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
Allisa [31]
3 years ago
12

What is the following simplified product? Assume x greater-than-or-equal-to 0

Mathematics
2 answers:
nlexa [21]3 years ago
5 0

Answer:

  10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}

Step-by-step explanation:

Remove perfect squares from under the radicals.

  (\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}

_____

The applicable rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  √(a^2) = a . . . . . . . for a > 0

  (√a)(√b) = √(ab)

lapo4ka [179]3 years ago
4 0

Answer:

See attached.

Step-by-step explanation:

You might be interested in
PLEASEPLEASE ANSWER
IRINA_888 [86]

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

3 0
3 years ago
Triangle FGH is an equilateral triangle.FH=6x+1,FG=3x+10,and GH=9x-8
Lena [83]

Answer:

Acute triangle

x = 3

GH = 19

Step-by-step explanation:

7 0
3 years ago
Roberto will save 1/6 of his alowence each day. If he gets $2.00 a day, about how much money will he save each day? Round your a
Tresset [83]
2.00/6 = $0.33 rounded to the nearest penny, it actually is $0.333333333333 (infinite)

I hope this helped you out :)
5 0
3 years ago
Let f(x) = .............
galben [10]

Answer:

4

Step-by-step explanation:

g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14

|f(2)| = | 2^2 -3| = | 4-3| = 1

(g(3) +2) = (14+2) = 16

4*  |f(2)|  = 4*1 = 4

16/4 = 4

5 0
3 years ago
Stella wants to buy colored pencils that cost $3.50. She has 1 dollar, 5 quarters, 4 dimes, and 7 pennies. Does she have enough
Andrews [41]

Answer:

no

Step-by-step explanation:

Lets she how much money she has

1.00   dollars

5 * .25 = 1.25 quarters

4 * .10 = .40 dimes

7 * .01 = .07 pennies

Add it all together

1 + 1.25+ .40 +.07 =2.72

3.50 - 2.72 =.78

She is 78 cents short

6 0
3 years ago
Other questions:
  • What two numbers multiply to get 120 and add or subtract to get negative 22?
    13·2 answers
  • What is the exact circumference of a circle with a diameter of 15 in.? Enter your answer in the box.
    11·1 answer
  • What is the best solutionto this equation?<br> x+8= -2<br> A.-10<br> B.-6<br> C.6<br> D.10
    5·1 answer
  • Determine the value of x<br>A 2 root6<br>B6 root2<br>C-6 root3<br>D-12​
    14·1 answer
  • Can you please answer the following
    8·1 answer
  • Which values of k are solutions to the inequality |-k-2|&lt;18? Check all that apply<br> -40
    5·2 answers
  • Can someone help me?? Please
    12·2 answers
  • A pack of gum is in the shape of a rectangular prism with a length of 8 centimeters and a width of 2 centimeters. The volume of
    6·1 answer
  • 5 hundreds 4 hundredths = blank ​
    14·1 answer
  • 54 people are competing in an athletic event. The top 4 competitors receive prize money, with 1st being worth more than 2nd, 2nd
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!