1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
5

Solve for all possible values of x. square root of the quantity x plus 6 end quantity plus 5 equals 17

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

x=138

Step-by-step explanation:

So we have the equation:

\sqrt{x+6}+5=17

First, let's determine the domain restrictions. Recall that the radicand cannot be negative. In other words, it must be greater than or positive than 0. Thus:

x+6\geq 0

Subtract 6 from both sides:

x\geq -6

What this means is that our solutions must be greater than or equal to -6. If not, we ignore them.

So, let's subtract 5 from both sides from the original equation:

\sqrt{x+6}=12

Square both sides:

x+6=144

Subtract 6 from both sides:

x=138

138 is greater than -6, so 138 is a solution and is the only solution.

And we're done!

You might be interested in
The area of the right triangle shown is 24 square feet.Which equations can be used to find the lengths of the legs of the triang
Eduardwww [97]

correct answer ; 1,4,6

8 0
3 years ago
Determine if the statement is always, sometimes or never true. There are 300 degrees in the sum of the interior angles of a poly
Marrrta [24]

Answer:

Never

Step-by-step explanation:

Using the formula to find the sum of the interior angles, (n-2) * 180, we can work backwards.

300/180 +2 = 11/3 or 3.666. Polygons cannot have decimal sides therefore your answer is never.

6 0
2 years ago
What do you do to both sides to<br> r? What is r? 3/8 r = 6 HELP ME
faust18 [17]

Answer:

r = 16

Step-by-step explanation:

\frac{3}{8}r = 6 \\\\

Multiply both sides by 8

8*\frac{3}{8}r = 6*8\\\\3r = 48\\

Divide both side by 3

\frac{3}{3}r=\frac{48}{3}\\\\r = 16

OR

Multiply both side by (8/3)

\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

3 0
2 years ago
12×2+7x=<br>I need help understanding why the x is there
posledela
12*2+7(x) you need to solve for x
8 0
2 years ago
PLEASE SOMEONE HELP
Yanka [14]
Infinity Many Solutions


- Harvard university professor
5 0
2 years ago
Other questions:
  • A problem states: "There are 9 more pencils than pens in a container. There are 25 writing utensils in the container in all. How
    6·2 answers
  • The average demand for rental skis on winter Saturdays at a particular area is 150 pairs, which has been quite stable over time.
    13·1 answer
  • Cassie has 8 red marbles and 12 yellow marbles. Her mom doubles her red and yellow marbles. Use the distributive property to sho
    13·2 answers
  • What is the square root of 18457
    14·2 answers
  • Solve each equation for y. 3x + 2 =6y
    12·1 answer
  • Give complete answers that show all steps! :)
    5·1 answer
  • I don’t know the answer
    7·2 answers
  • Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will h
    14·1 answer
  • Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
    14·1 answer
  • The total cost of a jacket and a pair of shoes was $95.11. If the price of the jacket was $2.79 less than the pair of shoes, wha
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!