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
zalisa [80]
3 years ago
7

Rebecca solved

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

No.

\sqrt{45}=3\sqrt{5}  \\2\sqrt{20} =2\sqrt5}

If you add them up you DO NOT GET 5\sqrt{5}. According to mathematics, it equals to 7\sqrt{5}.

You might be interested in
Mr parkers fourth-grade class is selling candles for a fundraiser each candle costs 7 dollars the class is hoping to raise 350 d
Citrus2011 [14]

Answer:

2

Step-by-step explanation:

350-336=14 7+7=14

3 0
2 years ago
Read 2 more answers
If f(x) = 2x^2 + 1 and g(x) = x^2 - 7, find (f+g)(x)
jarptica [38.1K]
(f + g)(x) means f(x) + g(x)

So, you just input the function of f(x) and g(x) altogether, then simplify it.
(f + g)(x) 
= f(x) + g(x)
= 2x² + 1 + x² - 7
= 2x² + x² + 1 - 7
= 3x² - 6

The answer is b
5 0
2 years ago
Use distributive property to factor method 1. Use distributive property to expand method 2.
sasho [114]

Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

x + 5 = (x - 2)(x + 5)

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

4 0
2 years ago
What is the square root of -2i?
Studentka2010 [4]

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of z=0-2i. First, convert from Cartesian to polar form:

r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2

\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}

z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})

Next, use the formula \displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr] where \displaystyle k=0,1,2,...\:,n-1 to find the square roots:

<u>When k=1</u>

<u />\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr]

\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr]

\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)

\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i

<u>When k=0</u>

<u />\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr]

\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)

\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i

Thus, the square roots of -2i are 1-i and -1+i

4 0
1 year ago
Choose the best estimate for the length of a piece of notebook paper.
NNADVOKAT [17]

Answer:C.11 in

explanation:Hope I helped:)

4 0
2 years ago
Read 2 more answers
Other questions:
  • The antiderivative of 5x
    7·1 answer
  • krystal is comparing two internet service plans. plan 1 costs $34.99 per month. plan 2 costs $134.97 every 3 months. if krystal
    10·1 answer
  • Which equation represents the graph shown?
    15·2 answers
  • Write and solve an equation to find the value of x and the missing angle measures
    14·1 answer
  • Is 3 squared times 4 squared equal 12 squared ? Evaluate each side of the equation to explain your answer.
    9·2 answers
  • Can someone help me I don’t get it
    10·1 answer
  • Two numbers have the sum of 116. The same two numbers have a difference
    13·1 answer
  • Need help ASAP please
    9·2 answers
  • Please help with this question
    6·1 answer
  • 8.36 Polly the Penguin invested $250 in the Antarctic stock market. During the first year her investment suffered a 15% loss, bu
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!