A rectangle has a length of 5r - 6 and a width of 2r + 3. Find the area.

Answers

Answer 1

Answer:

[tex]10r^2+3r-18[/tex] sq. units

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width, so in this case:

[tex]A=(5r-6)(2r+3)[/tex]

We can solve this using the distributive property to expand the right side, and then combine like terms to simplify:

[tex](5r-6)(2r+3)=\\=2r(5r-6)+3(5r-6)\\=10r^2-12r+15r-18\\=10r^2+3r-18[/tex]


Related Questions

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest

Answers

Answer:

3/10

Step-by-step explanation:

2,3,5 are the primes on the spinner so P(prime) = 3/5

probability of 'not heads' means P(tails) which equals 1/2

multiply the two probabilities 3/5 · 1/2 = 3/10

There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride in one car, how many cars do they need?

Answers

they need 7 cars. hope this helps:)

a dream club charges $150 for the first month of membership, and $5 less each month after that. what is the total membership for a year? for 2 years?

Answers

Answer:

1 year 1470

2 years 2220

Step-by-step explanation:

Try it, it correct

Find one value of x that is a solution to the equation:
(3x-2)^2-4=9x-6

Answers

Answer:

x = 2, x = 1/3

Step-by-step explanation:

(3x-2)^2-4=9x-6

9x^2-12x=9x-6

9x^2-12x+6=9x

9x^2-21x+6=0

(then solve with quadratic formula)

x = 2, x = 1/3

Help me with this pls

Answers

Answer:

D. 60=(x+45)

Step-by-step explanation:

They are the same degree so they should equal eachother

Answer:

The answer should be D) 60 = (x + 45)

Step-by-step explanation:

Evaluate the function for x = 2 and x = 6.
f(x) = -(x - 2)
need help like asap

Answers

Answer:

zero and negative four

I hope that's what you meant I don't know

Step-by-step explanation:

f(x) = -(x - 2)

=-(2-2)

=0

f(x) = -(x - 2)

=-(6-2)

=-4

What is the answer to this

Answers

9514 1404 393

Answer:

  (c)  5

Step-by-step explanation:

Put 4 where x is and do the arithmetic.

  F(4) = 3·4 -7 = 12 -7

  F(4) = 5

Plz help i don't know what X is

Answers

Answer:

1,920

Step-by-step explanation:

A=L x W

so we have to multiply each number

24*8=192

192*10=1,920

Seven times the sum of a number and 3 is 9.​

Answers

Answer: -1.71

7(x+3) = 9 is the equation

7x+21 = 9

7x = -12

x= -12/7

x= -1.71

what is the oblique asymptote of the function f(x)= (x^2 - 5x + 6)/(x - 4)

Answers

Answer:

[tex]f(x)=x-1[/tex]

Step-by-step explanation:

From the question we are told that

Function [tex]f(x)= \frac{(x^2 - 5x + 6)}{(x - 4)}[/tex]

Generally we divide the numerator by the denominator mathematically

  [tex]y=x-4\sqrt{x^2-5x+6}[/tex]

  [tex]y=x-1[/tex]

Therefore the asymptote is given as

[tex]f(x)=x-1[/tex],

PLEASE HELP
which mapping diagram does NOT represent function from x-y

Answers

Answer:

Diagram 1

Step-by-step explanation:

This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.

Diagram 1 I hope this helps

round the following to the nearest hundredth place 5.4976

Answers

Answer:

5.50

Step-by-step explanation:

the 7 tells the 9 to round up and that will make the 4 turn into a 5 so it would end up being 5.50

please help me
ZB
Round your answer to the nearest hundredth.
5
2
?
B

Answers

From the info
You would use the tan x=5/2
But u would take the inverse of tan or 1/tan
The tan^-1(5/2)
=21.80140
The angle of b would be 21.80

Hope it helps

How many edges does this shape have? 6 , 9 , 10 , 12​

Answers

If that’s a rectangular prism 12 edges

I'll give brainliest and five stars if you help me!

What is the solution of the quadratic equation 2x2 + 5x – 1 = 0? Solve by using the quadratic formula.

a. 5+√17 / 4

b. -5+√33 / 4

c. 5+√33 / 4

d. -5+√17 / 4

Answers

A.)))))))))))


- Harvard university professor

a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.

Answers

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  [tex]length\times width[/tex]

Area= [tex](3x+3)x<90[/tex]

[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]

Which of the following ordered triples is the solution to the system of equations?

2 x-y-z= -1
3 x + y - Z= 2
x + y -5 z= -8

A(1,1,2)
B(2,3,-5)
C(4,2,-6)
D(5,0,-2)

Answers

A. all of the answers are correct when you plug in these values

The solution of the linear equations will be (1, 1, 2). Then the correct option is A.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

2x - y - z = -1        ...1

3x + y - z = 2       ...2

x + y - 5z = -8      ...3

Add equations 1 and 2, then we have

5x - 2z = 1       ...4

Add equations 1 and 3, then we have

3x - 6z = -9     ...5

From equations 4 and 5, then we have

15x - 3x = 12

12x = 12

x = 1

From equation 4, then we have

5(1) - 2z = 1

2z = 4

z = 2

From equation 1, then we have

2(1) - y - 2 = -1

y = 1

The solution of the linear equations will be (1, 1, 2). Then the correct option is A.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

what is the value of the y-coordinate of the solution to the system of equations x-2y=1 and x +4y=7

Answers

The y-coordinate of the solution is 3.

On a blueprint, 1 inch = 5 feet. On the blueprint, the living room is 6.5 inches long. How long is the livining room
in real life?

Answers

Answer:

32.5 feet

Step-by-step explanation:

Since 1 inch = 5 feet, we can muliply the measure of the living room by 5 to get our answer.

6.5 x 5 = 32.5

32.5 feet for the blueprint

Ben deosites 4580 in an account that earns 6% apr compounded weekly. What is the ending balance after 2 years

Answers

Given:

Principal value = 4580

Rate of interest = 6% apr compounded weekly

To find:

The total amount after 2 years.

Solution:

The formula for amount is

[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

1 year = 52 week

n=52

Putting P=4580, r=6, n=52, t=2 in the above formula, we get

[tex]A=4580\left(1+\dfrac{6}{100(52)}\right)^{52\times 2}[/tex]

[tex]A=4580\left(1+\dfrac{6}{5200}\right)^{104}[/tex]

[tex]A=4580\left(1+\dfrac{3}{2600}\right)^{104}[/tex]

[tex]A=4580\left(\dfrac{2603}{2600}\right)^{104}[/tex]

On further simplification, we get

[tex]A=4580(1.1274188)[/tex]

[tex]A=5163.5781[/tex]

[tex]A\approx 5163.58[/tex]

Therefore, the ending balance after 2 years is 5163.58.

Graph the equation using the slope and y-intercept? y= -3x+5​

Answers

Answer:

Step-by-step explanation:

You need to graph 2 points then you have to draw a line through it.

The 2 points I used were (0,5) and (1,2). Then just draw a line.

Drag each label to the correct location on the table.


Find the areas of the figures.

triangle TUV
rectangle ABCD
rectangle PQRS
triangle EFG

Answers

Hey there! The answer to your problem is:

6 square units: rectangle PQRS, triangle TUV

8 square units: rectangle ABCD, triangle EFG

Answer:

what he said it right

Step-by-step explanation:

At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
buys 3 sodas and 4 snacks and spends $15. Set up the system of equation
(Write both equations separated by a comma)

Answers

Answer:

the soda's are one$

and the snacks are three$

2001 is the square number of
1007 is the square number of​

Answers

Answer:

2001 is the square number of

Exact Form: √2001

Decimal Form: 44.73253849…

1007 is the square number of​

Exact Form: √1007

Decimal Form: 31.73326330…

Step-by-step explanation:

Answer:

Square of 2001 is 44.73. Rounded to the nearest hundredth

Square of 1007 is 31.73. Rounded to the nearest hundredth

Neeed help asap!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

its on the half

Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?

Answers

Answer:

12/20

Step-by-step explanation:

Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?

The number of rolls that are whole wheat is calculated as:

3/5 × 20 bread rolls

= 12 wheat bread rolls

Hence, the other fraction thag represents the part of rolls that are whole wheat = 12 wheat bread rolls/20 bread rolls

= 12/20


Work out an expression, in terms of x, for the perimeter of the shape.
Simplify your answer.

Answers

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

Given 11 and 6, which of the following could not be the third side of the triangle?

Answers

Answer:

      Any, that is greater than 5 and less than 17

Step-by-step explanation:

Given three sides of triangle: a, b and c, and a<c and b<c, then the triangle exist only if  a+b>c

therefore:

if a = 11 and b = 6 and c = ??

then:  11 + 6 > c

            c < 17

if a = 6 and c = 11 and b = ?? {or b=6 and a=??}

then:  6 + b > 11  {subtract 6 from both sides}

            b > 5

help asap i’ll give brainliest if ur right

Answers

Answer:

it should be the second one and the forth one

Step-by-step explanation:

first and third are also correct are they not?

If Jacob earns 20$ per month but spends 10$ every 2 weeks. How much money does Jacob earn in 1 year?

Answers

He earns $120 in one year

Answer:

he earns 170996695212345678910

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