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blsea [12.9K]
3 years ago
11

Consider the polynomial 16x2 – 1. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add t

o get b? The factored form of 16x2 – 1 is
Mathematics
2 answers:
WINSTONCH [101]3 years ago
9 0
ANSWER

The given expression is
16 {x}^{2}  - 1


This expression can be rewritten as,

16 {x}^{2}  + 0x - 1

By comparing to
a{x}^{2}  + bx + c
a=16,b=0,c=-1
ac =  - 16


Two numbers that we multiply to get
- 16
and add to get zero are
- 4 \: and \: 4




The factored form is


16 {x}^{2}  - 4x  + 4x- 1


4x(4x - 1)  +1( 4x- 1)

(4x + 1)(4x - 1)



We factor further to get,


Sphinxa [80]3 years ago
5 0

1. -16

2. 0

3. -4 and 4

4. (4x-1)(4x+1)

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Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
2 years ago
P^2 - 17p + 72 factor the trinomial. enter smaller number first ? answer (p+?)(p+?)
klio [65]

Answer:

(p - 8)(p - 9)

Step-by-step explanation:

We need  2 numbers whose product is + 72 and whose sum = -17.

They are -8 and -9


3 0
2 years ago
Is (1,3) a solution of y = 3x2?
pickupchik [31]
No this is the awnser-3x+y=2
8 0
2 years ago
Ok i have a few questions please give examples and descriptions as well
Arte-miy333 [17]

Answer:

1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.

2)Where you multiply the two exponents together

3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.

Step-by-step explanation:

1) 3^3 x 3^4 = 3 ^3+4 = 3^7

3^9 ÷3² = 3^9-2 = 3^7

2) (3^2)^2 = 3^2×2 =3^4

3) 1/3^-5 = 3^5                 \

3^-7 =1/3^7

2^0 = 1

8 0
2 years ago
Point A is at (-5, -4) and point M is at (0, -3.5).
ludmilkaskok [199]

Answer:

The coordinates of point B are (5,-3)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

In this problem

Point A is at (-5, -4) and point M is at (0, -3.5)

point\ A=(x_1,y_1)\\point\ B=(x_2,y_2)\\point\ M=(0,-3.5)

substitute in the formula

(0,-3.5)=(\frac{-5+x_2}{2},\frac{-4+y_2}{2})

so

Solve for x_2

0=\frac{-5+x2}{2}\\x_2=5

Solve for y_2

-3.5=\frac{-4+y_2}{2}\\-7=-4+y_2\\y_2=-3

therefore

The coordinates of point B are (5,-3)

7 0
3 years ago
Read 2 more answers
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