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3 years ago

12

Will Mark!! The length of a rectangle is represented by 7x- y, and the width is represented by 3x + 4y. Write polynomial that re

presents the perimeter of the rectangle

1 answer:

nikdorinn [45]3 years ago

7 0

Answer:

2(7x-y) + 2(3x+4y)

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PLZ ASWER ASAP!!!!!!!!!!!

geniusboy [140]

Answer:

f(x) = 6x² - 24x + 21

Step-by-step explanation:

The equation of a quadratic function in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 3 ) , then

f(x) = a(x - 2)² - 3

To find a substitute (1, 3 ) into the equation

3 = 1(1 - 2)² - 3

3 = a(- 1)² - 3

3 = a - 3 ( add 3 to both sides )

6 = a

f(x) = 6(x - 2)² - 3 ← in vertex form

= 6(x² - 4x + 4) - 3

= 6x² - 24x + 24 - 3

f(x) = 6x² - 24x + 21 ← in standard form

4 0

2 years ago

Which subject should u study first when there are loads of subjects?

il63 [147K]

Answer:

All that you can!

Step-by-step explanation:

Try studying all the subjects that you can because it will give you more information. Do Biology before chemistry, and Pre-calculus (if your school has it).

7 0

2 years ago

Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1.

jok3333 [9.3K]

Let's just choose "x" as our variable for the length of a side of the triangle.

Two sides of a triangle are equal in length and double the length of the shortest side.

A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x

The perimeter of the triangle is 35 inches. Perimeter is the sum of all sides.

x + 2x + 2x = 35

5x = 35

x = 7

So the smallest side is 7, and the other two sides are 14.

6 0

2 years ago

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

Naddika [18.5K]

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

3 0

2 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

2 years ago