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
lys-0071 [83]
3 years ago
10

(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following ​

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

Answer:

Step-by-step explanation:

(\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a  + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\

=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}

You might be interested in
Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

  • slope = m = -5/4
  • point = (8, -9)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

y+9=\frac{-5}{4}\left(x-8\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y+9=\frac{-5}{4}\left(x-8\right)

subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

y=-\frac{5}{4}x+1

Therefore, the equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

7 0
3 years ago
Gather information from relevant source and write about the he Earth's moon .<br>1000 words​
just olya [345]

Answer:

The Moon's orbit around Earth has a sidereal period of 27.3 days. During each synodic period of 29.5 days, the amount of visible surface illuminated by the Sun varies from none up to 100%, resulting in lunar phases that form the basis for the months of a lunar calendar. The Moon is tidally locked to Earth, which means that the length of a full rotation of the Moon on its own axis causes its same side (the near side) to always face Earth, and the somewhat longer lunar day is the same as the synodic period. That said, 59% of the total lunar surface can be seen from Earth through shifts in perspective due to libration.[17]

The most widely accepted origin explanation posits that the Moon formed about 4.51 billion years ago, not long after Earth, out of the debris from a giant impact between the planet and a hypothesized Mars-sized body called Theia. It then receded to a wider orbit because of tidal interaction with the Earth. The near side of the Moon is marked by dark volcanic maria ("seas"), which fill the spaces between bright ancient crustal highlands and prominent impact craters. Most of the large impact basins and mare surfaces were in place by the end of the Imbrian period, some three billion years ago. The lunar surface is relatively non-reflective, with a reflectance just slightly brighter than that of worn asphalt. However, because it has a large angular diameter, the full moon is the brightest celestial object in the night sky. The Moon's apparent size is nearly the same as that of the Sun, allowing it to cover the Sun almost completely during a total solar eclipse.

4 0
2 years ago
the beta club is raising money to buy bags of food to donate to a local animal shelter. A bag of cat food cost 12$. If they rais
GaryK [48]

Answer: 0.03269754768

Step-by-step explanation:

divide 12/367

search it up

8 0
2 years ago
H&gt;
arsen [322]

Answer:

C

Step-by-step explanation:

3*-4

3 0
3 years ago
Need help asap!! Thank u
fiasKO [112]

Step-by-step explanation:

There is 10 questions which in this case are the trials.

We know we can either get a question right or wrong so the two outcomes are right or wrong.

The probability that a student choose the right outcome is 1/4. since there is one right answer out of 4 chocies.choices.

Yes, the trials likelihood outcome of each outcome is the same. so it's independent

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve: (Y - 1.2895)/ 18594 = 18590 (Y-1.8590)
    8·1 answer
  • How do you solve 4x+5y=20?​
    5·1 answer
  • A new car usually costs £8500. Henry gets a discount of £1000. What is the discount as a percentage of the the usual cost? Give
    15·1 answer
  • What is your first step when solving x/15 = 3/5? Explain<br> I need this by tonight
    6·1 answer
  • If you ordered 5 1/2 pounds of food for 15 people, write an equation that shows how much food, y, you will need for each person,
    8·1 answer
  • 2(2x−3)+4&lt;6x+7−11 just need the answer for this !!!! helppp
    5·1 answer
  • The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.
    14·1 answer
  • I forgot what the definition of y-axis and x-axis was
    9·2 answers
  • Car Survey In a survey of 1,900 people who owned a certain type of car, 1,235 said they would buy that type of car again. What p
    10·1 answer
  • A cone-shaped container has a height of 6 feet and a diameter of 3 feet. It will be filled with concrete mix that costs $2. 00 f
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!