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
elena-14-01-66 [18.8K]
3 years ago
9

Plz help me. how to solve | k-10 | = 3 will give brainliest!!!

Mathematics
2 answers:
Burka [1]3 years ago
8 0

Answer:

k=7; k=13

Fast and loose:

If you stare at it for a while, you can see that the LHS is the distance between k and 10. Basically, you've asked to pick k so you get two numbers that are 3 apart from 10. And these two numbers are 7 to the left, and 13 to the right.

Rigorously

Split it in 2 situations, depending if the quantity inside the absolute value is greater or smaller than zero.

If it's greater or equal than zero:

\left \{ {{k-10\geq 0 } \atop {k-10 = 3} \right. \\\left \{ {{k\geq 10 } \atop {k = 13} \right.

And since 13 is indeed greater than 10, it's a valid solution, so you get the first one. For the second, you assume negative values for the quantity inside, and change sign:

\left \{ {{k-10 < 0 } \atop {k-10 = -3} \right. \\\left \{ {{k < 10 } \atop {k= 7} \right.

In this case, 7 is a valid solution too since it's less than 10

12345 [234]3 years ago
3 0
Add ten to both sides:
K = 13
To check my work you can plug 13 in for k:
13-10=3
Hope this helps (:
You might be interested in
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
3 years ago
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Kazeer [188]

Answer:

π×10^2=314.15

Step-by-step explanation:

hope it helps

7 0
3 years ago
Please help i dont understand this problem
DaniilM [7]

y=x+5

Step-by-step explanation:

The opposite of y is x axis

7 0
2 years ago
Using the algebraic expression 4n + 6, what is the greatest whole-# value of n that will give you a result less than 100?
Whitepunk [10]
A) 22
4 (22) + 6
88 + 6 = 94

B) 23
4 (23) + 6
92 + 6 = 98

C) 24
4 (24) = 96
96 + 6 = 102

So the answer is B because it is the highest value that can be put into the equation without raising the number to above 100
6 0
3 years ago
Help now plssssssssssssss
Ivenika [448]
Let me see the bubble chart
5 0
2 years ago
Other questions:
  • Can someone please help me on this one?
    6·1 answer
  • Find the value of x. 2(x-3)-17=13-3(x+2)
    8·2 answers
  • Which number represents the sum of -8 and -i?
    7·1 answer
  • Need help with these last two questions, tysm if you do :D
    13·1 answer
  • Norma read a total of 90 books over 15 months. After belonging to the book club for 24 months, how many books will Norma have re
    6·2 answers
  • Find (x³+x²-20x+24) divided by (x-3)​
    13·1 answer
  • 4+9=−2−3 <br><br> What is the solution to the equation above?
    14·1 answer
  • Solve the following system<br> algebraically:
    5·2 answers
  • The units for the lines of longitude are measured in.
    9·1 answer
  • Find the distance between A(5, -2) B(3, -6)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!