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padilas [110]
3 years ago
9

1. Why do you think the rule is called the difference of two squares?

Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0

Answer:

Below.

Step-by-step explanation:

1.  a^2 - b^2 = (a - b)(a + b)

a^2 and b^2 are 2 perfect squares and a^2 - b^2 are their difference.

2. The order of multiplication does not matter because in algebra  multiplication is commutative ( meaning any order gives the same result).

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Arlene writes this problem:
fredd [130]

it looks like its answers two, four, and five.

tell me how you did !

5 0
3 years ago
George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?
Juliette [100K]
540 seconds which is equal to 9 minutes.
7 0
3 years ago
Martin is paid an hourly rate of d dollars per hour for the first 40 hours he works per week. He is paid one-and-a-half times hi
Nat2105 [25]

Answer:

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

Step-by-step explanation:

Given that:

Hourly rate = d

Earning to first 40 hours = 40d

Earning of more than 40 hours = 1.5d

Amount paid per week = $770

Hours worked = 50 hours

first 40 hours + 10 hours = total earned

40d + 10(1.5d) = 770

Hence,

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

5 0
3 years ago
Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0
2 years ago
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x) 2. If we multiply a polynomial b
DIA [1.3K]

Answer:

1. k=0

2. yes, result is still a polynomial.

3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)

Step-by-step explanation:

1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)

for k=0 any polynomial f(x) will reduce f(k) to the constant term.

2. If we multiply a polynomial by a constant, is the result a polynomial?

Yes, If we multiply a polynomial by a constant, the result is always a polynomial.

3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?

Yes.  

If

deg(f+g) < deg(f) and

deg(f+g) < deg(g)

then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.

5 0
4 years ago
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