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
expeople1 [14]
3 years ago
6

the rectangle shown has a perimeter of 70cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a s

ystem of equations to find the dimensions of the rectangle
Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

Dimensions of rectangle are:

Length = 26 cm

Width = 9 cm

Step-by-step explanation:

Perimeter of rectangle = 70 cm

Width= x

Length = 2x+8

We need to find the value of length and width of rectangle.

The formula used is:

Periemter\,\,of\,\,rectangle=2(Length+Width)

Putting values:

Periemter\,\,of\,\,rectangle=2(Length+Width)\\70=2(2x+8+x)\\70=2(3x+8)\\70=6x+16\\70-16=6x\\54=6x\\x=54/6\\x=9

So, Value of Width = x = 9 cm

Value of Length = 2x+8 = 2(9)+8 = 18+8=26 cm

So Dimensions of rectangle are:

Length = 26 cm

Width = 9 cm

Keywords: Perimeter of rectangle

Learn more about Perimeter of rectangle at:

  • brainly.com/question/6594923
  • brainly.com/question/1822996
  • brainly.com/question/2860697

#learnwithBrainly

You might be interested in
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
irga5000 [103]

Answer

a= -6

Step-by-step explanation:

-2(a-3)=12

1.) -2(a)= -2a

2) -2(-3)= 6

3)  -2a+6=12

          -6    -6

4) -2a/-2 = 12/-2

a = -6

3 0
3 years ago
Can someone help me understand how to do this quadratic math problem
Juliette [100K]

Answer:

  put all of the expressions into the same form, such as standard form

Step-by-step explanation:

When you're trying to determine whether one expression is equivalent to another, you need to put both of the expressions into the same form. This will generally require some algebraic manipulation using the rules of equality.

Here, you're given a quadratic in standard form. From what we can see of the one partial answer, some of the choices are in vertex form. To determine if they are equivalent, you can do either of two things ...

  1. Put the given expression into vertex form
  2. Expand the answer choice to put it in standard form

___

<em>For multiple-choice questions</em> of this type, it is often sufficient to look at one or two terms of the different equations. That is usually all it takes to separate a good answer from a bad one.

You can start with the x^2 term. Any answer choice that has an x^2 coefficient different from 1 will be rejected.

Next, you can look at the sign of the x term. Any answer choice that doesn't have a positive x term will be rejected.

Finally, you can look a the constant term. Any answer choice that doesn't have a constant term of +4 will be rejected.

___

As it happens, the given equation is a perfect square, so one equivalent is ...

  y = (x +2)^2

_____

When working with quadratics, it can be helpful to memorize a couple of the ways they can be written:

  (x +b)^2 = (x^2 +2bx + b^2)

This is a special case of ...

  (x +a)(x +b) = x^2 +(a+b)x + ab

3 0
3 years ago
Verbal expression x to the third power times y to the 4th power???
Molodets [167]

Step-by-step explanation:

First;

x to third power=x³

y to 4th power=y⁴

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>c</u><u>o</u><u>n</u><u>d</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>

expression=x³ × y⁴

=x³y⁴

3 0
2 years ago
the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
fredd [130]

25,28,32,37,43,50,58,67.

\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

4 0
2 years ago
A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass
hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle.  The height of the triangle is 150 ft, and the opposite angle is 40°.  The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

4 0
3 years ago
Other questions:
  • Keaton wrote the following paragraph proof for the Vertical Angles Theorem: The sum of angle 1 and angle 4 and the sum of angle
    9·2 answers
  • B/13-3b/13=8/13 help please
    6·1 answer
  • Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k
    12·1 answer
  • Which is a logical conclusion based on the information given in the figures
    14·1 answer
  • What percentage of 2km is 80m​
    14·1 answer
  • ((v-9))/(9)=(4)/(10)
    9·2 answers
  • [(8 + 3) -(5-1)] +08-3) - (5 + 1)]?​
    15·1 answer
  • Please help I’ll give points
    8·1 answer
  • At a party, 70 people are right-handed
    8·2 answers
  • Write down the gradient of the<br> line with equation y = 5X-8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!