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
xz_007 [3.2K]
3 years ago
12

Which terms and 45p^4q have a GCF of 9p^3?

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

The answer is 18p^3r and 63p^3

Step-by-step explanation:

G.C.F of 18p^3 r and  45p^4q is = 9p^3

18p^3r = 2*3*3*p*p*p*r

45p^4q = 3*3*5*p*p*p*q

Thus the G.C.F is 3*3*p*p*p = 9p^3

G.C.F of  63p^3 and  45p^4q is = 9p^3

63p^3 = 3*3*7*p*p*p

45p^4q = 3*3*5*p*p*p*q

Thus the G.C.F is 3*3*p*p*p = 9p^3

Therefore the answer is 18p^3r and 63p^3....

You might be interested in
What is the sum of 3/x=9/16
Studentka2010 [4]
Multiply 3 by both sides answer x=27/16 or in decimal 1.6875
7 0
3 years ago
Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ
liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

  • Mx(x,y) = d/dx 8x²y = 16xy
  • Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

We conclude that the line integral is 1/2

4 0
2 years ago
Blank DVD's are sold in packages of 50 for $17.95 if your company will need 2700 blank divide these next year how much money mus
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

50 X 240 = 2700. So you will need 240 packs of 50. They cost 17.95 each, so the multiply. 240 X 17.95 is 4,308. So, 4,308 is your answer.

5 0
2 years ago
What is the range of y=log^2(x-6)
Marysya12 [62]

Answer:

y\geq 0 or [0, \infty)

Step-by-step explanation:

By definition the function

y = log (x) has a domain of x> 0.

Since the function is not defined for the values of x negative or equal to zero.

The range of this function is all the real numbers.

Since y when 0 and y\geq0 when 1\leq x

In this case we have the function y = log ^ 2 (x-6)

Therefore since the log function is squared then its range is now y\geq 0

6 0
3 years ago
Read 2 more answers
What is the slope for (7,-14)
san4es73 [151]
The slope is negative two (-2)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Multiply help on this please
    14·1 answer
  • How to verify frac(sec theta/ csc theta- cot theta -frac(sectheta/csc theta +cot theta = 2csc theta
    7·1 answer
  • Based on the pattern table what is the value of a?
    11·2 answers
  • Ac = 18 and CD = 5 AD ?
    10·1 answer
  • What is the x-intercept and the y-intercept of the graph of 2x+6y=18
    11·1 answer
  • Find the m slope in 8x+10y=11
    12·1 answer
  • Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to depreciate at a rate of 10%
    5·1 answer
  • The equation P = 21 + 2w can be used to find the perimeter of a rectangle. A 1 point rectangular shaped playground is enclosed b
    12·1 answer
  • Please Help Me!!! I'm Being Timed!!! What is -2(3x+12y-5-17x-16y+4) simplified?
    10·1 answer
  • PLEASE HELP!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!