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katrin2010 [14]
3 years ago
6

How to factor expressions? For example 4n + 4 • 2, 10t + 10 • 3, 7v + 7 • 8

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

8(n + 1)

30(t + 1)

56(v + 1)

Step-by-step explanation:

(4n + 4)(2)

4(n + 1)(2)

8(n + 1)

(10t + 10)(3)

10(t + 1)(3)

30(t + 1)

(7v + 7)(8)

7(v + 1)(8)

56(v + 1)

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Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

(x-h)^2+(y-k)^2=r^2

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8 0
3 years ago
Sara bought 4 pounds
Roman55 [17]

Answer:

$12.80

Step-by-step explanation:

Sara bought 4 pounds of coffee.

Each pound (lb) costs $3.20

To find the total cost, multiply the cost per pound ($3.20) with the amount of pounds Sara is going to buy (4):

4 x 3.20 = $12.80

$12.80 would be the total cost before tax.

~

3 0
4 years ago
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