andre45 [30]

Answer:

17

Step-by-step explanation:

add the exponents

7 0
3 years ago
Read 2 more answers
Image.......................
babunello [35]

Answer:

10.75

Step-by-step explanation:

The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.

Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

so, a childs ticket is 4.75

now to find the cost of an adult ticket you add 6,

4.75 + 6

= 10.75

3 0
3 years ago
It's been a while since I've taken a math class and I'm stressed please help me out. The question is circled.
brilliants [131]
-3/2x

The rational expression would not be defined only when the denominator is divided by 0

That is:

2x =0

x = 0/2

x =0

Hence it would not be defined when x = 0.

Hope this helps.
8 0
3 years ago
Read 2 more answers
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