Solve the equation for all values of x by completing the square<br><br>x²+67=18x

The point D(-4, 4) is reflected over the x-axis. What are the

madreJ [45]

It’s would be B because the formula or reflection is y-axis is (-x,y) and x-axis (x,-y)

8 0

3 years ago

What addition doubles fact can help you find 4+ 3? Explain how you know

astraxan [27]

7 because if u add 4 and 3 that's what u end up with

5 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:

a.

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.

b.

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.

c.

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

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.

d.

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.

e.

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

What is the percent of the figure is shaded?

Oxana [17]

Answer:

7/10 is shaded

so 7/10×100= 70%

7 0

3 years ago

Read 2 more answers

What is 3/4 doubled? Is it 6/8 or 1 2/4?

Amanda [17]

Answer:

1 2/4

Step-by-step explanation:

3/4 doubled is $2(\frac{3}{4} )=\frac{3}{2}$

Now, $\frac{6}{8} =\frac{3}{4}$ on simplification.

$1 \frac{2}{4} =\frac{6}{4} =\frac{3}{2}$

Therefore,

3/4 doubled is 1 2/4

6 0

3 years ago

Solve the equation for all values of x by completing the squarex²+67=18x​

Solve the equation for all values of x by completing the squarex²+67=18x