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
Airida [17]
2 years ago
10

In the equation above. K is a constant. If x=9, what value is k? A) 1 B) 7 C) 16 D) 79

Mathematics
2 answers:
mestny [16]2 years ago
6 0

Answer:

D) k = 79

Step-by-step explanation:

Given equation: \sf\sqrt{k+2}-x=0

<u><em>Steps:</em></u>

1. Substitute 9 as the value of x in the equation:

\sf\sqrt{k+2}-9=0

2. Add 9 to both sides:

\sf\sqrt{k+2}-9+9=0+9\\\\\Rightarrow \sqrt{k+2}=9

3. Square both sides of the equation:

\sf\left(\sqrt{k+2}\right)^2=9^2\\\\\Rightarrow k+2=81

4. Subtract 2 from both sides:

\sf k+2-2=81-2\\\\\Rightarrow k = 79

5. Check your work:

\sf\sqrt{k+2}-x=0\ \textsf{[ substitute 79 for k, and 9 for x ]}\\\\\sqrt{79+2}-9=0\ \textsf{[ add ]}\\\\\sqrt{81}-9=0\ \textsf{[ take the square root ]}\\\\9-9=0\ \textsf{[ subtract ]}\\\\0=0\ \checkmark

Naddika [18.5K]2 years ago
4 0

Answer: 79

Step-by-step explanation:

\sqrt{k+2}-9=0\\\\\sqrt{k+2}=9\\\\k+2=81\\\\k=\boxed{79}

You might be interested in
What is 80%times360%
zvonat [6]

Answer:2.88

Step-by-step explanation:Because 80% is 0.8 and 360% is 3.6 and when u multiply them u get 2.88

8 0
3 years ago
The points P and Q in the following figure define the line segment (PQ⎯⎯⎯⎯⎯) P Q . The steps involved in using a compass to cons
kenny6666 [7]
You haven't provided the steps.

mathisfun.com/geometry/construct-linebisect.html

Here is a useful link to the correct steps. The instructions may not be exactly the same but I think you can do it.
3 0
3 years ago
A birthday cake was cut into equal pieces, and four pieces were eaten. The fraction is 3/7 how many are left
GaryK [48]
3 are left.
3/7 means there were 7 slices, but it's missing 4 slices. (Eaten)

i hope this helps :)

7 0
3 years ago
Select the correct answer.
DochEvi [55]

Answer:

0.097

Step-by-step explanation:

7 0
3 years ago
A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re
Irina-Kira [14]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

purple = 2 + 3x

red = x

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

2 + 3x + x = 34

4x = 32

x = 32 \div 4

x = 8

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

purpe = 2 + 3(8)

purple = 26

7 0
3 years ago
Other questions:
  • The area of a rectangle is 66 ft^2 and the length of the rectangle is 7 feet less than three times the width find the dimensions
    14·2 answers
  • Anyone knows #3 and 4 answers ?
    12·1 answer
  • HELP!!!!
    12·1 answer
  • A mirror is 4.5 feet high by 2.3 feet wide. If it costs $15 per foot to frame the mirror, how much will the frame cost? Do not i
    9·1 answer
  • Choose the equation that best fits the following graph.​
    9·1 answer
  • 1. Solve for the missing side: 3 7​
    13·1 answer
  • Solve the 4 letter code please I need it before midnight, it's not a word.
    15·1 answer
  • Plz help and yes i am lazy but helpppp
    14·1 answer
  • Can someone help me please
    6·1 answer
  • Why is the square root of 75 equal to 5 square root 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!