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
irina1246 [14]
3 years ago
10

The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸

and 30y⁶. What is the length and width of the rectangle?
Mathematics
2 answers:
Lorico [155]3 years ago
6 0

Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

We are told that the width of the rectangle is equal to the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Express each term as a product to pick out the common factors:

70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6

In the two terms, the common terms are 10 and y^6. Therefore their greatest monomial factor =10y^6

The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8

aev [14]3 years ago
4 0

Answer:

Step-by-step explanation:

You might be interested in
Use the given data to find the equation of the regression line. examine the scatterplot and identify a characteristic of the dat
kari74 [83]

Answer:

y = 1.5x + 3.2009  

Step-by-step explanation:

I plotted your points and drew a linear regression line.

Its equation is

y = 1.5x + 3.2009

The regression line ignores the fact that the points fall along a smooth curve.

A parabolic regression line fits the data much better.

The equation for that line is

y = - 0.1647x² + 4.1357x - 5.6946

It is the equation for a vertical parabola opening downward.

7 0
3 years ago
Can you please help me
trapecia [35]
X = 70 and y = 35, I hope this helps
5 0
3 years ago
Read 2 more answers
Boris bought 28 pounds of sugar for $11.
Drupady [299]

Answer:

about $2.54 per pound of sugar

5 0
3 years ago
Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (ne
JulijaS [17]

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

we have

A(4,3) and B(-2,1)

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the given values

AB=\sqrt{(1-3)^{2}+(-2-4)^{2}}

AB=\sqrt{(-2)^{2}+(-6)^{2}}

AB=\sqrt{40}\ units

therefore

StartRoot 2 squared + 6 squared EndRoot

7 0
3 years ago
Read 2 more answers
Find the minimum angle of rotation of the given figure a. 40* b. 60* c. 45* d. 8*
Mila [183]
I’m not an expert at this but my guess is 45 degrees. Can you let me know what the correct answer was?
6 0
2 years ago
Read 2 more answers
Other questions:
  • -2 n is an integer what are the possible values of n
    14·2 answers
  • I am a fraction greater than 1/2 and less than 6/8
    7·2 answers
  • What is a fraction for 0.8
    10·1 answer
  • What’s 17/5 as a decimal?
    10·2 answers
  • Mathematical model in real life
    14·1 answer
  • Evaluate each expression when x=2, y=-5 and z=3 <br> xy-z
    8·1 answer
  • Can someone please help i will give brainlest!
    14·2 answers
  • -1/13-10/39 in lowest terms
    6·1 answer
  • Brainiest if correct or first<br> 1/2(6x+1/2)
    11·2 answers
  • The hexagon below has been reduced by a scale factor of One-third.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!