SAT High School


[tex] n - \sqrt{c + 5 = 1} [/tex]
in the equation above, C is a constant. If n= 5, what is the value of c?

Could you say how you got rid of the negative sign in front of the square root in the process plz

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Answers

Answer 1

Answer:

c=11

Explanation:

[tex]n - \sqrt{c + 5} = 1[/tex]

[tex]5 - \sqrt{c + 5} = 1[/tex]

Add sqr root of c+5 to both sides

[tex]5 = 1 + \sqrt{c + 5} [/tex]

[tex]4 = \sqrt{c + 5} [/tex]

[tex]16 = c + 5[/tex]

[tex]c = 11[/tex]

Answer 2

Answer:

c is 11

Explanation:

[tex]n - \sqrt{c + 5 } = 1 \\ 5 - \sqrt{c + 5} = 1 \\ [/tex]

make -√c+5 the subject:

[tex] - \sqrt{c + 5} = 1 - 5 \\ - \sqrt{c + 5} = - 4[/tex]

divide through out by -1 :

[tex] \frac{ - \sqrt{c + 5} }{ - 1} = \frac{ - 4}{ - 1} \\ \\ \sqrt{c + 5} = 4[/tex]

square both sides;

[tex] {( \sqrt{c + 5} )}^{2} = {4}^{2} \\ c + 5 = 16 \\ c = 11[/tex]

Related Questions

Choose the vocabulary word that BEST completes the sentence.
The food writer ate at the restaurant on three nights to get an accurate picture of its
quality.
hoarding
subdued
mythological
successive

Answers

Answer:

Quality

Explanation:

If you substitute the other 4 words, the sentence simply does not make sense

The best answer would be quality

to maintain good balance in a horizontal relationship, you must…

Answers

Answer:

A

Explanation:

Working productively and sharing responsibility is the correct choice to maintain a good balance in a horizontal relationship. Hope this helps! Thanks.

3. Cora earns $13 an hour as a cashier. How much will
she earn if she works from 8:00am to 2:00pm?
Answer:
56

Answers

Answer: Answer is 78 dollars.

Explanation:

from 8:00 am to 2:00pm it would be 6 hours

so

1 hour = 13

6 hours = 13*6 = 78

Which model best shows the movement of oxygen during photosynthesis?
Plant
Ò A. Atmosphere
O B. Soil - Plant
C. Plant - Soil
D. Plant - Atmosphere

Answers

D. Plant - atmosphere

18
Truck A leaves a loading dock and averages 40 miles
per hour until it makes a stop in Dover County. Truck B
leaves the same loading dock two hours after Truck A and
averages 60 miles per hour until it makes a stop in Dover
County as well. If both trucks arrive in Dover County at
the same time, how many miles is Dover County from the
loading dock?

Answers

Answer: 240 miles

Explanation: Since Truck A moves 40 miles in one hour, we can say that the truck traveled 40 miles after 1 hour, 80 miles after 2 hours, 120 miles after 3 hours, 160 miles after 4 hours, 200 miles after 5 hours, and 240 miles after 6 hours.

Now since Truck B moves 60 miles in one hour, it moved 60 miles in one hour, 120 miles in 2 hours, 180 miles in 3 hours, and 240 miles in 4 hours.

So when the question tells you that both trucks arrived at the same time, you can find the answer by looking for the distance where the two trucks met. So in this case, it would be 240 miles because Truck A took 6 hours to get to 240 miles and Truck B took 4 hours to get to 240 miles and since Truck A moved 2 hours ahead of Truck B, the answer would be correct.

Therefore, Dover county is 240 miles away from the loading dock.

Sorry about the bad explanation (the answer is correct though)

Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 2 2/5 hours. How long will it take Maria to do the job alone?

Answers

Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 225 hours. How long will it take Maria to do the job alone?
2 2 = 12 Together time, 2 2 , needs to be converted to fraction 555
Adan:3,Maria:x,Total: 5 Clearlystatetimesforeachandtotal,usingxforMaria 12
1+1= 5 Usingreciprocals,addtheindividualtimesgivestotal 3 x 12
1

1(12x) + 1(12x) = 5(12x) 3 x 12
4x+12=5x −4x −4x 12=x It takes Maria 12 hours
Multiply each term by LCD of 12x
Reduce each fraction
Move variables to one side, subtracting 4x Our solution for x



Answer is - 12 hours
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