Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark (/) for the fraction bar.

Answer:

m = -5

n = -2

Step-by-step explanation:

5m + 6n = -37

10m + 4n = -58 multiply first equation by -2

-2 × 5m + 6n = -37

-10m + (-12n) = 74 now add two equations up

10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms

-8n = 16 divide both sides by -8

n = -2

to find the value of m, replace n with -2 in the first equation

5m + 6*(-2) = -37

5m - 12 = -37 add 12 to both sides

5m = -25 divide both sides by 5

m = -5

Answer:

1288 times greater

Step-by-step explanation:

(8.5x10^-2)/(6.6x10^-5)

(8.5/6.6)*(10^-2/10^-5)

(1.29)*(10^3)

1288 times greater

answer to the question that you have

2,048.0

2050 because

1-9 = ones place

10-99 = tenth place

100-999 = hundrends place

1000 - 999999 - thousands place

and you round to the nearest 0 if it is 5 or up and if it is 1 to 4 it stays the same

If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The  rate that  the turtle is crawling in miles per hour is:  0.2 miles /hour .

Given data:

1/2 of an hour  =  1/20 of a mile

Now let determine the unit rate

Unit rate that the turtle is crawling is: (1/20)/(1/2)

Hence,

Unit rate  = (1/20)×(2/1)

Unit rate  = 2/20 miles/hour

Unit rate = 0.2 miles /hour

Therefore the rate is 0.2 miles per hour.

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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

A turtle is trained by Tanya,

For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.

We need to find at what rate the turtle is travelling per hour.

Let x be the distance travelled by turtle in hour.

1/20/1/2=x/1

Apply cross multiplication

x/2=1/20

x=2/20

x=0.1 miles / hour

Hence 0.1 miles per hour is the turtle travelling per hour.

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We will investigate the equal distribution of ribbon amoung her friends.

Isis has a ribbon for crafts for a certain length ( L ):

Isis has ( n ) number of friends amoung which she wants to equally distribute the length ( L ) of her ribbon:

Under the assumption of equal distribution we can divide the total length of ribbon ( L ) amoung Isis ( n ) of friends to determine what length ( l ) each friend got:

So each friend of Isis got a piece of 40 cm length of the ribbon. So the length of the ribbon accumulated for 5 friends would involves the direct multiplication of 5 number of friends and length of each piece ( l ):

Therefore, the answer to the question is:

Answer: The answer is c) The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation: edge 2022

Answer: C

Step-by-step explanation:

The value of the unknown angle x is 22 degrees.

SV is a parallel to RU.

RV is a transversal line that cut across the parallel lines SV and RU.

Therefore,

x = ∠V(alternate angles)

Alternate angles are congruent.

Hence,

∠V + 44 + 5x + 4 = 180 (sum of angles in a triangle)

x + 44 + 5x + 4 = 180

x + 5x + 48  = 180

6x + 48 = 180

6x = 180 - 48

6x = 132

divide both sides by 6

x = 132  /6

x = 22 degrees

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The value of x in the vertical angles is 12.

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertically opposite angles are congruent.

Therefore, the vertical angles measures 84 degrees and 8x - 12.

Let's find the value of x using the principle of vertically opposite angles.

Therefore,

84 = 8x - 12

add 12 to both sides of the equation

84 + 12 = 8x - 12 + 12

96 = 8x

divide both sides by 8

x = 96 / 8

x = 12

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Answer:

u = 3

Step-by-step explanation:

Step 1: Distribute 5 in u - 5

[tex]\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}[/tex]

Step 2: Add like terms together (u-term)

[tex]\displaystyle{11u-25=8}[/tex]

Step 3: Add both sides by 25

[tex]\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}[/tex]

Step 4: Divide both sides by 11

[tex]\displaystyle{\dfrac{11u}{11}=\dfrac{33}{11}}\\\\\displaystyle{u=3}[/tex]

Answer Check

Step 1: Substitute u = 3 in the equation

[tex]\displaystyle{5(3-5)+6(3)=8}[/tex]

Step 2: Evaluate & Simplify

[tex]\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}[/tex]

Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.

Please let me know if you have any questions!

Answer:

Step-by-step explanation:

Let the cost of stone sphere is s and stone cylinder is c.

According to question we have equation:

Solve it for s:

Substitute the value of c:

The equation that represents the sentence will be (1/14)xy ·[x² + 3y].

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sentence is given below.

One-fourteenth times x cubed times y plus three-fourteenths times x times y squared.

Convert the sentence into an expression. Then we have

⇒ (1/14)x³y + (3/14)xy²

Simplify the expression, then we have

⇒ (1/14)x³y + (3/14)xy²

⇒ (1/14)xy ·[x² + 3y]

The equation that represents the sentence will be (1/14)xy ·[x² + 3y].

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It took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.

The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.

Given is Davin who needs 1 3/4 hours to get to his aunt's house. However, due to the labor day traffic this year it took him 3 1/5 years.

We have to find the difference between the time span Davin took to reach his aunt's house.

Time taken by Davin without the labor day traffic = T[N] = 1 3/4 = 7/4 hours

Time taken by Davin with the labor day traffic = T[L] = 3 1/5 = 16/5 hours

Difference in time spans = T[D] = T[L] - T[N]

T[D] = 16/5 - 7/4

T[D] = 3.2 - 1.75

T[D] = 1.45 = 1 + 0.45

T[D] = 1 [tex]\frac{3}{4}[/tex] hours  

Davin took 1 [tex]\frac{3}{4}[/tex] hours more.

Therefore, it took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.

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A graph which best describes what the proportional relationship would be D. A line that passes through the point (0, 0) and continues through the point (12, 3).

In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Additionally, a graph which shows a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).

Since the graph represents a proportional relationship we will get;

Constant of proportionality, we get;

k = 12/3 = 8/2 = 24/6

k = 4

Ratio,

24:6

= 12:3.

Therefore, A line that passes through the point (0, 0) and continues through the point (12, 3).

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The end behavior of the polynomial function is as shown in the attached picture.

Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial

The end behavior refers to the behavior of the function at the extremes of the x direction.

The end behavior of a polynomial function is controlled by the term that has the leading terms

In the given question,

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Given the Cyclic Quadrilateral Theorem,

Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).

Therefore,

To obtain y,

Thus,

Therefore, the values are

m

m

m

Using the law of cosines, the length of BC in the given quadrilateral is: 8.1 cm.

The law of cosines that can be used to find the length of a side of a triangle with a known included angle and two sides is:

c² = a² + b² - 2 × a × b × Cos C.

Considering right triangle ABD,

BD = a

DC = b

BC = c

Use the Pythagorean theorem to find the length of BD in the quadrilateral as shown in the diagram:

BD = √(7.5² + 5²)

BD = √(7.5² + 5²)

BD = 9.0 cm

Use the law of cosines to find the length of BC:

BC² = BD² + DC² - 2 × BD × DC × Cos <BDC.

Substitute

BC² = 9.0² + 13² - 2 × 9.0 × 13 × Cos 38

BC² = 250 - 184.4

BC² = 65.6

BC = √65.6

BC = 8.1 cm

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Given

Two sets A = (-∞, - 5], B = [5, ∞)

Find

union, AUB

Explanation

Union of two sets A and B is the set of all elements that are present in A or in B

so , here A = (-∞, - 5], B = [5, ∞)

then union of set A and B is given by

Final Answer

Therefore., the union of A and B is (-∞, - 5] U [5, ∞)

The value of x = 1/M-1 , x = -1/M+1

What is Graph?

The graph of a function f is the set of ordered pairs where "displaystyle f(x)=y" exists. In the common scenario when x and f(x) are real integers, these pairings represent Cartesian coordinates of points in two-dimensional space and hence constitute a subset of this plane.

M(x) = |x + 1|

|x + 1| = M(x)

x + 1 = M(x)

x + 1 = -M(x)

Adding (-x) both side

x + 1 + (- x) = M(x) + (- x)

x + 1 + (- x) = -M(x) + (- x)

x + 1 - x = M(x) - x

x + 1 - x = -M(x) - x

1 = M(x) - x

1  = -M(x) - x

M(x) - x = 1

-M(x) - x  = 1

x(M-1)  = 1

x(-M-1)  = 1

Dividing both side with (M - 1) and (-M - 1)

x(M-1)/(M - 1)   = 1/(M - 1)

x(-M-1)/(-M - 1)  = 1 /(-M - 1)

x = 1/(M - 1)

x = 1/(-M - 1)

Hence, x = 1/M-1 , x = -1/M+1

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Answer:

1

Step-by-step explanation:

The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line

Hope that helps

As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.

A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)

Given:

The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.

The dimensions of the New image have 35% width and 35% height.

Width = 0.35 × 300 = 105

Height = 0.35 × 450 = 157.5

Scale factor = New Dimension/Original Dimension

Scale factor of Height = 157.5/450 = 0.35

Scale factor of width =  105/300 = 0.35

Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.

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Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

Answer:

See below

Step-by-step explanation:

Length (L), volume (V), weight(W), or mass(M)

Mile     L

Cup           V

Pound   W

Centimeter L

Liter     V

Gram   M

Pint           V

Yard   L

Kilogram   M

Teaspoon  V

Milliliter    V

1. Mile

2. Cup

3. Pound

4. Centimeter

5. Liter

6. Gram

7. Pint

8. Yard

9. Kilogram

10. Teaspoon,

11. Milliliter

The intervals to the given function are as follows:

This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).

From the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:

Hence the intervals are given as follows:

The relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:

(-0.366, -5.848) and (2,-1).

The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:

(1.366, -0.652).

The end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:

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Answer:

(x+6)+x=20 Andy

Step-by-step explanation:

X represents Andy

X+6 represents juana who did 6 more problems

(X+6)+x=20

2x+6=20

2x=14

X=7

the relation is 3x + y = 3

so,

y = 3x - 3

the domain is the values of x

so, substitute with each value of {-2,2,4} at the last equation of y

when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9

when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3

when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9

so, the range will be {-9 , 3 , 9}

The correct answer is option a. (-9,3,9)x

In this problem, we are going to write and solve a system of equations based on a real world situation.

Last week, she did 1 load of laundry and 8 loads of dishes, and her parents paid her $26. The week before, she finished 3 loads of laundry and 8 loads of dishes, earning a total of $30.

To begin, we need to create variables for the unknown cost of each chore.

Let x represent laundry, and let y represent dishes.

From the first equation, we can write the equation:

We can write the second equation as:

Together, we have the system:

Multiply the first equation by -1, then add it to the second equation:

We can divide the remaining equation by 2 on both sides:

Lada made $2 per load of laundry.

We can use the value of x in the first equation to find the value of y. Substitute x = 2:

Subtract 2 from both sides:

Divide by 8 on both sides:

Lada made $3 per load of dishes.

To find the distance between two numbers on the number line, you have tu use absolute value

So, if I want to know the distance from -2 to 5, all I have to do is to substract 5 from -2 and then apply absolute value, like this:

And the number line should look like this:

Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

Answer:

6.  Draw a vertical line that goes though points (4,7) and (4,9).  For a relation to be a function, each input has to have only one output.  The input 4 cannot have the output of 7 and 9.  This proves that this is not a function

7. The range is 91, 3, 6, 10 and 15)

Step-by-step explanation:

The range is the answer if you put in the x for range that they give you.

For example:

x ( x+ 1)/2  If I put in 1 for x, I will get

1(1+1)/2

2/2

1

When the input is 1, the output is one.  You that for each of the domains given and you will find the ranges (outputs) that I have written above.