find the equation of the line with slope −6 which goes through the point (−9,−6).

Give your answer in slope-intercept form y=mx+b.

The standard form of the equation for the circle is\((x - 4)^2 + (y - 3)^2 = 2.\)

To find the standard form of the equation for the circle, we need to determine the center and radius of the circle using the given information.

The center of the circle can be found by taking the average of the x-coordinates and the y-coordinates of points A and B.

Center:

x-coordinate = (3 + 5) / 2 = 4

y-coordinate = (2 + 4) / 2 = 3

The center of the circle is (4, 3).

Next, we need to find the radius of the circle.

The radius is the distance between the center of the circle and any point on its circumference.

In this case, we can use the distance formula between the center (4, 3) and point B (5, 4).

Radius:

\(r = \sqrt{((5 - 4)^2 + (4 - 3)^2)}\)

= \(\sqrt{(1 + 1)}\)

\(=\sqrt{(2)}\)

The radius of the circle is \(\sqrt{(2).}\)

Now we can write the standard form of the equation for the circle, which is:

\((x - h)^2 + (y - k)^2 = r^2\)

Plugging in the values we found:

\((x - 4)^2 + (y - 3)^2 = 2\)

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Answer:

928 in2

768 in2

464 in2

160 in2

In Equilateral triangle all sides are equal.

Step-by-step explanation:

Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.

Answer:

Leonardo was travelling: 1080 feet per min

Step-by-step explanation:

Since we know there are 60 seconds in a minute, we can just multiply 18 by 60 and get the answer as in the problem, it states that he is travelling 18 feet per second.

So the answer would be 18*60 or 1080 feet per minute.

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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Answer:

I believe that 15% of 34.95 would be 5.24

Step-by-step explanation:

Answer:

-8 °F is 8° below

Step-by-step explanation:

it's negative 8 so its 8 below

Answer: 22/20 or 1 1/10

Step-by-step explanation:

4 x 5 = 20, 3 x 4 12 2 x 5=10 12 + 10= 22

22/20 as the mixed number is 1 1/10

Answer:

Your exact answer would be \(\frac{11}{10}\)

Step-by-step explanation:

To add fractions, find the LCD and then combine.

\(\frac{2}{4} +\frac{3}{5} = \frac{11}{10}\)

in mixed number form : \(1\frac{1}{10}\)

Answer:

x=0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The slope of the line is -4 which represents the swimmer will complete 4 laps per minute.

In real world scenario it means how many laps they can complete per minute.

Let us consider the coordinate on the y-axis and the x-axis be ,

( x₁ , y₁ ) = ( 0, 24 )

( x₂ , y₂ ) = ( 6, 0)

The slope of a line represents the rate of change between two variables.

Here, the slope of the line represents the rate at which the number of laps remaining changes with respect to time.

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

         = ( 0 - 24 ) / ( 6 - 0 )

         = -4

Since the slope of the line is -4, this means that for every one minute that passes.

The swimmer completes 4 laps since the slope is negative, the number of laps remaining decreases as time increases.

So in this scenario, the slope of the line tells us that the swimmer is completing laps at a rate of 4 laps per minute.

And that they will finish the race after 6 minutes when they have completed all 24 laps.

Therefore, slope of line is -4 represents the swimmer's lap completion rate which means swimmer will complete 4 laps every minute.

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  Black American voters in the Southern states were routinely denied the right to vote during the post-reconstruction era in the United States.

     The white Southern Democrats made a conscious and concerted attempt to prevent African Americans from acquiring any form of political influence in the area and to maintain their political dominance. This article will look at the numerous strategies used by Southern states to deny Black Americans the right to vote, how they affected the political and social climate of the area, and the lasting effects of this practice.

Steps Against Disenfranchisement

Several barriers were put in place by southern states to keep African Americans from casting ballots. They included grandfather clauses, literacy assessments, and poll levies.

African People were frequently singled out for enforcement of the literacy tests, which had intentionally ambiguous and challenging questions. The grandfather clauses essentially allowed white voters to avoid the other enfranchisement measures by exempting anyone whose ancestors had been entitled to vote before the Civil War.

Influence on the political and social climate

These actions had a substantial effect. Black Americans were essentially excluded from the political system, which led to a long era of white Southern Democrats' political domination.

Due to their inability to participate in politics, African Americans where had little influence over the laws and regulations that governed their daily life.

Disenfranchisement's legacy

This era's influence can still be seen today. The disenfranchisement of African American voters had far-reaching effects that still influence American politics and society today.

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Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer:

Could be 12 or 16. Need more information

Step-by-step explanation:

Answer:

C-C-B-D

Step-by-step explanation:

Hope this helps and look out for people trying to take your points!

Answer: The answer would be 3/7.

Step-by-step explanation:

Answer:

23.04

Step-by-step explanation:

Answer:

23.04

I really hope you have really nice day and if you need any help whatsoever im here to help. Could i have brainleist/crown?

The addition using Least multiple, \(\frac{2}{8}+\frac{1}{2}\) is equal to \(\frac{3}{4}\).

When two or more fractions are there, the least common denominator is the lowest number among all the common multiples of the denominators.

To find the LCD of numbers, factorization method can be used and if the numbers are co-prime then the LCD is just the multiplication of those numbers.

The denominator of given fractions is 8 and 2.

Now, finding the lowest common multiple of 8 and 2,

LCD is 8,

Now, renaming the fraction by multiplying 4 on numerator and denominator of \(\frac{1}{2}\),

\(\frac{1 \times4}{2 \times4} =\frac{4}{8}\)

Now, denominator is same, so adding the fractions,

\(\frac{2}{8}+\frac{4}{8} =\frac{2+4}{8} \\\\=\frac{6}{8}\)

Dividing the numerator and denominator by 2,

\(\frac{6}{8} =\frac{6/2}{8/2}\\ =\frac{3}{4}\)

Therefore, by adding the given fractions we get \(\frac{3}{4}\).

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To find the leading term degree and coefficient we need to expand the function:

From this we conclude that the polynomial is of degree 5, that is the leading term has degree 5 and its coefficient is 192.

The graph of the function is:

From this we notice that:

The function increases in the intervals:

The function decreases in the interval:

Furthermore as the variable tends to minus infinity the function also tends to minus infinity; whereas as the variable tends to infinity the function tends to inifnity, that is:

Answer:

negative 2

Step-by-step explanation:

A graph of the coordinates of the vertices of the image after a dilation by the given scale factor and center of dilation is shown in the image below.

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 0.5 centered at the origin as follows:

Ordered pair J (-8, 0) → J' (-8 × 0.5, 0 × 0.5) = J' (-4, 0).

Ordered pair K (-4, 4) → K' (-4 × 0.5, 4 × 0.5) = K' (-2, 2).

Ordered pair L (-2, 0) → L' (-2 × 0.5, 0 × 0.5) = L' (-1, 0).

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 1/3 centered at the point B (3, 3) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A, B, and C, we have;

Coordinate A = (9, 9)  →  (1/3(9 - 3) + 3, 1/3(9 - 3) + 3) = (5, 5).

Coordinate B = (3, 3)  →  (1/3(3 - 3) + 3, 1/3(3 - 3) + 3) = (3, 3).

Coordinate C = (6, 0)  →  (1/3(6 - 3) + 3, 1/3(0 - 3) + 3) = (4, 2).

For coordinate D, E, and F, we have;

Coordinate D = (2, -2)  →  (1.5(2 - 4) + 3, 1.5(-2 + 2) + 3) = (0, 3).

Coordinate E = (4, -2)  →  (1.5(4 - 4) + 3, 1.5(-2 + 2) + 3) = (3, 3).

Coordinate F = (1, -4)  →  (1.5(1 - 4) + 3, 1.5(-4 + 2) + 3) = (-1.5, 0).

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The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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9514 1404 393

Answer:

  a.  $134,880.24

Step-by-step explanation:

Put the numbers into the formula and do the arithmetic.

  A = $65,000×e^(0.073×10) ≈ $134,880.24

_____

Additional comment

The doubling time for continuously compounded interest is 69.3 years divided by the interest rate in %. Here, that is 69.3/7.3 = 9.49 years. That means an investment of 10 years will be slightly more than double the original amount. 2×65,000 = 130,000, so choice A is in the right ballpark. The other numerical choices are not.

Part A:

Recall that the sum of the interior angles of a triangle is equal to 180°. Then we have the following

We can solve for ∠C, and ∠F using the information above

Part C:

Answer:

\(\frac{623}{8}\)

Step-by-step explanation:

\(\frac{78.875x1000}{1 x 1000} =\frac{77875}{1000}\)\(= \frac{623}{8}\)

Answer:

623/8

Step-by-step explanation:

steps to convert decimal into fraction

Write 77.875 as  

77.875

1

Multiply both numerator and denominator by 10 for every number after the decimal point

77.875 × 1000

1 × 1000

=  

77875

1000

Reducing the fraction gives

623

8

We know that,

each digit in a number has a place value. The place a number occupies in a number tells us its importance. The product of a number and the digit value it occupies gives the digit value.

What are some example location values?

Product Importance Image Results

A digit value can be defined as a value represented by a digit within a number given its position within the number. For example, the sevens digit value of 3,743 is 7000 or 700. However, the 7th digit value of 7,432 is 7,000 or 7,000.

tens

According to the question,

We find the value of tens

1. 4 tens ×8 =320

2.5×6 tens=30 tens =300

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Answer:

This is an equilateral angle meaning all of its angles are the same, therefore it is 60 degrees.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

By definition, if it is on the y-axis the x-coordinate is 0