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Pie
3 years ago
5

Multiply. 4x(y+x+z)please help​

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
7 0

Answer:

4xy+4x^2+4xz

Step-by-step explanation:

You would just factor the first 4x to the rest of the terms and if they are different letters just tack them on at the end, in the case of 4x times x it would square to 4x^2

liubo4ka [24]3 years ago
3 0

Answer:

4xy + 4x² + 4xz

Step-by-step explanation:

4x(y+x+z)

4xy + 4x² + 4xz

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what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
nydimaria [60]

Answer:

x² + y² + 4x - 2y + 1 = 0

Step-by-step explanation:

The equation of a circle is given by the general equation;

(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.

In this case; the center is (-2,1)

We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)

Radius = √((-4- (-2))² + (1-1)²)

             = 2

Therefore;

The equation of the circle will be;

(x+2)² + (y-1)² = 2²

(x+2)² + (y-1)² = 4

Expanding the equation;

x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;

x² + 4x + y² - 2y + 4 + 1 -4 = 0

= x² + y² + 4x - 2y + 1 = 0

4 0
3 years ago
Read 2 more answers
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}​
iren [92.7K]

Answer:

A) a_n = 5n + 2

B) a_n = (2^(n + 1)) - 1

Step-by-step explanation:

A) The sequence is given as;

{7,12,17,22,27,...}

The differences are:

5,5,5,5.

This is an arithmetic sequence following the formula;

a_n = a_1 + (n - 1)d

d is 5

Thus;

a_n = a_1 + (n - 1)5

Now, a_1 = 7. Thus;

a_n = 7 + 5n - 5

a_n = 5n + 2

B) The sequence is given as;

{ 3,7,15,31,63,...}​

Now, let's write out the differences of this sequence:

Differences are:

4, 8, 16, 32

This shows that it is a geometric sequence with a common ratio of 2.

In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15

Thus, a_2 = 2a_1 + 1

Also, a_(2 + 1) = 2a_2 + 1

Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1

Thus; a_n can be expressed as:

a_n = (2^(n + 1)) - 1

7 0
3 years ago
Cylinder A and cylinder B have the same height. Cylinder A has a radius that is twice as long as cylinder B's. Which
arlik [135]

Answer: B The volume of cylinder A is four times the volume of cylinder B

Step-by-step explanation:

I got it right

8 0
3 years ago
Read 2 more answers
Plz help !!!!!!!! A rectangular park is 400 m long and 200 m wide. If you walked around the park twice, how far would you walk?
aliina [53]

Answer:

160,000

Step-by-step explanation:

400 * 200 is 80,000 just walking around once, so then multiply it by two.

80,000 * 2 is 160,000

4 0
3 years ago
A group of church members chartered a bus for $832. After making the arrangements, 6 more members decided to join the excursion
g100num [7]
Let x = # of original members
Cost per person (originally) = 832/x
Cost per person after 6 more people = 832/(x+6)
Solve 832/x=832/(x+6) +6  (because the cost was reduced by 6 
Solve for x.
x = 26 or -32 (but x is number of members, so it can't be negative)
# of original members is 26.
Original cost is 832/26 = $32 per person.
3 0
3 years ago
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