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
nordsb [41]
3 years ago
11

Sketch the algebra-tile shape at right on your paper. Write an expression for the

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

Part 1) P=(4x+4)\ units

Part 2)

a) P=32\ units

b) P=26\ units

c) P=13\frac{1}{3}\ units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the  perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

A=x^2\ units^2

so

The length and the width of the larger square is x units

2) The area of the rectangle is given

A=x\ units^2

so

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

so

P=(x+x+x+x+1+1+1+1)

P=(4x+4)\ units

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

P=(4(7)+4)=32\ units

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

P=(4(5.5)+4)=26\ units

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units

You might be interested in
9/16 divided by 9 plz help thx for everyone that has helped me
Verizon [17]
0.5625 will be the answer to 9 divided by 16
3 0
2 years ago
The sum of 3 consecutive even numbers is 66. write an equation and solve to find the smallest even number.
Alekssandra [29.7K]
X+(x+2)+(x+4)= 66
3x+6=66
3x=60
x=20

20,22, and 24. so 20 is the answer
6 0
3 years ago
Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
Which exponential equation is equivalent to the logarithmic equation below? log 478= a
marta [7]
\hbox{if } \log_x y=z \hbox{ then } x^z=y \\ \\&#10;\log 478=a \\ \downarrow \\&#10;\log_{10} 478=a \\ \Downarrow \\ \boxed{10^a=478}

The answer is A.
5 0
3 years ago
5x=10 solve the equation for x
kobusy [5.1K]

Answer:

x = 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • -6 (9 - 4)
    9·1 answer
  • Please help me with these questions
    10·1 answer
  • Help needed ASAP will give you BRAINLIEST and 5 stars rate
    13·1 answer
  • Divide f(x) by d(x), f (x)= x^4+2x^3-8x^2-20x+30, d (x)=x^2+2x-3
    13·1 answer
  • If f(1) = 1 and f(n) = 3f(n − 1) then find the value of f (6).​
    9·1 answer
  • Suppose that two teams are playing a series of games, each of which is independently won by team A with probability p and by tea
    14·1 answer
  • Explain your answer !!<br><br> Have a great day <br><br> Will give brainlst
    8·1 answer
  • Replace 1 week with an equivalent factor in days.
    10·1 answer
  • Can someone help.. i’ll chose brainliest if best
    12·2 answers
  • A soccer league has $630 to buy new soccer
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!