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
Degger [83]
3 years ago
12

How do I factor this equation?

le="5x^{2} - 125y^{2}" alt="5x^{2} - 125y^{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
sdas [7]3 years ago
8 0

Answer:

5(x - 5y)(x + 5y)

Step-by-step explanation:

Note that 5 is common to both terms.  Thus,

5x² - 125y² = 5(x² - 25y²).

Also note that x² - 25y² is the difference of two squares and has factors (x - 5y) and (x + 5y).

In fully factored form, 5(x² - 25y²) is:

5(x - 5y)(x + 5y)

You might be interested in
Which describes the transformation shown please help
sergiy2304 [10]
90° clockwise, I think
5 0
3 years ago
19) Write in Ascending Order
tatuchka [14]
7.59km,7.6km,7613m hope that helps
6 0
3 years ago
The United States is about the only country that still uses the units feet, miles, and gallons. However, you might see some car
Black_prince [1.1K]

Answer: 4.5 \text{ miles per gallon}

Step-by-step explanation:

Given :  The fuel efficiency of car = 7.6 km per kilogram

We also given that

1 mile = 1.609 km

Then, \text{1 km}=\dfrac{1}{0.609}\text{ mile}

1 gallon = 3.785 liters

\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}

1 liter of gasoline = 0.729 kg

Then, \text{1 kg}=\dfrac{1}{0.729}\text{ liter}

\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}

Now, the fuel efficiency of car will be :

7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}

Hence,  the car’s fuel efficiency in miles per gallon= 4.5

3 0
3 years ago
Find the surface area and volume of a sphere with a radius r = 0.8 ft. Round your answer to the nearest tenth. A. 7.8 ft2; 2.6 f
fiasKO [112]
Surface area of a sphere = 4πr² 

Surface area of the sphere = 4π(0.8)² = 8.0 ft²


Volume of a sphere = 4/3 πr³

Volume of the sphere = 4/3 π(0.8)³ = 2.1 ft³


Answer: Surface area = 8.0 ft² and volume - 2.1 ft³ (Answer C)
7 0
3 years ago
What is the difference between the greatest and least amounts of rainfall
drek231 [11]

Answer:

- The greatest amount of rainfall is represented by the greatest number

- The least amount of rainfall is represented by the least number

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the slope of the line 5x-2y=10​
    8·1 answer
  • the numbers 1343 and 1413 both included for which statement is true about the value represented by 4 in 413
    5·1 answer
  • Y=|x-2|-4<br> Can someone help me
    6·1 answer
  • . Jamie is walking of a mile every
    11·2 answers
  • Find the area. what is the area ? Show work​
    9·1 answer
  • I need help with these question! Please do step by step-
    6·1 answer
  • Which equation can be used to find mArc M N? mArc M N + 150 = 180 mArc M N + 150 = 360 mArc M N – 150 = 180 mArc M N – 150 = 360
    15·2 answers
  • How do we draw graphs in those kinds of questions?
    9·1 answer
  • Which is equivalent to 64 1/4?
    12·1 answer
  • Find the area of the circle with a radius of 4 inches use 3.14 do not round your answer
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!