You want to save up to buy a car. You currently have $500 saved and are going to work this summer cleaning house for your grandma. She will pay you $50 every time you clean her house. Write an equation for this situation. Make sure you define your variables. (How many times will you need to clean her house to have $4,500 for the car you want to buy?
I need answer by 2/25/2023

Answers

Answer 1

80 times, the house should be cleaned to buy the car.

Equation for the amount is y = 50t + 500

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Given,

Amount in the savings = $500

Amount to get the car = $4500

Grandma pays $50 for every time after cleaning

then, after t times, the amount will be

y = 50 t + 500

here, y is the total amount after working

t is number of times of cleaning the house

For $4500

4500 = 50t + 500

50t = 4500 - 500

50t = 4000

t = 4000/50

t = 80

Hence, we have to clean the house 80 times to have $4500.

equation for the amount is y = 50t + 500

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Related Questions

Sites like zillow get input about house prices from a database and provide nice summaries for readers. Write a program with two inputs, current price and last month's price (both integers). Then, output a summary listing the price, the change since last month, and the estimated monthly mortgage computed as (currentprice * 0. 051) / 12. End the last output with a newline.

Answers

By writing this program, you will gain a better understanding of how this process works and how databases are used in real-world applications.

Here you will write a program that takes two inputs: the current price of a house and the price of the same house from last month. These inputs should be integers. The program will then use these inputs to produce a summary of the house price information.

The first part of the summary will simply list the current price of the house. This information is stored in the database and is retrieved by the program when it starts.

The next part of the summary will be the change in the house price since last month. This information is also stored in the database and is calculated by subtracting the price from last month from the current price.

Finally, the program will output the estimated monthly mortgage payment for the house. This is calculated by multiplying the current price of the house by 0.051 and then dividing the result by 12. This information is also stored in the database and is retrieved by the program when it starts.

In conclusion, websites like Zillow use databases to gather and store information about house prices, and they use that information to create summaries for their readers.

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what does 40 oz mean in ml

Answers

Answer: 40 fluid ounces is approximately equal to 1182.94 milliliters.

Step-by-step explanation:

A fluid ounce (oz) is a unit of volume used in the United States and some other countries, while milliliters (ml) are used in the metric system. To convert ounces to milliliters, we can use the conversion factor of 29.5735 ml per fluid ounce.

So, 40 fluid ounces is equal to:

40 oz * 29.5735 ml/oz = 1182.94 ml

Therefore, 40 fluid ounces is approximately equal to 1182.94 milliliters.

What does mu X mean statistics?

Answers

Mu X is a statistical concept used to measure the difference between two means.

It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.

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0.4 = 0.167 + 0.2 v.. find the value of v?

Answers

Answer:

v = 1.165

Step-by-step explanation:

To find the value of v in the equation 0.4 = 0.167 + 0.2v, we can isolate v by subtracting 0.167 from both sides:0.4 - 0.167 = 0.2v0.233 = 0.2vNext, we can divide both sides by 0.2 to find the value of v:0.233 / 0.2 = 0.2v / 0.2v = 0.233 / 0.2v = 1.165So the value of v is 1.165.In conclusion, by subtracting 0.167 from both sides of the equation and dividing both sides by 0.2, we found that the value of v is 1.165.

Answer: The value of v that satisfies the equation 0.4 = 0.167 + 0.2v is 1.165.

Step-by-step explanation:

To find the value of v in the equation 0.4 = 0.167 + 0.2v, we can isolate v by subtracting 0.167 from both sides:

0.4 - 0.167 = 0.2v

0.233 = 0.2v

Next, we can divide both sides by 0.2 to solve for v:

0.233 / 0.2 = 0.2v / 0.2

v = 1.165

So, the value of v that satisfies the equation 0.4 = 0.167 + 0.2v is 1.165.

PQRS is parallelogram. If QX = 13, then QS =

Answers

The QS would be QS = PQ(1 + PQ/13)

What are the sides and angles of a parallelogram?

S = (n 2) 180°, where 'n' specifies the number of sides in the polygon, can also be used to determine this.

Since PQRS is a parallelogram, opposite sides are parallel and equal in length. Therefore, we can say that PQ = SR and QS = PR.

If QX = 13, then we can use the fact that PQRS is a parallelogram to find the length of QS. We can draw a line segment from Q that is parallel to SR, and call the point where this line segment intersects PS as Y. This forms two triangles, QXY and QSR, which are similar because they share an angle and have parallel sides.

By the properties of similar triangles, we can set up a proportion:

QY/QX = QS/SR

Since QY is the same as PS, we can substitute PQ + QY for PS:

(QX + PQ)/QX = QS/SR

Substituting the value of QX and recognizing that PQ = SR, we get:

(13 + PQ)/13 = QS/PQ

Simplifying this equation, we get:

1 + PQ/13 = QS/PQ

Multiplying both sides by PQ, we get:

PQ + (PQ^2/13) = QS

Since PQ = SR and PQRS is a parallelogram, we know that SR = PQ, so we can substitute PQ for SR:

QS = PQ + (PQ^2/13)

Simplifying further, we get:

QS = PQ(1 + PQ/13)

Therefore, The QS would be QS = PQ(1 + PQ/13)

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What is the domain and range of y=3√5x-2?

Answers

Refer to the attached image.

how many 1 2/3 foot pieces of ribbon can you cut from a pice of ribbon that is 35 feet long

Answers

The number of ribbons of length  [tex]1\frac{2}{3}[/tex]  that can be cut out of a piece of ribbon that is 35 ft long, is 21

What is division?

A division is a process of splitting a specific amount into equal parts.

Given that, a piece of ribbon that is 35 feet long, we need to find that how many [tex]1\frac{2}{3}[/tex] foot pieces of ribbon can you cut from it,

For this we will use the concept of division,

The number of ribbon cut from it = total length / small ribbons length

= 35 /  [tex]1\frac{2}{3}[/tex]

= 35 / 5÷3

= 35×3 / 5

= 21

Hence, the number of ribbons of length  [tex]1\frac{2}{3}[/tex]  that can be cut out of a piece of ribbon that is 35 ft long, is 21

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expand -4x(- 3y+5z)

Answers

Answer:

[tex]12xy-20xz[/tex]

Step-by-step explanation:

Please help me solve ASAP!

Answers

The probability of people in the survey who likes dogs is given by the equation P ( D ) = 26 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of people who likes dogs be represented as P ( D )

Now , the equation will be

The probability of people who likes cats P ( C ) = 4 %

The probability of people who likes cats and dogs = P ( C ∩ D ) = 63 %

The probability of people who likes dogs P ( D ) = 26 %

The probability of people who doesn't like cats or dogs 1 - P ( C∪D ) = 7 %

Therefore , the value of P ( D ) = 26%

Hence , probability of people in the survey who likes dogs is 26 %

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Triangle abc was dilated using the rule do,4. Triangle a'b'c' is the result of the dilation. What is ob'? 1. 5 units 3 units 4. 5 units 6 units.

Answers

If the length of OB was 3/4, then the length of OB' after dilation is; Option B: 3 units.

Dilation of an object simply means enlarging or shrinking the object by a scale factor.

We are told that Triangle ABC was dilated to Triangle A'B'C' using the rule D₀,₄. What this means is that it was enlarged by a scale factor of 4 with point O as the centre of dilation.

Now, if the length of OB is 3/4, it means that the new dilated length is gotten from;

                    Scale factor = new dilated length OB'/(3/4)

                    New dilated length OB' = (3/4) × 4

                    New dilated length OB' = 3 units

The question is incomplete. The complete question:

"Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation. Point O is the centre of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths. What is OB'?"

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If the volume of a cone is 18ft^3 and the radius measures 3 ft, what is the height?

Answers

The height of a cone is equal to 1.91 feet.

How to calculate the volume of a cone?

Mathematically, the volume of a cone can be calculated by using this formula:

Volume of a cone, V = 1/3 × πr²h

h represents the height.r represents the radius.

Making "h" the subject of formula, we have:

Height, h =3V/(πr²)

Substituting the given parameters into the height of a cone formula, we have;

Height, h =3(18)/(3.142 × 3²)

Height, h = 54/(28.278)

Height, h = 1.91 feet.

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Let f(x)=sin(x) + 2 cos(x). Find the slope-intercept equation of the line tangent to the graph of y = f(x) at the point on the graph where x = 0. The equation of the tangent line is (write your answer in the form y =mx+b):​

Answers

Answer:

Step-by-step explanation:

The first step is to find the slope of the tangent line. To do that, we need to find the derivative of f(x):

f(x) = sin(x) + 2cos(x)

f'(x) = cos(x) - 2sin(x)

Now we can find the slope of the tangent line at x=0 by plugging in x=0 into f'(x):

f'(0) = cos(0) - 2sin(0) = 1

Therefore, the slope of the tangent line at x=0 is 1.

Next, we need to find the y-coordinate of the point on the graph where x=0. To do that, we simply plug in x=0 into f(x):

f(0) = sin(0) + 2cos(0) = 2

Therefore, the point on the graph where x=0 is (0, 2).

Now we can use the point-slope form of the equation of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line. Plugging in m=1 and (x1, y1) = (0, 2), we get:

y - 2 = 1(x - 0)

Simplifying, we get:

y = x + 2

Therefore, the equation of the tangent line is y = x + 2.

Answer:

The equation of the tangent line at x = 0 can be found by differentiating the function f(x) and using the point-slope form of a line.

The derivative of f(x) is f'(x) = cos(x) - 2sin(x). Substituting x = 0 into f'(x) gives f'(0) = cos(0) - 2sin(0) = 1 - 0 = 1.

Therefore, the equation of the tangent line is y = 1x + b, or y = x + b.

To find the value of b, we can plug in x = 0 and y = f(0) = sin(0) + 2cos(0) = 2 into the equation. Solving for b, we get 2 = 0 + b, so b = 2.

Therefore, the slope-intercept equation of the line tangent to the graph of y = f(x) at the point (0,2) is y = x + 2.

Write a world description to fit the expresion -50÷5

Answers

The required description of the expression -50 ÷ 5 is It can be described as dividing -50 by 5 to find the quotient.

What is a number system?

A number system is described as a technique of composing to represent digits.

The expression -50 ÷ 5 represents a mathematical calculation. It can be described as dividing -50 by 5 to find the quotient. In this case, the result of the calculation would be -10.

This expression could be used in various scenarios, such as in finance to calculate the cost of an item, in science to determine measurements, or in everyday life to divide a quantity into equal parts. However, without additional context, it's difficult to provide a complete description of the world that fits this expression.

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Find the value of each variable show proofs

Answers

From trigonometric ratios, the value of x and y are 11 [tex]\sqrt{3}[/tex] and 11, respectively.

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: (hypotenuse)²= (leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x) ,  cos  (x) and tan  (x) , where:

sin (x) =[tex]\frac{opposite\ leg}{hypotenuse}[/tex]

cos(x)=[tex]\frac{adjacent\ leg}{hypotenuse}[/tex]

tan (x) = [tex]\frac{sin (x)}{cos(s)}= \frac{opposite\ leg}{adjacent\ leg}[/tex]

Therefore, for finding x you can apply the trigonometric ratio sin (x). See below:

sin (60) =[tex]\frac{opposite\ leg}{hypotenuse}=\frac{x}{22}[/tex], knowing that  sin (60)=[tex]\frac{\sqrt{3} }{2}[/tex] you have

[tex]\frac{\sqrt{3} }{2}=\frac{x}{22} \\ \\ 2x=22\sqrt{3} \\ \\ x=11\sqrt{3}[/tex]

For finding y you can apply the trigonometric ratio tan (x). See below:

tan (60) =[tex]\frac{opposite\ leg}{adjacent\ leg}=\frac{x}{y}[/tex], knowing that  tan (60)=[tex]\sqrt{3}[/tex] and x=[tex]11\sqrt{3}[/tex], you have

[tex]\sqrt{3} =\frac{x}{y} \\ \\ \sqrt{3} =\frac{11\sqrt{3} }{y}\\ \\ y\sqrt{3} =11\sqrt{3} \\ \\ y=11[/tex]

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Mr. Burns takes a one-day trip and rents a car using the rates shown. The car rental cost is $68.25
.

A tablet shows Ray's Car Rental rates. All cars are thirty-five dollars per day plus seven cents per mile.

Write and solve an equation to find how many miles, m
, he traveled.

Enter the correct answers in the boxes.

Answers

The equation that represents the number of miles will be 68.25 = 35 + 0.07m. Then the number of miles will be 475 miles.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the gradient of the line and c is the y-intercept of the line.

Let 'm' be the number of miles. Then the equation is given as,

$68.25 = $35 + 0.07m

Solve the equation for 'm', then we have

68.25 = 35 + 0.07m

33.25 = 0.07m

m = 33.25 / 0.07

m = 475 miles

The equation that represents the number of miles will be 68.25 = 35 + 0.07m. Then the number of miles will be 475 miles.

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Write a polynomial function f of least degree that has a
leading coefficient of 1 and the given zeros. Write the
function in standard form.
Given zeros: -6,0,3-square root of 5

Answers

The least polynomial that contains the roots - 6, 0, 3 - √5 is equal to y = x⁴ - 5 · x³  - 2 · x² + 4 · x.

How to derive a polynomial function

In this problem we must determine a polynomial function that contains the following roots: - 6, 0, 3 - √5. By quadratic formula we understand the quadratic polynomial may contain two roots of this kind: x₁ = α + β and x₂ = α - β. Therefore, the complete set of roots of the least polynomial is:

x₁ = - 6, x₂ = 0, x₃ = 3 - √5, x₄ = 3 + √5

And the factor form of the least polynomial is:

y = (x + 6) · x · (x - 3 + √5) · (x - 3 - √5)

y = (x² + x) · [(x - 3)² - 5]

y = (x² + x) · (x² - 6 · x + 4)

y = x⁴ + x³ - 6 · x³ - 6 · x² + 4 · x² + 4 · x

y = x⁴ - 5 · x³  - 2 · x² + 4 · x

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it Is Impossible To Get 8 Aces When Selecting Cards From A Shuffled Deck. Express The Indicated Degree Of Likelihood As A Probability Value Between 0 And 1 Inclusive. The Probability Is (Type An Integer Or A Decimal.)

Answers

It is impossible to get 8 aces from a standard 52 cards deck.

What is probability and its formula?

The formula for probability states that the possibility of an event happening, or P(E), equals the ratio of the number of favorable outcomes to the number of total outcomes. Mathematically, it looks like this: P(E) = favorable outcomes/total outcomes.

Now, According to the question:

There are four aces in total in a 52 card deck.

Therefore the probability of getting 8 aces can be expressed as:

P(8A) = 7/52 × 6/51 × 5/50 × 4/49 × 3/48 × 2/47 × 1/46 × 0/45 = 0

The probability getting is zero.

Therefore, it is impossible to get 8 aces from a standard 52 cards deck.

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y = -x + 2
y = -x + 2
graph

Answers

The graph of the slope-intercept form y = -x + 2 is a linear graph with the slope = -1, and the y-intercept = 2

What is the graph of a slope-intercept form?

The slope intercept form is an approach for figuring out the straight line of a linear equation on the coordinate plane. We need to have the slope of the line and the y-intercept where the line crosses the y-axis in order to use the slope-intercept formula.

The slope-intercept form can be expressed by using the formula:

y = mx + b;

where,

m = slope and,b = y-intercept

Given that:
y = -x + 2

The graph of the linear equation  (y) means that the slope = - 1, and the y-intercept = 2.

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Does someone know the answer?

Answers

The hypotenuse of the right triangle has a length of 19.24 cm.

How to find the length of the hypotenuse?

For a right triangle whose catheti are A and B, and the hypotenuse is C, then the Pythagorean's theorem says that:

A^2 + B^2 = C^2

The lengths of the legs are:

A = 9cm

B = 17cm

Then the length of the hypoten use is given by:

(9cm)^2 + (17cm)^2 = C^2

√((9cm)^2 + (17cm)^2) = C

19.24 cm = C

The length of the hypotenuse is 19.24 cm.

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Today, the price of a new cellphone is $380. In 2010,
the price of a similar cellphone was $240. What is the
percent of change in the price of a cellphone from 2010
to today? Round your answer to the nearest tenths.

Answers

The percent change in the price of cellphone from 2010 to today is 58.3%

How to calculate the percent change in the price of cellphone?

The price of a cellphone today is $380

In 2010, the price of a similar cellphone was $240

The percent change can be calculated as follows

380-240/240 × 100

= 140/240 × 100

= 0.583 × 100

= 58.3

Hence the percent of change in the price of a cellphone from today is 58.3%

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HELP ASAP, WILL GIVE FIRST ANSWER BRAINLIEST,

Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 60 rolls. The table shows the frequency of each number rolled.


Outcome 1 2 3 4 5 6
Frequency 8 11 6 14 9 12


Based on the table, what is the experimental probability that the number rolled was odd?

1 over 2

5 over 12

23 over 60

37 over 60

Answers

Answer:

[tex]\textsf{C)} \quad \dfrac{23}{60}[/tex]

Step-by-step explanation:

The odd number outcomes are 1, 3 and 5.

The probability for rolling each of the odd numbers is the frequency of the outcome divided by the total number of rolls.

[tex]\implies \sf P(x=1)=\dfrac{8}{60}[/tex]

[tex]\implies \sf P(x=3)=\dfrac{6}{60}[/tex]

[tex]\implies \sf P(x=5)=\dfrac{9}{60}[/tex]

Therefore, the experimental probability that the number rolled was odd is:

[tex]\begin{aligned}\sf P(x\;is\;odd)&=\sf P(x=1)\;or\;P(x=3)\;or\;P(x=5)\\\\&=\sf \dfrac{8}{60}+\dfrac{6}{60}+\dfrac{9}{60}\\\\&=\sf \dfrac{8+6+9}{60}\\\\&=\sf \dfrac{23}{60}\end{aligned}[/tex]

Chase decided to go to a cat home after school.
If he can make 5 servings of cat food from a third of a kilogram of food, how much does one serving weigh?

Answers

Answer:

Step-by-step explanation:the answer is 0.14 pounds

PLS HELP!!!!
Chris walks into a store to buy a mouse and a mousepad. He is standing
at the cash register when he realizes he is $1.20 short on cash. The
mouse costs 95% of the amount of his money, and the mousepad costs
15% of the amount of his money. How much does the mouse cost, and
how much does the mousepad cost?

Answers

Answer:

24%

Step-by-step explanation:

It’s easy all u have to do is add the 95% and 15%

And when u get the answer u add it with 1.10$ and boom u subtract the number and u get 24%.

Answer: $1.80 and $11.40

Step-by-step explanation:

We know that Chris was short on cash by $1.20, but we need to create an equivalent percentage.

95% + 15% = 110% (how much does it cost)

110% - 110% (how much he had) = 10% (amount short) = $1.20

10% = $1.20

100% (how much he had) = $12.00

Mouse = 95% of $12.00 (how much he had) = $11.40

Mouse pad = 15% of $12.00 (how much he had) = $1.80

Check your work:

$1.80 (Mouse pad) + $11.40 (Mouse) = $13.20

$13.20 - $12.00 = $1.20 (amount short)

We were correct!

Final Answer: $1.80 and $11.40

Which is the simplified form of the expression 3(7/5x + 4) - 2(3/2 - 5/4x)

Answers

Answer:

B

Step-by-step explanation:

It is B because:

21/5x+12-3+5/2x

21/5x+9+5/2x

u then find the lowest common multiple being 10x

42/10x+25/10x+90x/10x

67/10x+9

PLEASE HELP ASAP!!!!!!!

Answers

Answer:

Step-by-step explanation:ok first you add 3 to 2 and the x is for times

-3(5x-10)= distributive property

Answers

Answer:

Step-by-step explanation:

-150

Answer: -15x + 30

Step-by-step explanation:

-3(5x) = -15x (positive x negative = negative)

-3(-10) = 30 (negative x (negative = positive)

(same symbols = positive)

(Different symbols = negative)

−3b+2.5=4 solve for b

Answers

Answer:

b = -0.5

Step-by-step explanation:

−3b + 2.5 = 4

-3b = 1.5

b = -0.5

Let's check

-3(-0.5) + 2.5 = 4

1.5 + 2.5 = 4

4 = 4

So, b = -0.5 is the correct answer.

Suppose that f is continuous, 5∫-2 f(x)dx=11 and 5∫-2 f(x)dx=14 Find the value of the integral 2∫5 f(x)dx

Answers

Answer:

C. 3

Step-by-step explanation:

One of the (many) properties of definite integrals is
[tex]\mbox{\large \int\limits _{a}^{b}f(x)\,dx + \int\limits _{b}^{c}f(x)\,dx = \int\limits }_{a}^{c}f(x)\,dx[/tex]

Therefore
[tex]\mbox{\large \int\limits _{-2}^{5}f(x)\,dx + \int\limits _{5}^{2}f(x)\,dx = \int\limits }_{-2}^{2}f(x)\,dx[/tex]

Given

[tex]\mbox{\large \int\limits _{-2}^{5}f(x)\,dx = 11}}}\para[/tex]

and

[tex]\mbox{\large \int\limits _{-2}^{2}f(x)\,dx = 14}}[/tex]

We get

[tex]\mbox{\large 11+ \int\limits _{5}^{2}f(x)\,dx} = 14[/tex]


Subtracting 11 from both sides we get

[tex]\mbox{\large \int\limits _{5}^{2}f(x)\,dx} = 14 - 11 = 3\\[/tex]

Answer: Choice C which is 3

Find an equation of the line that satisfies the given conditions. Through (-9, -11); perpendicular to the line passing through (-6, 1) and (-2, -1)
Find an equation of the line that satisfies the given conditions.
Through (−9, −11); perpendicular to the line passing through (−6, 1) and (−2, −1)

Answers

An equation of the line that satisfies the given conditions is x = 2y + 13.

To find the equation of the line that passes through the point (-9, -11) and is perpendicular to the line passing through (-6, 1) and (-2, -1), we can use the slope-point form of a line.

First, we find the slope of the line passing through (-6, 1) and (-2, -1). The slope of this line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the values, we have:

m = (-1 - 1) / (-2 - (-6)) = -2 / 4 = -1/2

The slope of a line perpendicular to this line has a negative reciprocal, so the slope of the line through (-9, -11) that is perpendicular to this line is 1/2.

Next, we use the point-slope form of a line to find the equation of the line:

y - y1 = m (x - x1)

where (x1, y1) is a point on the line and m is the slope.

Plugging in the values, we have:

y - (-11) = 1/2 (x - (-9))

Expanding and simplifying, we get:

y + 11 = 1/2 (x + 9)

Multiplying both sides by 2, we get:

2y + 22 = x + 9

Subtracting 9 from both sides, we get:

2y + 13 = x

So, the equation of the line that satisfies the given conditions is:

x = 2y + 13

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MONUMENTS Susan is designing a pyramidal stone
monument for a local park. The design specifications tell
her that the width of the base must be 5 feet less than the
length and there must be 2 feet of space on each side of the
pyramid. The expression x² + 3x-4 represents the area that
the pyramidal stone monument will require.
a. Factor the expression that represents the area that the
pyramidal stone monument will require.
b. What does x represent?

Answers

The factor of the expression x² + 3x - 4 will be (x + 4) and (x - 1). And the variable 'x' represents the length of the rectangle.

What is the area of the rectangle?

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

Let 'x' be the length of the rectangle. Then the width will be (x - 5). Then the factors of the expression is given as,

A = x² + 3x - 4

A = x² + 4x - x - 4

A = x(x + 4) - 1(x + 4)

A = (x + 4) · (x - 1)

The factors of the expression x² + 3x - 4 will be (x + 4) and (x - 1). And the variable 'x' represents the length of the rectangle.

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