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
Kazeer [188]
3 years ago
7

Evaluate (101.5)²-(100.5)²​

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

You can exploit the difference-of-squares identity,

<em>a</em>² - <em>b</em>² = (<em>a</em> - <em>b</em>) (<em>a</em> + <em>b</em>)

Then

101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)

101.5² - 100.5² = 1 * 202

101.5² - 100.5² = 202

You might be interested in
What is the vertex of the quadratic function below?
Lina20 [59]

i say the answer is c

7 0
3 years ago
What are the two solutions of 2x2 = –x2 – 5x – 1?
77julia77 [94]

Answer:

The answer is

<h3>x =  \frac{ - 5 +  \sqrt{13} }{6}  \:  \:  \:  \: or \:  \:  \: x  =  \frac{ - 5 -  \sqrt{13} }{6}</h3>

Step-by-step explanation:

2x² = - x² - 5x - 1

<u>Rearrange the terms and simplify</u>

That's

2x² + x² + 5x + 1 = 0

3x² + 5x + 1 = 0

Using the quadratic formula solve the equation

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 3 , b = 5 , c = 1

So we have

<h3>x =  \frac{ - 5\pm \sqrt{ {5}^{2} - 4(3)(1) }}{2(3)}  \\  =  \frac{ - 5\pm \sqrt{25 - 12} }{6}  \\   = \frac{  - 5\pm \sqrt{13} }{6}</h3>

We have the final answer as

<h3>x =  \frac{ - 5 +  \sqrt{13} }{6}  \:  \:  \:  \: or \:  \:  \: x  =  \frac{ - 5 -  \sqrt{13} }{6}</h3>

Hope this helps you

4 0
3 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
creativ13 [48]

Answer:

x = 3/-16

y = 7/4

Step-by-step explanation:

12x - y = -4 ------------(1)

4x -3y = -6 -------------(2)

From the first equation, find y

y = 12x + 4

Now plug in y = 12x + 4 in the second equation, we get

4x - 3(12x + 4) = -6

4x - 36x - 12 = -6

-32x -12 = -6

-32x  = 12 - 6

-32x = 6

x = 6/-32

x = 3/-16

Now plug in x = 3/-18 in y = 12x + 4 and find the value of y.

y = 12(3/-16) + 4

y = 36/-16 + 4

y = 9/-4 + 4

y = -2 1/4 + 4

y = 1 3/4

y = 7/4

Hope this will helpful.

Thank you.

7 0
3 years ago
The scores of adults on an IQ test are approximately Normal with mean 90 and standard deviation 18. An organization requires an
ICE Princess25 [194]
The answer is .0228. Let me know if this helps

5 0
3 years ago
An adult female elephant weights about 8000 pounds. A newborn baby elephant weighs about 200 pounds. Write the ration of the bab
natita [175]
The ratio would be 40:1 or 40/1. All you would do is divide the two by numbers that they are divisible until you can't divide anymore and that is your ratio.
5 0
3 years ago
Other questions:
  • Can someone help me with this?
    11·1 answer
  • A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t
    15·1 answer
  • Can someone please explain this to me? I've been staring at this for 10 minutes.
    11·2 answers
  • Tito wrote the following on the board. What is the unknown number?
    6·2 answers
  • Find the slope of the following graph and Identify the type of<br> Slope:
    8·1 answer
  • How do you write 1.45 as a percent?
    13·2 answers
  • Can someone please tell me what to do in this question im so confused
    10·1 answer
  • The hour hand of a clock moves −30° every hour. How many degrees does it move in 2&amp;1/5 hours?
    10·1 answer
  • Can 1 be expressed as a fraction
    13·2 answers
  • What is the minimum value for the function shown in the graph? Enter your answer in the box. A sinusoid function graphed on a co
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!