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2 years ago

What are the original dimensions of the square piece of paper?

Mathematics

1 answer:

Inga [223]2 years ago

4 0

Answer:

6root2 × 6root2

you have to use pythagoras

a²+b²=c²

c=12

12²=144

a²+b²=144

but it is a square so I'll just change a and b to x because it shows they are equal

x²+x²=144

2x²=144

x²=72

x=6root2

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Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f(x).

Leto [7]

Answer:

the answer for g is -3 that is all I know

4 0

2 years ago

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Evaluate 2^2⋅4^3= Your answer

ivanzaharov [21]

Answer:

256

Step-by-step explanation:

First, handle the exponent:

2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)

Now multiply those two outcomes:

4*64=256

This equation is also known as 4⁴

6 0

3 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

3 years ago

Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4

SVEN [57.7K]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Given

x² + x

To complete the square

add ( half the coefficient of the x- term )² to x² + x

x² + 2( $\frac{1}{2}$ )x + ( $\frac{1}{2}$ )² = x² + x + $\frac{1}{4}$

= (x + $\frac{1}{2}$ )² ← perfect square

3 0

3 years ago

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X^2 + bx + 49 is a perfect squad trinomial what is one possible value of b?

ddd [48]

a perfect square trinomial, (x + y)² = x² + 2xy + y²

so, if we have the x of the bx, what is left is the b

the expression would have to be (x + 7)², since we have the 49 and the x²

so, what's left: x² + 14x + 49,

b = 14

hope it helps :)

7 0

3 years ago