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
VARVARA [1.3K]
2 years ago
6

If the diffrence in the side lenghts of two squares is 10,and the sum of the side lenghts is 18, what are the side lengths

Mathematics
1 answer:
konstantin123 [22]2 years ago
5 0

Answer:

The side of first square =14 units  

side of second square =4 units

Step-by-step explanation:

We have given two squares,

A square have all its four sides equal and at right angles.

Let the side of first square be 'a'

and the side of second square be 'b'

Given:

                 a-b=10     equation:1

                a+b=18   equation:2

Solving equation:1  

                      a=10+b      equation:3

Putting 'a' in equation:2

                           (10+b)+b=18\\\\2b=18-10\\\\2b=8\\\\b=4

Putting 'b' in  equation:3

          a=10+4\\\\a=14

So, the side of first square is 14 units and

side of second square is 4 units

You might be interested in
<img src="https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B3-8%7D%20%7D%7Bx%5E%7B2%7D%20-6x%2B8%7D" id="TexFormula1" ti
Firlakuza [10]

Answer:

  • Domain: All the real values except x = 2 and x = 4: R - {2, 4}
  • Holes: x = 2
  • VA, vertical asymptores: x = 4
  • HA: horizontal asymptotes: there are not horizontal asymptotes
  • OA: oblique asymptotes: x + 6 [note that OH does not stand for any known feature, and so it is understood that it was intended to write OA]
  • Roots: x = 2
  • Y-intercept: -1

Step-by-step explanation:

1. <u>Given</u>:

f(x)=\frac{x^3-8}{x^2-6x+8}

  • Note that the number 8 in the numerator is not part of the power.
  • Type of function: rational function

2. <u>Domain</u>: is the set of x-values for which the function is defined.

The given function is defined for all x except those for which the denominator equals 0.

  • Denominator:  x² -6x + 8 = 0
  • Solve for x:

        Factor. (x - 4 )(x - 2) = 0

        Zero product property: (x - 4) = 0 or (x - 2) = 0

        x - 4 = 0 ⇒ x = 4

        x - 2 = 0 ⇒ x = 2

  • Domain:

        All the real values except x = 2 and x = 4: x ∈ R / x ≠ 2 and x ≠ 4.

3. <u>Holes</u>:

The holes on the graph of a rational function are at those x-values for which both the numerator and denominator are zero.

  • Find the values for which the numerator is zero:

        Numerator: x³ - 8 = 0

        Factor using difference of cubes property:

                   a³ - b³ = (a - b)(a² + ab + b²)

                   x³ - 8 = (x - 2)(x² + 2x + 4) = 0

        Zero product property:  (x - 2)(x² + 2x + 4) = 0

                    x - 2 = 0 ⇒ x = 2                    

                    x² + 2x + 4 = 0 (this has not real solution)

  • The values for which the denominator is zero were determined above: x = 2 and x = 4.

  • Conclusion: for x = 2 both numerator and denominator equal 0, so this is a hole.

4. <u>VA: Vertical asymptotes</u>.

The vertical asymptotes on the graph of a rational function are the vertical lines for which only the denominator (and not the numerator) equals zero.

  • In the previous part it was determined that happens when x = 4.

5. <u>HA: Horizontal asymptotes</u>.

In rational functions, if the numerator is a higher degree polynomial than the denominator, there is no horizontal asymptote.

6. <u>OA: oblique asymptotes</u>

  • Find the quotient and the remainder.

                       x + 6

                  _______________

x² - 6x + 8 )   x³ + 0x² + 0x - 8

                  - x³ + 6x² - 8x

                   ___________

                          6 x² -   8x -  8

                        - 6x² + 36x - 48

                        _____________

                                    28x  - 56

Result: (x + 6) + (28x - 56) / (x² - 6x + 8)

  • Find limit x → ∞

\lim_{x \to \infty}(x + 6) + \frac{28x-56}{x^2-6x+8}=x+6

<u>7. Roots</u>:

Roots are the values for which f(x) = 0.

That happens when the numerator equals 0, and the denominator is not 0.

As determined earlier: x³ - 8 = 0 ⇒ x = 2.

8. <u>Y-Intercept</u>

The y-intercepts of any function are the y-values when x = 0

  • Substitute x = 0 into the function:

         f(x)=\frac{x^3-8}{x^2-6x+8}=\frac{0^3-8}{0^2-6(0)+8}}=\frac{-8}{8} =-1

3 0
3 years ago
Is there anyone who is good at geometry
Blababa [14]
ÙwÚ I am not butttttt good luck
8 0
3 years ago
Liz earns a salary of $2,000 per month, plus a commission of 8% of her sales. She wants to earn at least $2,500 this month. Ente
andrezito [222]

Answer: $2000 + 0.08s ≥ $2500

Step-by-step explanation:

The expression that will be used to calculate the earnings of Liz will be:

= b + (c × s)

Where:

b = base salary = $2,000

c = commission rate = 8% = 8/100 = 0.08

s = the sales that the commission rate will be applied against.

The inequality to find amounts of sales that will meet Liz goal will be:

= b + (c × s)

= $2000 + (0.08 × s) ≥ $2500

= $2000 + 0.08s ≥ $2500

6 0
3 years ago
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
ss7ja [257]

Answer: c. b/35 =11

Step-by-step explanation:

the total beads is over beads of necklace and there’s 11 necklaces needed to make

8 0
3 years ago
X is at most 3o correct answer x&lt;30 or x is less than 30
Alina [70]
X<span> ≤30
hope this helped</span>
6 0
3 years ago
Other questions:
  • Use Excel to find each probability. (Round your answers to 4 decimal places.) Probability a. P(80 &lt; X &lt; 110) for N(100,15)
    11·1 answer
  • How can I use a scale to help me find the actual perimeter of an object if I already know the perimeter of the scale drawing?
    5·1 answer
  • The sum of a number and 13 divided by 11
    10·1 answer
  • a system of equations is shown below:x y = 32x −y = 6the x-coordinate of the solution to this system of equations is
    7·1 answer
  • Find the value of t. Write your answer as a decimal number. 88.65 t 88.75 on a number line?
    6·1 answer
  • What are Graphs of linear equations
    10·1 answer
  • Ralph has been awarded some money in a settlement. He has the option to take a lump sum payment of $425,000 or get paid an annui
    10·1 answer
  • The two triangles are similar.<br><br> What is the value of x?
    14·2 answers
  • Mrs. Ling baked 5 pies for a bake sale. During the morning, she sold 1 1/2 pies. During the afternoon, she sold 1 3/4
    13·2 answers
  • 7819 rounded to 1 significant figure
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!