Find the midpoint of the segment formed by the points D(8, 6) and E(4, 10). A. (2, –2) B. (6, 8) C. (9, 5) D. (12, 16)

Answer: z = 7 or z=-5

Step-by-step explanation:

First you need to factor the polynomial.

To factor \(z^{2}\)  - 2z -35       You will need to find two numbers that their product is -35 and their sum is -2  and the numbers -7 and 5  works out.

Rewrite the polynomial as,

\(z^{2}\) - 7z + 5z - 35  = 0   factor the left by grouping

(\(z^{2}\) -7z) (5z -35)  = 0

z(z -7)  5(z - 7) = 0      Factor out z-7

(z-7)(z+5) = 0        Now apply the zero product by setting each of them equal 0.

z-7= 0      or  z+5=0

 +7  +7             -5  -5

z = 7     or  z= -5  

Answer:

22.86 liters

Step-by-step explanation: thats the rounded up answer the full answer is 22.857142857142858

Answer:

5

Step-by-step explanation:

7.25y = 36.25. (after adding 15 on both sides)

Then divide by 7.25 and it should come out to 5. Hope this helps! :D

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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The angle between u and v is approximately 26.6 degrees.

To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:

u · v = ||u|| ||v|| cosθ

where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.

Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:

u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50

Next, we find the magnitudes of u and v:

||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246

||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071

Substituting these values into the dot product formula:

50 = 8.246 * 7.071 * cosθ

Simplifying, we have:

cosθ = 50 / (8.246 * 7.071) ≈ 0.899

Taking the inverse cosine (arccos) of 0.899, we find:

θ ≈ 26.6 degrees

Therefore, the angle between u and v is approximately 26.6 degrees.

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Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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Let x percent of 15.3 is 13.5

Then, it can be written as,

Thus, the quantity 13.5 is 88.23% of the quantity 15.3

Answer:

25

Step-by-step explanation:

range = largest value - smallest value (123-25)

Answer: 2nd gym for $60 is the better option cost wise

Step-by-step explanation: first gym is 5*35 = 175 + 150 = 325 second gym is 5*60 = 300  

300<325

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

=−3125x^10y^25

Step-by-step explanation:

Step-by-step explanation:

ur ans.....stay happy n safe

Answer:

Doña Catalina usó 3 bolas en cada bufanda y dejó de usar solo 1 bola.

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

Answer:

b = 9.2 (Rounded to the nearest tenth)

Step-by-step explanation:

ABC is a right-angled triangle at B.

Then ,according to the Pythagorean theorem:

\(b = \sqrt{a^2 + c^2}\)

  \(= \sqrt{6^2 + 7^2}\)

 \(= \sqrt{36 + 49}\)

 \(= \sqrt{85}\)

 \(=9.219544457293\)

Answer:

28/7

Step-by-step explanation:

Answer:

2n + n³

There you go.

Answer:

2×n^3

Step-by-step explanation:

i believe this is correct

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

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This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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Answer:

On the diagram, construct lines BY, XY and DY.

Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.

BX=DX

AB+radius = CD +radius

AB=CD

Hello this will be easy for you.

Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .

But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.

Now we are getting near to solve that x+8 degrees angle.

Recall that UVT is 26° ok ? So 180-26 = x+8

Thus

x+8 = 154

x = 154 - 8

x = 146

Finally the angle UVS = 154 and the value of x = 146

You can see all the angles in the image attached below

Good luck you will be the best

Answer:

one centimeter is 0.393701 inches

Step-by-step explanation:

Answer: second quadrant

Step-by-step explanation:

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

Yes

Step-by-step explanation:

5 (x5) = 25... 6 (x5) = 30

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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