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
stira [4]
3 years ago
5

Solve for k. -9 - 9k = -27 ​

Mathematics
1 answer:
romanna [79]3 years ago
5 0
<h2><u>Answer:</u></h2><h2><u></u>\boxed{\boxed{\sf~k=2}}<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Add 9 to both sides:</h3>
  • -9+9= Cancels Out
  • -27+9=-18

<em>  - We subtract because we need to get the variable on one side and one number on each side of the equals. To do this you must do the opposite of what you see, (We have -9, so we do +9) on each side.</em>

<u>Equation at the end of Step 1:</u>

  • <u />-9k=-18<u />
<h3 /><h3>2.) Divide both sides by −9:</h3>
  • -9k ÷ -9=k
  • -18 ÷ -9=2

<em>  - We multiply because we need to get k alone with 1 number left over. To do this you do the opposite of what you see, (We have -9 and k being multiplied, we divide them by -9) on each side.</em>

<em />

______________________________

<h3 />

You might be interested in
Least common multiple of 5, 25, 65
Lelechka [254]
325 is the answer to this equation.
7 0
3 years ago
Maya have 7 pen. sam have 1 pen. how many more pens does maya have than sam?
kondor19780726 [428]
Maya has 6 more pens then Sam
7 0
3 years ago
Factor the expression completely.
navik [9.2K]

Answer:

(2n + 7) (2n +7)

Step-by-step explanation:

To solve this problem we need to factorize 4n^2 + 28n +49 as shown below

4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n  + 7)  + 7(2n +7)\\=> (2n + 7) (2n +7)

thus, after factorization we see that first option is correct one

(2n + 7) (2n +7)

we can validate this by expanding it

2n (2n +7) + 7 (2n+7)\

=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)

4 0
4 years ago
Work out the volume of the cone, giving your answer
Gwar [14]

Answer:

If the given lengths of 7 cm, 24 cm, and 25 cm for the sides of a triangle satisfy the equation of the Pythagorean Theorem, then, yes, the given side lengths are those of a right triangle. Let's see if they are:

The well-known equation of the famous Pythagorean Theorem is:

a² + b² = c², which says that for a right triangle, the sum of the squares of the lengths of the two shorter sides of the triangle is equal to the square of the length of the longest side called the hypotenuse, where a and b are the lengths of the two shorter sides (also called the "legs") and c is the length of the hypotenuse (the side opposite the right angle).

We're given that a = 7 cm and b = 24 cm and that c = 25 cm. Substituting these values into the equation of the Pythagorean Theorem, we get:

a² + b² = c²

(7 cm)² + (24 cm)² = (25 cm)²

(7 cm)(7 cm) + (24 cm)(24 cm) = (25 cm)(25 cm)

49 cm² + 576 cm² = 625 cm²

625 cm² = 625 cm²

As we can see, the equation of the Pythagorean Theorem is satisfied, i.e., made a true statement, by the given lengths; therefore, if these three lengths, 7 cm, 24 cm, and 25 cm, are the lengths of the sides of a triangle, then the triangle is indeed a right triangle.

5 0
3 years ago
Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa
Artyom0805 [142]

Answer:

The height of the right trapezoid is   \frac{6}{5+\sqrt{3}}\ units

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+DH+HA

we have

P=6\ units

AB=BC=CH=HA=x ---> because is a square

substitute

6=x+x+CD+DH+x

6=3x+CD+DH -----> equation A

<em>In the right triangle CDH</em>

sin(30\°)=\frac{CH}{CD}

sin(30\°)=\frac{1}{2}

so

Remember  that CH=x

\frac{1}{2}=\frac{x}{CD}

CD=2x

tan(30\°)=\frac{CH}{DH}

tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

CD=2x

DH=x\sqrt{3}

6=3x+2x+x\sqrt{3}

6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

5 0
3 years ago
Other questions:
  • There are 99 males and 121 females participating in a marathon what percent of the participants are females?
    5·2 answers
  • What’s the answer ?
    9·1 answer
  • What is the value of 7 - 3 3 ÷ 9 + (-8 - 2)?
    9·1 answer
  • What polynomial identity will prove that 117=125-8
    7·1 answer
  • How could you draw a model to show the relationship between feet and inches?
    6·1 answer
  • Plz help me .........
    14·1 answer
  • QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER
    5·2 answers
  • Select all values equal to the fraction below:
    7·1 answer
  • Which of these operations is not closed for polynomials?
    14·1 answer
  • A toy rocket is a composite of a cylindrical body with a cone for a nose. The base of the cylinder and cone are the same size. C
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!