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Tamiku [17]
3 years ago
6

Which of the following is an extraneous solution of sqrt 4x + 41 = x+5

Mathematics
2 answers:
Jet001 [13]3 years ago
7 0

Answer:

-8

(A)

just took the test

stiv31 [10]3 years ago
3 0

Answer:

x=-8

Step-by-step explanation:

\sqrt{4x+41}=x+5

on squaring both sides

4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0

either x-2=0  or  x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

\sqrt{4\times 2+41}=2+5

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

\sqrt{4\times (-8)+41}=-8+5

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

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If 1 inch represents 36 miles on a map, how many miles does 4 + 1/4 in represent ​
xeze [42]

Answer:

153 miles

Step-by-step explanation:

1 inch = 36 miles.

First, find the measurement of miles for 1/4 inch. Divide 36 with 4:

36/4 = 9

1/4 inch. = 9 miles.

Next, find the amount of measurement of miles per 4 inches:

4 x 36 = 144 miles.

Finally, combine the two measurements together:

144 + 9 = 153 miles.

153 miles is your answer.

~

5 0
3 years ago
Read 2 more answers
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

7 0
3 years ago
A scientist collected four water samples from local ponds. Each sample was the same size and he collected 2.6 liters in all. Wha
Temka [501]

Answer: 0.65 Liters

Steps:

Divide 2.6/4 to get 0.65 Liters

3 0
3 years ago
(-5,3); m=2<br> What is point slope formula
ch4aika [34]

Answer:

y = 2x + 13

Step-by-step explanation:

y - 3 = 2 ( x + 5 )

y - 3 = 2x + 10

  + 3        + 3

y = 2x + 13

5 0
3 years ago
Is 4.7 a rational number?
PIT_PIT [208]

Answer:

Yes.

Step-by-step explanation:

4.7 is able to be written as a fraction, being a rational number.

Hope it helps!!

Let me know if I'm wrong...

7 0
3 years ago
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