1. The Wilson's have a rectangular backyard with a length of 3x-8 and a width of 8x+5. Theydecide to put in a pool. The rectangular pool will have a length of 4x-5 and a width of X+3.How much of the yard is still covered by grass after the installation of the pool?

Answers

Answer 1

Length of the pool: 4x + 5

Width of the pool: x + 3

Area of the pool: length*width = (4x + 5)(x + 3) = 4x*x + 4x*3 + 5*x + 5*3 = 4x² + 12x + 5x + 15 = 4x² + 17x + 15

Length of the backyard: 3x - 8

Width of the backyard: 8x + 5

Area of the backyard: length*width = (3x - 8)(8x + 5) = 3x*8x + 3x*5 - 8*8x - 8*5 = 24x² + 15x - 64x - 40 = 24x² - 49x - 40

Area still covered by grass: Area of the backyard - Area of the pool =

= 24x² - 49x - 40 - (4x² + 17x + 15 ) =

= 24x² - 4x² - 49x - 17x - 40 - 15 =

= 20x² - 66x - 55


Related Questions

HELP PLEASE DUE TODAY

HELP PLEASE DUE TODAY

Answers

Answer:It's a copy.

Step-by-step explanation:.Firgue B is 42 squares firgue A is 7 squares Divide by 6 and you get 7 for firgue B so it's a copy.

Hope you ace this assignment :D

what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?

Answers

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Evaluate the expression when =c24 and =d25. +dc4

Answers

The expression given is 3c + 5d and the expression when c = 24 and d =25 will be 197.

How to illustrate the expression?

It should be noted that an expression is simply used to illustrate the relationship between the variables.

In this case, the expression given is 3c + 5d.

Therefore, the expression given is 3c + 5d and the expression when c = 24 and d =25 will be:

= 3c + 5d

= 3(24) + 5(25)

= 72 + 125

= 197

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Complete question:

The expression given is 3c + 5d. Evaluate the expression when c = 24 and d =25.

Solve for the missing side length. Round to the nearest tenth.

5.8
5.2
5.4
5.6

Solve for the missing side length. Round to the nearest tenth.5.85.25.45.6

Answers

Answer:

C) 5.4

-------------------------

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)

The matching choice is C.

NEED HELP ASAP! I'll mark brainliest as well. Line l has the equation y=3x–4. Write the equation of the image of I after a dilation with a scale factor of 2, centered at the origin. Write your answer in slope-intercept form.

y =

Answers

Answer:

y=3x-8

Step-by-step explanation:

All you do is multiply the y-intercept which is -4 with the dilation of 2 which means multiply it by 2.

The dilated equation of a line by a factor of 2 is y = 3x - 4.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, line l has the equation y = 3x - 4.

We know when a line is dilated by a scale factor of k slope of that line remains the same only y-intercept b is multiplied by that scale factor k.

∴  y = 3x - 4 dilated by a scale factor of 2 is y = 3x - 8.

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Explain how you know 7(2 - 3n) and (2 - 3n) x 7 are equivalent expressions.​

Answers

Answer:

When you distribute the 7 to each set you get 14-21n and 14-21n

Step-by-step explanation:

A gym member tracked his weight. In the first week he gained 2 pounds. In the second week, he lost 5. In the third week, he lost 2 more. What was his overall change in weight?

Answers

He lost 5 pounds in the 3 weeks

If F(x) = x - 5 and G(x) = x2, what is G(F(x))?

Answers

Answer:Step-by-step explanation:

G(F(x))=(x - 5)²

-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5 3 2 -1 10 9 8 7 6 5 J 2 -8 -10 Submit Answer 3 4 5 16 7 8 O 10​

-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5

Answers

Answer:

  1/2

Step-by-step explanation:

The slope of a line is the ratio of "rise" to "run".

__

This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...

  slope = rise/run = 1/2

3. A local fast food restaurant takes in $9000 in a 4 hour period. Write a direct variation equation
for the relationship between income and number of hours. Estimate how many hours it would
take the restaurant to earn $20,250.

Answers

it would take about 9 hours

Using the conjugate zeros theorem to find all zeros of a polynomial

Using the conjugate zeros theorem to find all zeros of a polynomial

Answers

We know that 1+i is a root of the polynimial. This also implies that 1-i is also a root of the polynomial. In other words, the term

\((x-1+i)(x-1-i)\)

is a factor of our polynomial. This last expression can be written as

\((x-1+i)(x-1-i)=x^2-2x+2\)

so, in order to find the remaining zero, we can compute the following division of polynomials,

which gives

Therefore, the remaining root is x=1.

In summary, the answer is:

\(1+i,1-i,1\)

Using the conjugate zeros theorem to find all zeros of a polynomial
Using the conjugate zeros theorem to find all zeros of a polynomial

Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8

Find the quotient of z by z2. Express your answer intrigonometricform. - 3 (0 (4) + (*))Z cos+/sinZ2

Answers

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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I need this help me please

I need this help me please

Answers

Try asking your teacher's different methods!! Best of luck!

Select the statement that describes this expression: 8 + one half x (6 – 2) – 1.

Select the statement that describes this expression: 8 + one half x (6 2) 1.

Answers

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

I need help please Can you help me

I need help please Can you help me

Answers

The rate of the proportional relationship is k = 200 rows per minute.

How to find the rate of the proportional relation?

A proportional relationship between two variables x and y is written as:

y = k*x

Where k is the constant of proportionality or rate of change.

Using a pair of values of (x, y) and replacing them in the equation above, we can find the value of k.

The first point is (1, 200), replacing these values:

200 = k*1

200/1 = k

So Cole rows 200 meters per minute.

If we use the second point (2, 200) we will get the same rate:

400 = k*2

400/2 = k

200 = k

And so on if we use any point.

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PLZ HELP

A $250 TV is discounted by 25%. It was then discounted another 10% because
the box was opened by a customer. After both discounts are taken, what is the total
percent discount? (HINT: Use the SALES price from the last question)
A $250
anoth
custo
T
[]
LJ

PLZ HELPA $250 TV is discounted by 25%. It was then discounted another 10% becausethe box was opened

Answers

https://brainly.com/question/14448275

20 5 4 2 X 2.5 12 1.5 3​

20 5 4 2 X 2.5 12 1.5 3

Answers

Answer:

x = 10

Step-by-step explanation:

if two prisms are similar then the side lengths are proportional

2/4 = x/20 cross multiply expressions

40 = 4x divide both sides by 4

10 = x

Strawberries cost $3.00 per pound. For each question, explain or show your
reasoning.
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.00?


I need help

Answers

Step-by-step explanation:

1. its either 0 or 1/4 cause cause each pound is $3 and he had less then that.

2. 3 cause its either u count by 3 till u get to 11 or below it

The answers to both subparts using mathematical operations are shown:

(A) Strawberries at $1.00: 0.33 pounds(B)  Strawberries for $11.00: 3.67 pounds

What are mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value. The quantity of operands affects the operation's arity.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation. We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).

(A) Strawberries at $1.00:

1/30.33 pounds

Strawberries at $1.00: 0.33 pounds

(B)  Strawberries for $11.00:

11/33.67

Strawberries at $11.00: 3.67 pounds

Therefore, the answer to both subparts using mathematical operations are shown:

(A) Strawberries at $1.00: 0.33 pounds(B)  Strawberries for $11.00: 3.67 pounds

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3 pounds because strawberries cost $3.00 per pound.What is cost? A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.What connection exists between price and quality?Regardless matter whether the relationship is positive [higher costs are linked with higher quality] or negative [higher quality is associated with lower costs], the majority of research have concluded that the relationship between cost and quality is minimal to moderate.Given: Cost of Strawberries per pound = $3. 00a. How many pounds of strawberries can you buy for $1.00?Answer: 0 because the cost of per pound strawberries is $3.00So, he can not but any pound at $1.00but he can but 1/4 pound as the cost given b. How many pounds of strawberries can you buy for $11.00?Therefore, 3 pounds because strawberries cost $3.00 per pound.To learn more about : cost calculationRef: https://brainly.com/question/17215284#SPJ2

7+15×nine to the 2power​

7+15nine to the 2power

Answers

Answer:

\(1,222 \: is \: the \: correct \: answer\)

Quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4). Determine whether QRST is a trapezoid and if so, determine whether it is an isosceles trapezoid.

Quadrilateral QRST has vertices Q(1,0), R(2,2), S(5,0), T(1,4). Determine whether QRST is a trapezoid
Quadrilateral QRST has vertices Q(1,0), R(2,2), S(5,0), T(1,4). Determine whether QRST is a trapezoid

Answers

The quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

What is trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given that, a quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4).  

We need tof verify that it is a trapezoid or not, we will find slopes of each side,

Slope = y₂-y₁ / x₂-x₁

Slope QR = 2-0 / 2+1 = 2/3

Slope RS = 0-2 / 5-2 = -2/3

Slope ST = -4-0 / -1-5 = 2/3

Slope QT = -4/0 = not defined

QR ║ ST

Since, two slope are equal therefore, the quadrilateral QRST is a trapezoid

Finding the distance between QS and TR

QS = √(5+1)²+(0-0)² = 6 units

TR = √(-1-2)²+(-4-2)² = √9+36 = √45 = 6.70

Since, QS ≠ TR, it is not an isosceles trapezoid.

Hence, the quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

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Find the unknown side lengths in similar triangles PQR and ABC.
I need an explanation on how to get the answer

Find the unknown side lengths in similar triangles PQR and ABC.I need an explanation on how to get the

Answers

Answer:

a=18 b=24

Step-by-step explanation:

We know that BC=25 and QR=30, the key term is that they are similar triangles. Therefore, BC: QR=25:30=5:6. Then BA:A=5:6=15:X

x=a=18

20:b=5:6

b=24

If Betty has 5 blue marbles,3 red marbles and 1 yellow marble what is the chance sus is will pick a red marble

Answers

Answer:

33% or 1/3

Step-by-step explanation:

3 RED MARBELS/9 MARBLES=

3/9=

1/3=

33% chance of getting a red marble.

hope this helps, if not see me in the comments

HOPE THIS HELPS, BRAINLIEST PLZZZZ

Help with this, thank you

Help with this, thank you

Answers

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

What are perpendicular lines?

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

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Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS

SOMEONE HELP! PLEASE!

Provide the reasons for the following proof.The figure shows triangle W X Y with a segment X Z drawn

Answers

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

How to carry out a two column proof on a triangle?

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Which expression is equivalent to 3/2^3 HELP ASAP

Which expression is equivalent to 3/2^3 HELP ASAP

Answers

Answer:

3rd option

Step-by-step explanation:

One of our exponent rules tells us that \((\frac{x}{y} )^{z}\) =  \(\frac{x^{z} }{y^{z} }\). So, knowing that exponent rule, we know that it has to be the third option. But what if we didn't know that rule? Then how could we solve this?

We know that 3/2 = 1.5. Do some math and you can figure out that 1.5^3 is 3.375. If we were to evaluate expression number 3, we would get 27/8, which, if you were to further evaluate it, you would also get 3.375.

Let me know if you have any questions!

In how many ways can 3 students from a class of 23 be chosen for a field trip?aYour answer is:

Answers

SOLUTION:

This is a combination problem.

The number of ways 3 students from a class of 23 be chosen for a field trip is;

\(23C_3=\frac{23!}{(23-3)!3!}=1771\text{ }ways\)

In the figure below, which term best describes point T?

In the figure below, which term best describes point T?

Answers

Answer:

A

Step-by-step explanation:

A. 188.5in²
B. 94.25in²
C. 133.5in²
D. 149.25in²

A. 188.5inB. 94.25inC. 133.5inD. 149.25in

Answers

Answer:B

Step-by-step explanation:

area of triangle is (10*11)/2=55

area of semicircle is

\(d=2r\\r=10/2=5\\s=\pi r^{2} /2=25\pi /2=39.25\\39.25+55=94.25\)

Part B
Select check boxes in each row to identify the fertilizing method that would best work for each example.
A farm that has delicate
crops and has many
employees
UDP
Precision
management
A gardener growing
vegetables for a family
A company that grows corn
and distributes to 10 states

Answers

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 feet per day. Write an equation for the water level, L after d days.
In how many days will the water level be 26 feet

Answers

The linear function that represents the water level is L = -0.5d + 34 while the number of days will the water take to level 26 feet is 16 days.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

Initial water level = 34 feet

Rate of receding = 0.5 feet per day = -0.5

New level L = -0.5d + 34

For the level to be 26 feet,

26 = -0.5d + 34

0.5d = 34 - 26

d = 16 days

Hence "The equation L = -0.5d + 34, which represents the water level, states that it will take 16 days for the water to reach a level of 26 feet".

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Work out the fourth number PLEASE HURRY! 50 POINTS!!Read the excerpt from Exodus 15.When Pharaoh's horses came with his chariots and his horsemen into the sea, and the Lord brought the waters of the sea back upon them, and the children of Israel walked on dry land in the midst of the sea,Miriam, the prophetess, Aaron's sister, took a timbrel* in her hand, and all the women came out after her with timbrels and with dances.And Miriam called out to them, Sing to the Lord, for very exalted* is He; a horse and its rider He cast into the sea.Moses led Israel away from the Red Sea, and they went out into the desert of Shur; they walked for three days in the desert but did not find water.Exodus 15:1922* timbrel tambourine* exalted glorifiedWhat evidence shows that the Hebrews suffer when they leave Egypt?O "the Lord brought the waters of the sea back upon themO the children of Israel walked on dry land in the midst of the seaO Moses led Israel away from the Red SeaO they walked for three days in the desert but did not find water Which of the following steps of the market screening process involves the analysis of the quality of workforce, materials, and infrastructure?A) identification of basic appeal of a marketB) assessment of the national business environmentC) measurement of market or site potentialD) selection of the market or site What does MAS stand for?Motile Aeromonas Septicemia (MAS)Mobile Aquatic Septicemia (MAS)Motile Aquatic Sepsis (MAS)Mobile Aeromonas Sepsis (MAS) When the sun angle is low, the intensity of radiation arriving at the surface will be reduced becausethe radiation is spread out over a larger area when it hits obliquely and the longer path diagonally down through the atmosphere means more of the energy is prevented from reaching the surface.