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
Travka [436]
1 year ago
7

The perimeter of a square is represented by the expression 4(4.3 - 6). Which statement is true?O The perimeter can also be repre

sented by the expression 8.1 – 2 because 4(43 – 6) can be simplified to 83 - 2.O The perimeter can also be represented by the expression 82 - 6 because 4(40 - 6) can be simplified to 80 - 6.O The perimeter can also be represented by the expression 162 - 6 because 4(42 - 6) can be simplified to 163 - 6.The perimeter can also be represented by the expression 1632 – 24 because 4(4.1 - 6) can be simplified to 163 – 24.

Mathematics
1 answer:
lana66690 [7]1 year ago
7 0

the perimeter is:

4(4x - 6)

Applying distributive property:

4(4x) - 4(6)

16x - 24

Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24

You might be interested in
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which an
alex41 [277]

The question is incomplete. Here is the complete question:

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.

(A) \frac{22}{3}

(B) \sqrt[3]{22}

(C) \pm \sqrt[3]{22}

(D) \sqrt{22}

Answer:

(B) \sqrt[3]{22}

Step-by-step explanation:

Given:

The equation to solve is given as:

x^3=22

Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.

For removing the exponent, we have to take cubic root on both the sides. As we know that,

\sqrt[n]{x^n} =x

So, taking cubic root on both the sides, we get

\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}

Therefore, the second student has written the correct answer and hence the correct option is (B).

6 0
3 years ago
Read 2 more answers
How do solve this problem 2/3 (2/8 + 4/8) =
scoundrel [369]

Answer:

1/2

Step-by-step explanation:

2/3 (2/8 + 4/8) =

First simplify what is inside the parentheses

2/8+4/8 = 6/8

Replace with 6/8

2/3 (6/8) =

Then multiply

2*6 =12

3*8 = 24

12/24

Divide top and bottom by 12

1/2

6 0
3 years ago
Read 2 more answers
What is identity Property and zero property of multiplication
Olin [163]

anything multiplied by one is itself, anything multiplied by zero is zero

3 0
3 years ago
Read 2 more answers
How many centimeters are equivalent to 5 feet? (12 in = 1 ft)
Anni [7]

Answer:

155.448 cm

Step-by-step explanation:

5.1 ft * 30.48 / 1 cm

= 155.448 cm

A common question is How many foot in 5.1 centimeter? And the answer is 0.1673228346 ft in 5.1 cm. Likewise the question how many centimeter in 5.1 foot has the answer of 155.448 cm in 5.1 ft.

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do you simplify-3(-6)
    9·2 answers
  • A baker has 10 cups of sugar to make cookies. Each batch calls for 1 1/3 cups of sugar.
    11·2 answers
  • A new playground is in the shape of a square. on a scale drawing, the vertices of the playground’s coordinates are: (6,0.5)
    14·1 answer
  • A regular hexagon and an equilateral triangle have equal perimeters. what is the ratio of the area of the hexagon to the area of
    5·1 answer
  • Plz help asap i’m dumb
    12·1 answer
  • Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.
    5·1 answer
  • PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
    6·1 answer
  • What is the decimal equivalent of 7/12?
    7·2 answers
  • The teachers have $25 to buy supplies . Write and evaluate a numerical expression to show how much more money they will need to
    6·1 answer
  • I'll give the brainiest. Help please
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!