Can someone help me with this?

Answer:

[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]

The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The area of a rectangle is given by the formula:

A = l × w, where l is the length and w is the width.

In this case,

The length is 2x + 7 and the width is 3x - 4.

Therefore, the area of the rectangle is:

[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]

Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.

Learn more about algebraic Expression here:

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Answer:

1/4 or 5/20

Step-by-step explanation:

You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.

Answer:

Fahad is taller with 31 centimeters

Step-by-step explanation:

1090mm=109cm

Fahad is taller than Fareed by 31 centimeters.

1090 mm = 109 cm

140 cm - 109 cm = 31 cm

Hope this helps; please mark brainliest!

Have an amazing day!

Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

So you take 7x-92+6x+12=180

And then you get x=20

Plug in 20 for x for <LOM

And you get and you get 48

Hope this helped!!

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2:  3.5

Steps

σ2 = Σ(xi - μ)2

N  =   (6 - 3)2 + ... + (1 - 3)2

4 = 14

4  = 3.5

σ = √3.5

= 1.870828693387

Answer:

180 degrees - 101 degrees - 65 degrees = 14 degrees

Answer:

:D

Step-by-step explanation:

if the parent function, y=f(x) has a number added (y=f(x)+4) the graph will be translated up. If the parent function has a number subtracted, y=f(x)-4, the graph will be translated down. The image explains more simply, and there are more possible translations (shown in image)

Answer:

89^2π

Step-by-step explanation:

Using the formulas

A=4πR2

D=2r

Solving for A

A=πD2=π·89^2≈24884.55541

Answer:

1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.

2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.  

Step-by-step explanation:

Answer:

1) Sometimes

2) Never

Step-by-step explanation:

1) you could have two angles add up to 180 degrees and one of them could be less than 90

example, x = 140° and y = 40°

2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles

Answer:

Step-by-step explanation:

we need to make two rectangles.  

one that is 13.1 Km  X  (9.3-4.2) Km

13.1 * 5.1 = 66.81

the next box is 4.2 X (13.1-8.1)

4.2*5 = 21

area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]

Answer:

[tex] Total \:area\approx 290.5\: ft^2 [/tex]

Step-by-step explanation:

Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]

(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])

[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]

[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]

[tex]\therefore Total \:area=1.57(121 + 64) [/tex]

[tex]\therefore Total \:area=1.57(185) [/tex]

[tex]\therefore Total \:area=290.45\: ft^2 [/tex]

[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]

Answer:

C. Multiply 1st equation by 3, then add together

Step-by-step explanation:

X+y=10

3(x+y)=3(10)multiply by 3

3x+3y=30 add to following equation

2x-3y=6

5x=36

Answer:

{x,y} = {-5,-2}

Step-by-step explanation:

Answer:

26 meters

Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.

Answer:

[tex]26[/tex]

Step-by-step explanation:

perimeter= AB + BC + CE + DE + AD

AB= DE = 7

BC = 5

EC= 3

DE = 7

AD = 4

So, perimeter = 7+ 5+ 3+ 7+ 4

→ 12+ 10 +4

→ 24+ 4

→26

So, 26 is your answer

[tex]----------[/tex]

hope it helps..

have a great day!!

Answer:

I searched it up and took a screenshot

Step-by-step explanation:

Here they are:

Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8​.

Hope this helps! : )

Answer:

x=-1

Step-by-step explanation:

Answer:

10x = 2x -8

-2x -2x

8x = -8

divide by 8

x = -1

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

[tex]\huge\mathcal\pink{Answer}[/tex]

radius r = 10 m

volume V = 4188.7902 m3

surface area A = 1256.63706 m2

circumference C = 62.8318531 m

In Terms of Pi π

volume V = 1333.33333 π m3

surface area A = 400 π m2

circumference C = 20 π m

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

Answer:  4

14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more

10+x=14

x=4

Answer:

Equation: 14 - j = 10

j = 4

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

G8ve me more info and Ill answer again

Answer: 1/3

Step-by-step explanation:

numbers more than 4 are: 5, and 6

so 2/6 chance of rolling a number greater than 4

in simplest form this is 1/3

Answer:

number 4 are t is greater

Answer:

33

Step-by-step explanation:

Answer:

setup below, you'll have to do the final calculation

Step-by-step explanation:

first perform the operation in parenthesis

2+39= 41

then do the multiplication 3 x 41

in general do calculations in this order

1. Parenthesis

2. Multiplication

3. Division

4. Addition

5. Subtraction

working from left to right

Answer:

336 cm²

Step-by-step explanation:

rectangle area:

b×h = 24×7,5=180 cm²

" " = 6,5×24=156 cm²

total area: 180+156=336 cm²