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elena-14-01-66 [18.8K]
3 years ago
10

Determine whether the polynomial is a difference of squares and if it is, factor it.

Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

(y - 4)(y + 4)

Step-by-step explanation:

y² - 16 ← is a difference of squares

Since y² and 16 are both squares separated by a difference , that is minus

A difference of squares factors as

y² - 16

= y² - 4²

= (y - 4)(y + 4)

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A line that intersects one of two parallel lines intersects the other also.
IceJOKER [234]

Answer:

Never

Step-by-step explanation:

It is not possible for one out of two parallel lines to be cut by a transversal, because eventually it would have to intersect

8 0
3 years ago
Find the volume of the prisms. Show work!
Fed [463]

1. Answer =   About 1451.42 m³

  • First, we need to find the volume of the cube:
  • Formula: πr²h
  • Volume = π * 3² * 50 = 1413.72 m³
  • Second, we need to find the volume of the cone:
  • Formula: (πr²h)/3
  • Volume = π * 3² * 4 = 37.69 m³
  • Third, we need to add these two volumes to find the total volume of the figure.
  • 1413.72 m³ + 37.69 m³ = 1451.42 m³.

2. Answer <em>= </em>960 m³

  • Formula: (1/2(b*l)) * 20
  • First, we need to find the area of the base (1/2 * b* l).
  • 1/2 * 8 * 12 = 48.
  • Second, we need to multiply the area of the base by the height to get the volume.
  • B * h = 48 * 20 = 960 m³.
6 0
3 years ago
Calculate f(x) for the given domain values.
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

1. The given function is

f(x) =  - 3x

The domain values are: x=0, 2, -1, 4, -2

When x=0

f(0) =  - 3 \times 0 = 0

When x=2,

f(x) =  - 3 \times 2 =  - 6

When x=-1

f(x) =  - 3 \times  - 1  = 3

When x=4

f(4) =  - 3 \times 4 =  - 12

When x=-2

f( - 2) =  - 3 \times  - 2 = 6

2. The given function is

f(x) =  \frac{1}{3} x

When x=3,

f(3) =  \frac{1}{3}  \times 3 = 1

Similarly,

f( - 3) =  \frac{1}{3}  \times  - 3 =  - 1

f(300) =  \frac{1}{3}  \times 300 = 100

f( - 180) =  \frac{1}{3}  \times  - 180 =  - 60

f(99) =  \frac{1}{3}  \times 99 = 33

8 0
3 years ago
HELP DUE IN 10 MINUTES!!<br><br> Solve for x.<br><br> −2(4x+4) - 3x - 2 = 34
Andrej [43]

Answer:

- 2(4x + 4) - 3x - 2 = 34 \\  \\  - 8x - 8 - 3x - 2 = 34 \\  \\  - 8x -  3x = 34 + 8 + 2 \\  \\  - 11x = 34 + 8 + 2 \\  \\  - 11x = 44 \\  \\ x =  -  \frac{44}{11}  \\  \\ x =  - 4

5 0
2 years ago
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
tatyana61 [14]

Answer: c. a 270° rotation about point B'

5 0
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