6 Equations of parallel and perpendicular lines VEB
The equation for line u can be written as y = -x + 1. Line v, which is perpendicular to line
u, includes the point (-3, 2). What is the equation of line v?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

The solution of the linear equation y = 2 · x - 4 is x = 2.

Linear equations are first order polynomials. In this problem we need to solve for x in a linear equation, this can be done by means of algebra properties. The complete procedure is shown below.

Step 1 - We find the find the following expression:

y = 2 · x - 4                              

Step 2 - We make y equal to zero and we use the symmetric property for equalities:

2 · x - 4 = 0                              

Step 3 - By compatibility with addition, existence of additive inverse, modulative, associative and commutative properties

2 · x = 4                                    

Step 4 - By compatibility with multiplication, existence of multiplicative inverse and modulative, associative and commutative properties we get the following result:

x = 2            

The solution of the linear equation is x = 2.

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Given:

The original selling price of 1 swimsuit = $44.95

The selling price of 1 marked down swimsuit = $16.90

Using the provided formula:

Where,

M is the markdown

S is the original selling price

N is the reduced price

Substituting we have:

Solving for N:

Hence, the reduced price is $28.05

Answer:

$28.05

Given that the price is $140 , and the tax rate is 7.5% (0.075 in decimal form)

we can find the amount in taxes by the product :

0.075 times 140

0.075 * 140 = 10.5

so $10.5 is the amount to be paid in taxes

Answer:

70

Step-by-step explanation:

Average = Sum/Number of tests

90 = Sum/3 tests

Sum = 270

85 = 270 + test/4 tests

340 = 270 + test

70

Any number raised to the power of zero equals 1, then

then, we need to substitute the value 10 in the variable s. It yields,

Then, the answer is

that is, 1 / 100.

Answer:

Yes, because if you divide the two numbers, you get a whole number which means it is. Also, since the last numbers are 56, 8 can go into 56 so yes.

Step-by-step explanation:

The height of the pole according to the attached image and parameters given is; 220 cm.

It follows from the task content that the height of the pole is to be determined from the parameters given.

From observation, the triangle formed by the situation is a right triangle.

Hence, the height of the pole can be determined by Pythagoras theorem; where, c² = a² + b².

Therefore, we have;

221² = 21² + p²

p² = 48,841 - 21²

p² = 48,400

p = √48,400

p = 220.

On this note, the height of the pole is; 220 cm.

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Notice that both fractions have the same denominator, therefore, we can simply add the numerators:

Adding like terms, we get:

Explanation:

The expression is given below as

Concept:

We will apply the bsolute rule below

By applying the concept, we will have

Hence,

The final answer is

The correlation could be positive, meaning both variables move in the same direction,

If it is negative, meaning that when one variable's value increases, the other variables' values decrease.

Since the correlation between the 2 variables is -16

Since -16 is a negative value

Then The answer should be

There is a weak negative association between variables

The strong negative correlation should be between 0 and -1

A square is all of these combined because each one could be a square, which means a square is each of these.

Answer:

A square is each of these because they may all be squares, hence a square is all of them.

Step-by-step explanation:

A standard deviation is a measure of how widely distributed the data is in relation to the mean. The critical value is z = 1.645 and the should sample at least 228.13638 small claims.

A standard deviation (or) is a measure of how widely distributed the data is in relation to the mean. A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation indicates that data is more spread out.

The square root of the average of all squared deviations is the standard deviation. A region defined by one standard deviation, or one sigma, plotted above or below the average value on that normal distribution curve would include 68 percent of all data points.

Explanation in detail:

We can calculate our ∝  level by subtracting 1 from the confidence interval and dividing it by 2. So:

[tex]$\alpha=\frac{1-0.99}{2}=0.05[/tex]

Now we must locate z in the Stable, as z has a p value of [tex]$1-\alpha$[/tex]

So z with a p value of 1-0.05=0.95 equals z=1.645, implying that the answer to question an is z=1.645.

Determine the margin of error M as follows:

[tex]M=z * \frac{\sigma}{\sqrt{n}}[/tex]

In which ∝ is the standard deviation of the people and n is the size of the sample.

b)

[tex]$16=1.645 \cdot \frac{146.91}{\sqrt{n}}[/tex]

Expand

[tex]$1.645 \cdot \frac{146.91}{\sqrt{n}}: \quad \frac{241.66695}{\sqrt{n}}$$$[/tex]

[tex]$16=\frac{241.66695}{\sqrt{n}}$$[/tex]

Square both sides:

[tex]$\quad 256=\frac{58402.91472 \ldots}{n}$[/tex]

[tex]$256=\frac{58402.91472 \ldots}{n}[/tex]

Solve

[tex]$256=\frac{58402.91472 \ldots}{n}: \quad n=228.13638 \ldots$[/tex]

Verify Solutions:  [tex]$n=228.13638 \ldots$[/tex] True

The solution is

n=228.13638...

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Using the simple interest formula, the rate of interest is 0.67%.

In the given question,

Elaina started a savings account with $3,000. The account earned $10 each month in interest over a 5-year period.

We have to find the interest rate.

The money that Elaina have in her account is $3000.

The interest that she earned = $10

The time period is 5 year,

We find the interest rate using he simple interest formula.

The formula of simple interest define by

I = P×R×T/100

where I is the interest.

P is principal amount.

R is rate of interest.

T is time period.

From the question, P = $3000, I = $10, T = 5

Now putting the value

10 = 3000×R×5/10

Simplifying

10 = 300×R×5

10 = 1500×R

Divide by 1500 on both side

10/1500 = 1500×R/1500

0.0067 = R

R = 0.0067

To express in percent we multiply and divide with 100.

R = 0.0067×100/100

R = 0.67%

Hence, the rate of interest is 0.67%.

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Answer:

A. 6

Step-by-step explanation:

Using the Pythagorean theorem which states that: Hypotenus² = Opposite² + Adjacent²

Where: hypotenus = 10, opposite = x, adjacent = 8

So:

[tex] {10}^{2} = {x}^{2} + {8}^{2} [/tex]

Solving for x

[tex]100 = {x}^{2} + 64[/tex]

Collect like terms to make x the subject of formula

[tex]100 - 64 = {x}^{2} →36 = {x}^{2} [/tex]

[tex]36 = {x}^{2} ⟹ {x}^{2} = 36[/tex]

square root both sides of the equation to find the value of x

[tex] \sqrt{ {x}^{2} } = \sqrt{36} →x = 6[/tex]

Therefore: Option A is correct

Given

-y+9x=0

Find

check if equation model direct variation

Explanation

Equations with direct variation has a general form of y=kx

Given Equation

-y+9x=0

y=9x

whick is in the form of y=kx

Hence this equation is in direct variation with k=9

Final Answer

This equation is in direct variation with k=9

We have to create a function that has at least one asymptote and one removable discontinuity (a "hole").

We then have to list the type of feature.

We can start with a function like y = 1/x. This function will have a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.

We can translate it one unit up and one unit to the right and write the equation as:

Then, the asymptotes will be x = 1 and y = 1. We have at least one asymptote for this function.

We can now add a removable discontinuity. This type of discontinuity is one that is present in the original equation but, when factorizing numerator and denominator, it can be cancelled. This happens when both the numerator and denominator have a common root: the rational function can be simplified, but the root is still present in the original expression.

We than can add a removable discontinuity to the expression by multiplying both the numerator and denominator by a common factor, like (x-2). This will add a removable discontinuity at x = 2.

We can do it as:

This will have the same shape as y =x/(x-1) but with a hole at x = 2, as the function can not take a value that makes the denominator become 0, so it is not defined for x = 2.

Finally, we can find the x and y intercepts.

The y-intercepts happens when x = 0, so we can calculate it as:

The y-intercept is y = 0, with the function passing through the point (0,0).

As the x-intercept is the value of x when y = 0, we already know that the x-intercept is x = 0, as the function pass through (0,0).

Then, we can list the features as:

Asymptotes: Vertical asymptote at x = 1 and horizontal asymptote at y = 1.

Removable discontinuity: x = 2.

y-intercept: y = 0.

End behaviour: the function tends to y = 1 when x approaches infinity or minus infinity.

With that information, the function can be graphed.

if Sharel bought 5 phenes for 35 each, se spent 5 times 35 = $175

And when she found two $5 bills, it is like she received 2 times 5 = $10

Normally, expenses are negative numbers and earning are positive numbers, in this case

-$175 + $10 = - $165

Sothe answer is -165

Loan= $10.000

Bank options:

24-month payback 6% interest, with a monthly payment of $443.21/month

Then, Mark in option 1 will pay a total of:

36-month payback 6% interest, with a monthly payment of $304.22/month.

Mark in option 2 will pay a total of:

Then, Mark will pay a lower total amount of money if he selects option 1 (10.637.04 is less than 10,951.92), saving a total of:

Therefore, the statement that is NOT true is:

H. Mark will save $314.88 if he selects option 2.

We are given the information that Bailey reads 2 and a half books in 3 and a third weeks.

2 and a half books can be seen as 5/2 books, just as follows

On the other hand, 3 and a third weeks can be seen as 10/ weeks, just as follows:

Next, we just have to use a rule of three, its as follows: "if Bailey read 5/ books in 10/3 weeks, how many books does she reads per week?"

With that, we proceed with the division:

That means that Bailey reads 3/4 books per week

Answer:

[tex]y=x+5[/tex]

Step-by-step explanation:

[tex]3y-3x=15 \\ \\ y-x=5 \\ \\ y=x+5[/tex]

SOLUTION

Each of the circles has the same diameter: 41 meters.

If the diameter = 41 meters

Then the Radius =

Then we need to find the total area of the 4 circles =

CONCLUSION: The total area of all grass seeds needed to cover all 4 circles =

Answer:

2(6y+7)

Explanation:

To factor the expression:

First, find the greatest whole number that divides 12 and 14.

The number = 2, therefore:

Answer:

Coefficients are 6 and 4. The exponents are 3 and 1.

Step-by-step explanation:

The coefficient of a term is the number next to variable, the number that the variable is multiplied by.

Remember that if you are subtracting by a term, you are adding the "negative" term.

Meaning:

6x³ - 4x = 6x³ + (-4x)

The exponent of a term is the power (the little number on top). When the exponent (power) is not shown, it is just 1.

Meaning:

-4x = -4x¹

To transform a function 1 unit up, we add 1 outside of the function

h(x) = |x| +1

shifting it 4 units to the left, we will add 4 units from x inside

h(x) = |x+4| +1

The transformed function is

h(x) = |x+4| +1

Answer:

Yes your answer is right !

Step-by-step explanation:

steps

X= 3 and y = 7

Then 8-Y and so you replace y with 7 and so it becomes

So the correct answer is D (1)

Hope this helps

~~Wdfads~~

We will have the following:

So:

Then we will have that:

So, the width is 14 inches and the length will then be 17 inches.

ordinate is 1 greater than twice the abscissa :

On July 31, Oscar Jacobs checked out of the Sandy Beach hotel after spending four nights. The cost of the room was $76.90 per night. He wrote a check to pay for his four-night stay. What is the total amount of his check, expressed in words?

step 1

Multiply $76.90 by 4

76.90*4=$307.6

so

expressed in words is

An example of a fraction that has a quotient of 0.5 is 2/4.

A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio.

In mathematics, the quotient is the number that is produced when two integers are divided. It is essentially the outcome of the division procedure. In arithmetic division, four primary terms are used: divisor, dividend, quotient, and remainder.

In this case, 2/4 = 0.5. This is the quotient.

Note that the information is incomplete and.an overview was given.

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