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
11Alexandr11 [23.1K]
4 years ago
14

Solve for a: a(a-3) =100

Mathematics
1 answer:
marissa [1.9K]4 years ago
5 0
a(a-3) =100\\
a^2-3a-100=0\\
\Delta=(-3)^2-4\cdot1\cdot(-100)=9+400=409\\
\sqrt{\Delta}=\sqr{409}\\
a_1=\dfrac{-(-3)-\sqrt{409}}{2\cdot1}=\dfrac{3-\sqrt{409}}{2}\\
a_2=\dfrac{-(-3)+\sqrt{409}}{2\cdot1}=\dfrac{3+\sqrt{409}}{2}
You might be interested in
One inch of rain on a square foot of land weights 5.2 pounds. About how many ghallons of rain are there? round your answer to th
mrs_skeptik [129]

Answer: 0.60 gallon

Step-by-step explanation:

There are 12pounds in a standard US gallon.

12pounds= 1 gallon

5.2 pounds=?

5.2/12 × 1 gallon

0.624 gallon

Rounding to the nearest tenth =0.60

5 0
3 years ago
What dose this equal ?????<br> 5+14a=9a-5
madreJ [45]

Simplify both sides of the equation.

---------> 14a + 5 = 9a − 5

Subtract 9a from both sides.

-------=> 5a + 5 = − 5

Divide both sides by 5.

--------> −2

<h2>The correct answer:  a = −2</h2>
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=4x%20%2B%205y%20%3D%2019%20%5C%5C%20x%20%2B%205y%20%3D%2013" id="TexFormula1" title="4x + 5y =
FrozenT [24]
Subtract 5y from both sides of the equation
X=13-5y
4 0
3 years ago
Simplify as much as possible.<br> 2w?V32wu? + u V 18w5<br> ?
frosja888 [35]

Answer:

11 {w}^{2}u \sqrt{2w}

Step-by-step explanation:

I'm never sure how far to go on these questions but I think what I'e done looks pretty nice. Essentially I simplified each radical, factored out each variable, combined the radicals after more simplification, and then picked the answer you were most likely looking for. I gave some alternatives in my work that are "simple" too, but the answer above is most likely I'd say.

Work is in the attachment, comment with any questions.

6 0
3 years ago
A teacher polled only the 8th grade students in English classrooms on what their favorite color is. She found that the favorite
amid [387]

Answer:

This is a biased sample.

Step-by-step explanation:

This is because she gave a random sample, but the she had the convenience of the students being with her when she surveyed. So it'e not actually random. She could also worded the survey or gave a biased response.

4 0
3 years ago
Other questions:
  • Solve the following: 5x - 14 = 8x + 19 *​
    9·2 answers
  • A rope 16 feet long is cut into two pieces. one piece is used to form a circle and the other used to form a square. find a funct
    9·1 answer
  • Kevin delivers newspapers in his town every morning. The amount he earns from delivering newspapers is given by y = 30x + 18, wh
    12·1 answer
  • A man whose height is 2.1 m casts a shadow that is 3.2 m in length. What is the approximate height of a building that casts a sh
    9·1 answer
  • Х<br> У<br> о<br> 12<br> 1<br> 8<br> N<br> 4<br> 3<br> о<br> 4<br> 4
    8·1 answer
  • Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
    9·1 answer
  • Who helped / guide you in answer your module?​
    9·1 answer
  • The vertices of figure PQR are
    13·1 answer
  • Rayyan runs an average distance of 650 m each day. Find the total distance he runs in 7 days. Give your answer in Km.
    5·1 answer
  • A construction worker bought47 13/16poundsofnails. When those nails were all used, she bought2 1/2timesas many nails as she had
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!