Please help me i'm struggling!

We know that

\({\boxed{\sf Slope_{(m)}=\dfrac {y_2-y_1}{x_2-x_1}}}\)

\(\qquad\quad {:}\longrightarrow\tt m=\dfrac {3-2}{7-0}\)

\(\qquad\quad {:}\longrightarrow\tt m=\dfrac {1}{7}\)

\(\therefore \sf Slope\:of\:the\:line\:is\:\dfrac {1}{7}\)

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

Originally our equation looks like \(x^{2}\) + 2y

First, we want to substitute x = \(\frac{1}{2}\)  & y= 0 into the equation.

The equation now looks like \((\)\(\frac{1}{2}\)\()^{2}\) + 2 x 0

The brackets are added to the fraction as we are squaring the WHOLE fraction, and the 2y has a hidden multiplication sign, with it being 2 x y, so it is 2 x 0.

Now that we have our values substituted into the equation, we can solve it!

 \((\)\(\frac{1}{2}\)\()^{2}\) = \(\frac{1}{4}\)  

therefore,

\(\frac{1}{4}\)  + 2 x 0

= \(\frac{1}{4}\)

Answer: 7704

Step-by-step explanation:

( see image !)

Answer:

-2

Step-by-step explanation:

-3(2)+4

-6+4

-2

Answer:

1) 120

2) 24

Step-by-step explanation:

This is a problem involving permutations: the number of different ways you can arrange stuff

If there are n items, n! represents the permutation of n and is given by the formula : 1 x 2 x 3 x........x (n-1) x n also sometimes written in the form
n x (n-1) x (n-2) x........x 3 x 2 x 1

In this case there are 5 people. So the number of different ways they can stand in line is 5! = 5 x 4 x 3 x 2 x 1 = 120 ways  Answer to (1)

Answer to (2)
If Larry insists on being in the middle the other 4 have to arrange themselves around Larry in 4! ways = 4 x 3 x 2 x 1 = 24 ways

There is no definitive answer to the proportion of early-twenty-first-century men who finished school, left home, become financially independent, married, and had a child by age 30.

In terms of finishing school, in 2016, the U.S. Census Bureau estimated that 88.6% of males aged 25 and older were high school graduates, while 33.4% had attained a bachelor's degree or higher. As for financial independence, a 2019 report by the St. Louis Federal Reserve Bank found that the percentage of 25-year-olds who earned more than their parents did at the same age has declined since 1970.

In terms of marriage, a 2017 report by the Pew Research Center found that the median age for men getting married for the first time was 29, up from 23 in 1960. Finally, regarding fatherhood, a 2018 report by the National Center for Health Statistics found that the mean age of first-time fathers in the United States was 31.1. However, it is important to note that these statistics and studies do not provide a complete picture of the proportion of men who have accomplished all these factors by age 30.

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Answer:

-6n or -6*n

Step-by-step explanation:

product is multiplication

a number is n

-6*n can also be shown as -6n

To find the distance between two complex numbers, we use the formula:

|z2 - z1| = sqrt((Re(z2) - Re(z1))^2 + (Im(z2) - Im(z1))^2)

where Re(z) is the real part of z and Im(z) is the imaginary part of z.

Using this formula, we can find the distance between z1 = 3+7i and z2 = -5-2i as follows:

Re(z1) = 3, Im(z1) = 7

Re(z2) = -5, Im(z2) = -2

|z2 - z1| = sqrt((-5 - 3)^2 + (-2 - 7)^2)

= sqrt((-8)^2 + (-9)^2)

= sqrt(64 + 81)

= sqrt(145)

Therefore, the distance between z1 = 3+7i and z2 = -5-2i is sqrt(145).

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Answer:

3^18

Step-by-step explanation:

\((3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489\)

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\)

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

\(x^2+y^2+16x-14y+49=0\)

\(\implies x^2+16x+y^2-14y+49=0\)

\(\implies (x+8)^2-64+(y-7)^2-49+49=0\)

\(\implies (x+8)^2+(y-7)^2=64\)

Therefore:

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

Answer: x=9.5

Step-by-step explanation:

8x -32 = 44

+32         +32

8x = 76

/8       /8

x = 9.5

Answer:

x = 15

Step-by-step explanation:

<ABD is 1/2 of <ABC because BD is an angle bisector.

So if <ABD = 44, the ABC is double that.

<ABC = 88

8x - 32 = 88            Add 32 to both sides.

8x = 88 + 32           Combine the right

8x = 120                  Divide by 8.

8x/8 = 120/8

x = 15

1+b²+b⁴ ​can be resolved into factors (1+b²+b),(1+b²- b).

We will evaluate  1+b²+b⁴​ with the help of algebraic identities,

We can write 1+b²+b⁴ as,

1+b²+b⁴ = 1+(b)²+(b²)²

             = 1+(b)²+(b)²+(b²)²-b² (Adding and subtracting b²)

             = 1+2(b²)+(b²)²-(b)²

             = (1)²+2(b²)(1)+(b²)²- (b)²

Now using the identity (a + b)²= a²+b²+2ab, we have,

1+b²+b⁴ = (1+b²)²- (b)²

             = (1+b²+b)(1+b²- b)  [By using identity a²-b²= (a+b)(a-b)]

Therefore, the correct answer is  1+b²+b⁴​= (1+b²+b)(1+b²- b).

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3.5 square feet is equivalent to 504 square inches.

To find out how many square inches are in 3.5 square feet, we need to first determine the number of square inches in one square foot and then multiply that by 3.5.

Since there are 12 donuts in one dozen and each donut has a diameter of 3 inches, the diameter of a single donut is 3 inches. Therefore, the radius of a single donut is 1.5 inches (half the diameter).

To find the area of a single donut, we can use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius. Plugging in the values we get:

A = 7.0686 square inches (rounded to four decimal places)

Since there are 12 donuts in one dozen, the total area of all the donuts is:

12 donuts x 7.0686 square inches per donut = 84.8232 square inches

Now we need to determine the dimensions of the new box that can hold the donuts lying flat. Since the height of each donut is 1.5 inches, the height of the box needs to be at least 1.5 inches.

To find the length and width of the box, we need to arrange the donuts in a rectangular shape.

Since there are 12 donuts in one dozen, we can arrange them in a rectangle that is 4 donuts long and 3 donuts wide, as shown in the attached image.

The length of the box is therefore 4 x 3 inches = 12 inches, and the width is 3 x 3 inches = 9 inches. The area of the bottom of the box is:

12 inches x 9 inches = 108 square inches

Therefore, the total surface area of the new box is:

2 x 12 inches x 9 inches (sides of the box) + 12 inches x 1.5 inches (top and bottom of the box) = 270 square inches

To convert 3.5 square feet to square inches, we multiply by the conversion factor of 144 square inches per square foot:

3.5 square feet x 144 square inches per square foot = 504 square inches

Therefore, there are 504 square inches in 3.5 square feet.

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Answer:

SAS, because vertical angles are congruent.

The greatest possible integer value of the radius of the circle is 7 inches.

The area of a circle is given by the equation\($A = \pi r^2$\). We know that the area is less than \($60\pi$\) square inches, so the equation can be written as \($60\pi > \pi r^2$\). We can solve for the radius by dividing both sides by \($\pi$\), which gives us \($60 > r^2$\). Taking the square root of both sides gives us \($r < \sqrt{60}$\), which is approximately 7.74 inches. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.

To explain this further, we can start with the equation for the area of a circle, which is\($A = \pi r^2$\). Since the area is less than \($60\pi$\)square inches, this equation can be rewritten as\($60\pi > \pi r^2$\). We can then divide both sides by \($\pi$\) to get \($60 > r^2$\). Taking the square root of both sides gives us \($r < \sqrt{60}$\). This result can then be rounded down to the nearest integer, which is 7. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.

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Answer:

The answer is D

Answer:

The answer is D

Step-by-step explanation:

      Thus your answer would be D

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

The Correlation Strength shown by the 3 graphs are respectively; 5. No correlation; 2. Strong Positive Correlation and 4. Weak positive correlation

A graph is said to have positive correlation if the relationship between two variables move in tandem in the same direction.

No correlation is also termed as zero correlation which means there is no relationship between the two variables.

Now, the first graph shows that there is no correlation at all between the x-values and y-values. Thus, It has No correlation.

The second graph shows strong positive correlation as the relationship between the x and y values are almost perfect.

The third graph shows weak positive correlation as the relationship between the variables though positive are very weak.

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The perimeter of Rebekah's new mural is 9 meters.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

A rectangular mural measures 1 meter by 3 meters.

Rebekah creates a new mural that is 0.5 meters longer.

The perimeter of Rebekah's new mural,

= 2 (1.5 + 3)

= 9 meters.

Therefore, the perimeter is 9 meters.

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Answer:

9

Step-by-step explanation:

Data integration combines data collected from various platforms to increase its value for your company. It enables your staff to collaborate more effectively and provide more for your clients.So IT is important to integrate information.

The combining of data from diverse sources with various conceptual, contextual, and typographic representations is known as information integration. It is utilised for data aggregation and mining from unstructured or partially organised sources. You may connect all of your data, people, and processes in a single solution by using an integrated solution. Today's top HSEQ management teams regard this strategy as best practise. The justification for this is straightforward: it improves reporting, efficiency, uniformity, speed, and ease of use. An integrated report's main goal is to describe to financial capital providers how a company builds, protects, or loses value over time. As a result, it includes pertinent information, both financial and otherwise.

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Answer:

no solution

Step-by-step explanation:

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

1.4 estimated to the nearest tenth

The equation of the vectors are

35. y = (-1/2)x + 2

36. y = (1/2)x + 5/2

37. y = 2x + 3

38. y = (2/3)x - 52/3

Exercise 35:

P(2, 1)

v = i + 2j

To find the equation of the line passing through P and perpendicular to v, we need to determine the slope of the line. The slope of a line perpendicular to a vector is the negative reciprocal of the slope of the vector.

The vector v = i + 2j has a slope of 2/1 = 2. The negative reciprocal of 2 is -1/2. Therefore, the slope of the line perpendicular to v is -1/2.

Using the point-slope form of a line, we can write the equation of the line passing through P as follows:

y - y₁ = m(x - x₁)

Substituting the values of P(2, 1) and the slope (-1/2), we get:

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

Simplifying the equation, we have:

y - 1 = (-1/2)x + 1

y = (-1/2)x + 2

Exercise 36:

P(-1, 2)

v = -2i - j

The slope of the vector v = -2/1 = -2. The negative reciprocal of -2 is 1/2.

Using the point-slope form, we can write the equation of the line passing through P(-1, 2) as:

y - 2 = (1/2)(x + 1)

Simplifying the equation, we have:

y - 2 = (1/2)x + 1/2

y = (1/2)x + 5/2

Exercise 37:

P(-2, -7)

v = -2i + j

The slope of the vector v = 1/(-2) = -1/2. The negative reciprocal of -1/2 is 2.

Using the point-slope form, the equation of the line passing through P(-2, -7) is:

y - (-7) = 2(x - (-2))

Simplifying the equation, we have:

y + 7 = 2(x + 2)

y = 2x + 3

Exercise 38:

P(11, 10)

v = 2i - 3j

The slope of the vector v = -3/2. The negative reciprocal of -3/2 is 2/3.

Using the point-slope form, the equation of the line passing through P(11, 10) is:

y - 10 = (2/3)(x - 11)

Simplifying the equation, we have:

y - 10 = (2/3)x - 22/3

y = (2/3)x - 52/3

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Complete Question:

In Exercises 35–38, find an equation for the line through P perpendicular to v. Then sketch the line. Include v in your sketch as a vector starting at the origin.

35. P(2, 1), v = i + 2j

36. P(-1, 2), v =-2i - j

37. P(-2, -7), v =-2i + j

38. P(11, 10), v = 2i - 3j.

Answer:

in △abc, the sides ab and ac are produced to ∠p and ∠q respectively. if the bisectors of ∠pbc and ∠qcb intersect at a point o. prove that ∠boc = 90 - ½ ∠a.

The point that is located at the ordered pair (4, -2) is given as follows:

Point B.

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

On the coordinate plane, we have that:

Hence the coordinates for this problem are given as follows:

A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).

The graph is given by the image presented at the end of the answer.

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Answer:

u = 2

Step-by-step explanation:

The slope of a line between points \((x_1,y_1)\) and \((x_2,y_2)\) is equal to \(\frac{y_2-y_1}{x_2-x_1}\), so, given our slope of 8, we need to find the first y-coordinate:

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\8=\frac{10-u}{3-2}\\\\8=\frac{10-u}{1}\\\\8=10-u\\\\-2=-u\\\\2=u\)

Hence, the value of "u" is 2.

Answer:

To find the value of u, you can use the slope formula:

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

In this case, (x1, y1) = (2, u) and (x2, y2) = (3, 10). Plugging these values into the formula gives:

slope = (10 - u) / (3 - 2)

Simplifying this expression gives:

slope = (10 - u) / 1

Since the slope is 8, we can set this expression equal to 8 and solve for u:

8 = (10 - u) / 1

8 = 10 - u

u = 10 - 8

u = 2

Therefore, the value of u is 2.

Certainly! The slope of a line is a measure of how steep the line is. It is calculated by finding the ratio of the difference in the y-coordinates of two points on the line to the difference in the x-coordinates of those same two points. For example, in the line you gave, the two points are (2, u) and (3, 10). The difference in the x-coordinates of these two points is 3 - 2 = 1, and the difference in the y-coordinates is 10 - u. The slope of the line is then (10 - u) / 1. We know that the slope of this line is 8, so we can set the expression for the slope equal to 8 and solve for u. This gives us the value of u, which is 2. I hope this helps! Let me know if you have any questions.

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

40.5 Units

Step-by-step explanation:

The area of a kite is A = (d1d2) / 2, where d1 and d2 are the diagonals of the kite.

Since the kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

d1 = 9 units

d2 = 9 units

A = (9units * 9units) / 2

A = 81units² / 2

A = 40.5 units²