All categories

2 years ago

Choose the correct simplification of the expression (−2x + 6y)(4x − 6y).

Mathematics

2 answers:

Minchanka [31]2 years ago

8 0

Answer:

$-8x^2 +36xy - 36y^2$

Step-by-step explanation:

(−2x + 6y)(4x − 6y)

To multiply this we use FOIL method

first we multiply -2x with 4x, it becomes -8x^2

Then multiply -2x with -6y, we get 12xy

multiply 6y with 4x, we get 24xy

multiply +6y with -6y, we get -36y^2

Now we commbine all the answers we got

$-8x^2 +12xy+24xy - 36y^2$

combien like terms

12xy+24xy= 36xy

$-8x^2 +36xy - 36y^2$

sashaice [31]2 years ago

8 0

Answer:

-8x^2+36xy-36y^2

Step-by-step explanation:

You might be interested in

Which linear inequality could represent the given table of values? y < –2x + 3 y ≤ –2x + 3 y > –One-halfx – 3 y ≤ –One-hal

Margarita [4]

Answer:

< –2x + 3 y ≤ –2x + 3 y > hope this helps lol...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

8 1

2 years ago

Please help me understand and explain it to me please.<br><br>Recursive Sequence Function

DedPeter [7]

A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.

We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule

f(n + 1) = -4 f(n) + 3

We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)

f(1 + 1) = -4 f(1) + 3

f(2) = -4 • 1 + 3

f(2) = -1

We do the same thing to find the next term f(3) :

f(2 + 1) = -4 f(2) + 3

f(3) = -4 • (-1) + 3

f(3) = 7

One more time to find the next term f(4) :

f(3 + 1) = -4 f(3) + 3

f(4) = -4 • 7 + 3

f(4) = -25

4 0

2 years ago

The blue segment below is a diameter of 0. What is the length of the radius of the circle

Norma-Jean [14]

Answer:

Option (B) 5.1 units

Step-by-step explanation:

Since the radius of the circle is half of its diameter and given the diameter of the circle is 10.2 units then the radius would be $\frac{10.2}{2} = 5.1 units$

Thus the answer.

3 0

3 years ago

Read 2 more answers

Kim rode her biyciclye 135 miles in 9 weeks. Eric rode her biciclye 102 miles in 6 weeks riding the sam edistance each week what

sdas [7]

Answer:

A.) Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Kim rode her biyciclye 135 miles in 9 weeks.

Number of miles Kim rode per week = Total miles travelled / number of weeks

= 135 miles / 9 weeks

= 15 miles per week

Eric rode her biciclye 102 miles in 6 weeks

Number of miles Eric rode per week = Total miles travelled / number of weeks

= 102 miles / 6 weeks

= 17 miles per week

The correct answer is

A.) Eric rode 2 more miles per week than Kim rode

3 0

3 years ago

A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower

stira [4]

For this case we have the following equation:
w = F • PQ
Where,
w: work done
F: is the force vector
PQ: is the vector of the direction of movement.
Rewriting the equation we have:
w = || F || • || PQ || costheta
Substituting values:
w = (60) * (100) * (cos (45))
w = (60) * (100) * (root (2) / 2)
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.6 lb.ft

7 0

3 years ago