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BabaBlast [244]
2 years ago
6

Which is the pattern for factoring the sum of cubes​

Mathematics
2 answers:
vovikov84 [41]2 years ago
4 0

Answer: Its B

Step-by-step explanation: trust me i had this test

Stels [109]2 years ago
3 0

Answer:

4th option

Step-by-step explanation:

The factors of a³ + b³ are

a³ + b³ = (a + b)(a² - ab + b² )

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Alyssa wants to know the gas mileage of her new car. She kept track of the number of miles she traveled and the number of gallon
Anna [14]

Answer:

D


Step-by-step explanation:

Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.

"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".

<u>So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.</u>

Answer choice D is right.

3 0
2 years ago
LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

  • LX=6
  • Radius, XJ=JK=r
  • LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
2 years ago
Read 2 more answers
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c
Alex17521 [72]

Answer:

a)X=3300

b)Y=7770

Step-by-step explanation:

From the question we are told that:

Number Teachers T=6

Number Student S=12

Number in committee n=5

a) Generally the equation for exactly 3 students on the committee is mathematically given by

X=^{S}C_3*^{T}C_3

X=^{12}C_3*^{6}C_3

X=3300

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

T=^{(6+12)}C_5

T=8568

Therefore

Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5

Y=8568-798

Y=7770

8 0
2 years ago
A manufacturing company measures the weight of boxes before shipping them to the customers. Assume that the weights of boxes are
Sedaia [141]

Answer:

24

Step-by-step explanation:

3 0
2 years ago
Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of
il63 [147K]
(y - 0.18y) * 1.08
Just explain what each part of it means and try to make it seem long.
6 0
2 years ago
Read 2 more answers
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