Multiplying special cases of polynomials


1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Notice that v points into the third quadrant since both of its components are negative. If you want a vector to point in the same direction, it would need to have the same sign on its components. So C is the correct choice.

The factor of 1/√80 comes from normalizing the vector v. Its norm/magnitude is

|v| = √((-4)² + (-8)²) = √(16 + 64) = √80

so the unit vector that points in the same direction as v is simply v / |v|.

Answer:

3,50$

Step-by-step explanation:

(2,25 x 4) + 7,50 = 16,50$

20-16,50 = 3,50$

Answer:

v

Step-by-step explanation:

Answer:

15 feet by 40 feet

Step-by-step explanation:

if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.

Answer:

VT = 37.8 ft

Step-by-step explanation:

Here, we want to get the measure of VT

We need the diagram of the triangle here

We can get this in the attachment

From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle

VT does not face the given angle , nor the right angle; this mean VT is the adjacent

Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine

Thus;

cos 66 = VT/UT

cos 66 = VT/93

VT = 93 * cos 66

VT = 37.83

To the nearest tenth of a foot, VT = 37.8 ft

Answer:

5.95

Step-by-step explanation:

Answer:

area = 113.04 cm²

Step-by-step explanation:

radius = 12/2 = 6

area = πr² = 3.14(6²) = 113.04 cm²

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

Answer:

2W+2L=perimeter=74

Step-by-step explanation:

2W=74-2L

2(2W)+2(L/2)=76

substitute 74 - 2L for 2W in the last equation to solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.

Answer:

B

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 26 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 26 × 5 = 13 × 5 = 65 ft² → B

Answer:

your answer should be C.

Answer:

C) ( -2, 6)

Step-by-step explanation:

y = -3x

y = 5x + 16

-3x = 5x + 16

-8x = 16

x = -2

y= -3(-2)

y = 6

(x,y) ---> ( -2, 6)

Answer:

1378 -3839=10

Step-by-step explanation:

The new protocols, but the fact is a great place for a long time, and it was very nice to be able to get the best the first place in the same manner as the most important part in a row and the rest of us to do with it, but the fact is that it was the only one who thinks and the

Answer:

an enlargement or a reduction of the figure

a slide of the figure

a turning of the figure about some fixed point

a mirror image of the figure

The best description of a dilation of a figure is a slide of the figure.

What is dilation?

A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.

Now,

The best description of a dilation of a figure is a slide of the figure.

Learn more about the dilation visit:

https://brainly.in/question/7119691

#SPJ6

Answer:

145.12

Step-by-step explanation:

3.14 * 16 / 2 + 120

I basically got the same answer

Answer:

729

Step-by-step explanation:

9x9x9 = 729 in^3

Answer:

1) [tex]9^{2}=81[/tex]

2) [tex]7=log_{2}(128)[/tex]

Step-by-step explanation:

1)

We need to use the property of power and logarithms, particularly this:

[tex]a=x^{log_{x}(a)}[/tex] (1)

So, let's take take the exponent:

[tex]9^{log_{9}}(\frac{1}{81})=9^{-2}[/tex]

[tex]\frac{1}{81}=9^{-2}[/tex]

now, we can write the negavitve power as:

[tex]\frac{1}{81}=\frac{1}{9^{2}}[/tex]

So, the aswer will be:

[tex]9^{2}=81[/tex]

2)

Applying equation 1, let's take log in base 2 on each side of the equation

[tex]log_{2}(2^{7})=log_{2}(128)[/tex]

using the power definition in log, we have:

[tex]7log_{2}(2)=log_{2}(128)[/tex]

Therefore, the answer is:

[tex]7=log_{2}(128)[/tex]

I hope it helps you!

Answer:

you are correct do not say any other answer

Answer:

The answer is either

y=50000 x 0.8^x

or

y=50000(20%)^x but this just seems wrong

Step-by-step explanation:

Answer:

Problem 1: x = 129, Problem 2, x = 133

Step-by-step explanation:

Problem 1: x = (4-2)x180 - 71 -112 - 48     = 129

Problem 2: x = (6-2)x180 - 90 - 130 - 93 - 150 - 124      = 133

Answer:

The interior angles of a triangle add to 180°:a + b + c = 180°

Angles c and d make a straight angle, which is 180°:d + c = 180°

So d + c equals a + b + c:d + c = a + b + c.

Subtract c from both sides:d = a + b.

Step-by-step explanation:

(b) sixteen is the answer

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

Answer:

40,000

Step-by-step explanation:

Answer:3/5

Step-by-step explanation:

Ans

Step-by-step explanation:

a solution is always inside the shaded area!

Step-by-step explanation:

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

Answer:

B. 60°, 60°, 60°

Step-by-step explanation:

All triangle angles add up to 180

A) NOPE

50 + 45 + 45 = 140

B) YUP

60 + 60 + 60 = 180

C) NOPE

70 + 70 + 70 = 210

D) NOPE

80 + 55 + 25 = 160