Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)

Answers

Answer 1

Answer:

A = 3x² - x - 10

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width , then

A = (3x + 5)(x - 2)

each term in the second factor is multiplied by each term in the first factor.

A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis

   = 3x² - 6x + 5x - 10 ← collect like terms

   = 3x² - x - 10

Answer 2

Answer:

A = 3x² - x - 10

Step-by-step explanation:

A = length × width

A = (3x + 5)(x - 2)

A = 3x(x - 2) + 5(x - 2)

A = 3x² - 6x + 5x - 10

A = 3x² - x - 10


Related Questions

Find the missing length of the triangle.

Answers

Answer:

11 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]           (Pythagorean Theorem)

[tex]a^{2}[/tex] + [tex]4^{2}[/tex] = [tex](12\frac{1}{3})^{2}[/tex]  (square numbers)

[tex]a^{2}[/tex] + 16 = 152 [tex]\frac{1}{9}[/tex]  (subtract 16, both sides

[tex]a^{2}[/tex] = 136 [tex]\frac{1}{9}[/tex]        (square root both sides)

a = 11 [tex]\frac{2}{3}[/tex] or 11.66 repeating

Please help i am confused

Answers

Answer: (4)

Step-by-step explanation:

The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.

please guys help me if u answer it correctly I will brainlist u​

Answers

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3

Answers

Answer:

r = ⅙

⅙ × ⅙ = 0.03

0.03 × 3 = 0.09

Evaluate the expression 2bc for b = 1.5 and c = 5.

Answers

Answer:

15

Step-by-step explanation:

To answer this, simply input your values into the equation:

Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc

so, you would do 2x1.5x5

which is equal to 15

Answer: 15

Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15.

Which expression is equivalent to cosine (startfraction pi over 2 endfraction r) for all values of r?

Answers

The trigonometric expression cos (π/2 + r) is equivalent to the negative of sin r. Then the correct option is C.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The trigonometric expression is given below.

[tex]\cos (\dfrac{\pi}{2} + r)[/tex]

We know that the formula

[tex]\cos (\dfrac{\pi}{2} + r) = -\sin r[/tex]

Thus, the cos (π/2 + r) is equivalent to the negative of sin r.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

C?

Step-by-step explanation:

, someone confirm

PLEASE HELP!!! will give brainlisest

Answers

Answer:

[tex]\sf \dfrac{x}{8}-22[/tex]

Explanation:

[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]

remove parenthesis

[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]

expand

[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]

simplify

[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]

Answer:

[tex]\frac18x-22[/tex]

Step-by-step explanation:

Given expression:

[tex](\frac78x-4)-3(\frac14x+6)[/tex]

Expand:

[tex]\implies \frac78x-4-\frac34x-18[/tex]

Gather like terms:

[tex]\implies \frac78x-\frac34x-4-18[/tex]

Change 3/4 into eighths:

[tex]\implies \frac78x-\frac68x-4-18[/tex]

Combine like terms:

[tex]\implies \frac18x-22[/tex]

What is the measure of

Answers

Answer:

25

if j 25 L is going to be 25

Using your answer from #7, find the perimeter of the triangle.
Answer From #7: 9

Answers

Answer:

58

Step-by-step explanation:

x=9

3(9) + 1 + 4(9) -8 + (9) - 7 = 58

The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?

Answers

Answer:

197.92

Step-by-step explanation:

radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)

12² is 144 so 144Pi

9² is 81 (for the inner circle) so 81Pi

144 - 8 is 63Pi which in decimal form is 197.92.

i got the first part but cant figure out the second, help would be appreciated

Answers

Answer:

see explanation

Step-by-step explanation:

look at the explanation& answer photo

Use the function below to find f(-4).
fx) = 2^x

Answers

Answer:

1/16

Step-by-step explanation:

plug in -4 instead of the x.

if the exponent is negative it can be written as 1/2^4

so the answer is 1/16

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

I need help!!!!

The square below has the given side lengths. x is positive

Answers

Answer:

Value of X: X=2

Length of One Side: 31

Area: 961u^2

Perimeter: perimeter = 124

Step-by-step explanation:

Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.

Answer:

See below, please

Step-by-step explanation:

This square

[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]

[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex](x + 10) \times (x - 2) = 0[/tex]

Hence,

[tex]x1 = 2[/tex]

[tex]x2 = - 10[/tex]

Because x is positive, So,

[tex]x = 2[/tex]

Then we know

The length of one of the sides

[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]

The area of the square

[tex] = {31}^{2} = 961[/tex]

The perimeter of the square

[tex] = 31 \times 4 = 124[/tex]

Unit 4: Congruent Triangles Homework 2: Angles of Triangles

Answers

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

How to solve the triangle?

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

Learn more about triangles on:

https://brainly.com/question/17335144

You place some money in a savings account the savings account earns 2% simple interest. explain how you can find the interest earns after x years.

Answers

The formula of simple interest is A=prt.
Because of this, you can plug in what you know to find your total amount in your account.
Convert the interest rate to a decimal. 2%=0.02

Answer:
A=P*0.02*x
where
A=Total amount of money in account ($)
P=Amount of money invested ($)
x=Time (yrs)

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?

The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).

Answers

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation:

I got it right on Edge.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation it took the test

Please Help Will GIve Brainlest! Locks in 1 Hour!

Answers

Answer:

-3.274

Step-by-step explanation:

attached

Hopes this helps

{please mark me brainiest}

Please help simplify fractions

Answers

Answer:

this is easy the a sewer is 12

How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?

Answers

Answer:

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Answer:

Step-by-step explanation:

An example is a^2 - b^2.

Also 64 - 49   (as 64 are both perfect squares).

The way to factor is by using the identity:

a^2 - b^2 = (a - b)(a + b)      ( a + in one parentheses and - in the other)

Examples:

x^2 - 4y^2 = (x - 2y)(x + 2y)     [ x is the square root of x^2 and 2y is square root of 4y^2)

144 - 16 = (12 - 4)(12 + 4)

9x^2 - 36y^2 = (3x - 6y)(3x + 6y)

Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?

Answers

100-21= 79
711=79%
711/1=79/100
711/79=9
9x100=900

the trip was 900 miles all together. you can check if your answer is right by multiplying 900 by 0.79. If it comes out to 711, you are right.
Find attached the solution

Question is in the picture:

Answers

Answer:

its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a

Step-by-step explanation:

Answer:

A ) the Value of t is greater than 8

Step-by-step explanation:

6t>48

t>48/6

t>8

Find the area of the trapezoid

Answers

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2\\ a=3\\ b=9 \end{cases}\implies A=\cfrac{2(3+9)}{2}\implies A=12[/tex]

Each glass mug below has a radius of 2 inches and a height of 3.75 inches. If the mugs are
sold in sets of 4, find the total surface area of the mugs, not including
the handles.

Answers

Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs

Mensuration of Solids

Given Data

Radius r = 2 inchesHeight h = 3.75 inchesNumber of mugs = 4

Total surface area of cylinder = 2πr(r + h)

TSA of 1 mug = 2*3.142*2(2+3.75)

TSA of 1 mug = 12.568(5.75)

TSA of 1 mug = 72.266 square inches

if the total surface area of one mug is 72.266 square inches

hence the total surface area of 4 mugs will be

= 72.266*4

= 289.064 square inches

Learn more about cylinders here:

https://brainly.com/question/9554871

PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Hello!

[(4πr³)/3]/2

r = 7,5yd

[4 *3,14*7,5³/3]/2

=> 883, 125yds ³

4x + y = 10
7x + 2y = 17

Answers

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

Please Help I'm Confused.

Answers

Answer:

The last one

Step-by-step explanation:

Look at A and A'

It moved 4 units to the right and 1 unit down

The same with B, B' and C, C'

how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once

Answers

Answer:

57

Step-by-step explanation:

976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346

i need help with this

Answers

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!

Answers

Answer:

UM make a graph if you want so yea

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]

[tex]\\ \rm\rightarrowtail x=3,1[/tex]

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