Find an equation in point-slope form for the line having the slope m = 2 and containing the point (7,5).

The comparison of the inequalities that is correct among the given options is; D: -5 < -4

We want to compare absolute values.

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3.

The absolute value of a number can also be described as its distance from zero along real number line.

A) |-3| > |-4|; This is incorrect because the absolute value of - 3 is 3 and the absolute value of - 4 is 4 and 4 is greater than 3 not the other way round.

B) Again, this is incorrect as the absolute value of 5 is 5 which is less than 7.

C) This is incorrect with the same reason as above.

D) This is correct because on a number line, - 5 is less than - 4

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Given the coordinates above, the area of the trapezoid is approximately 41. See the explanation below.

A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.

For the calculation showing the above solution:

Step 1 - Given:

A = (-3,2)

B = (1, 5)  = ⊥

C = (-7, -3)

D = (0.-2)

Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:

d=√((x2 – x1)² + (y2 – y1)²).

Distance of Line AB =

√((1 – (-3))² + (5 – 2)²).

= √[(4)² + (3)²]

= √( 16 + 9)
= √25

AB= 5

Repeat this for  BC, CD, DA and we'd get the following

BC =  11.313708498985
CD = 7.0710678118655

DA = 5

Step 3  - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:

A = [(a+b)/2] h

Where a = 5

b = 11.313708498985

h = 5

=  [(5+11.313708498985)/2] 5

= 40.7842712475

[tex]\approx[/tex] 41

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The transformed function becomes; f'(x) = (1/2)[(-x - 77)² - 5] after its shifting and compression.

For the given question;

Thus, the transformed function becomes; f'(x) = (1/2)[(-x - 77)² - 5].

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Answer: 5

Step-by-step explanation:

perimeter = 2 x length + 2 x width

plug in the values

46 = 2(3x+2)+2(x+1)

distribute the 2 into the fraction by multiplying

46 = 6x+4+2x+2

add similar components

46 = 8x+6

subtract 6 to both sides

40 = 8x

divide by 8

5 = x

Answer:

17 : 420

Step-by-step explanation:

  When finding the ratio of two quantities, both quantities should be in same type.

Convert 7 minutes to seconds.

     7minutes = 7 * 60

                     = 420 seconds

17 seconds : 7 minutes = 17 : 420

Answer: -8/3

Step-by-step explanation:

slope is rise/run or y2-y1/x2-x1

so, the two points are (4,-4), (1,4)

-4-4/4-3= -8/3

The value of x is 10

The perimeter of the triangle is 30 units

An equilateral triangle can be defined as a triangle which has all its sides equal or congruent to each other.
The properties of an equilateral triangle includes;

From the information given, we have the sides as;

Since all of its sides are equal, we have to  equate two side, we have;

x + 5 = 2x - 5

collect like terms

x - 2x = -5 - 5

subtract the like terms

-x = -10

make 'x' the subject

x = 10

But the perimeter of an equilateral triangle = 3a = 3(10) = 30 units

Thus, the value is 10

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If you're talking about the lower case m, which sporadically appears before a specific angle, like m ANGLE A-B-C. The m denotes the angle ABC's "measure" (angular measure in degrees).

Here the angle m ∠UVX = [tex]52^{0}[/tex].

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The function f(5) equals 15.5 inches

What is a function?

A function from either a set X to a set Y provides precisely one item of Y to each item of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. The Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi are credited with the first known attempt to the concept of function. Initially, functions were the idealized vision of how a variable quantity depended on another quantity. A planet's location, for example, is a function of time. Historically, the notion was developed with the infinitesimal calculus at the end of the 17th century, and the functions investigated were differentiable until the 19th century.

The function is solved as

f(5) = 3 + 2.5(5) = 3 + 12.5 = 15.5 inches

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Answer: The coordinates W' after a rotation 270° counterclockwise about the origin is (3,-1)

Answer:

Explanation:

Here, we want to rewrite the given expression

What we have to do is to start by opening up the bracket

To do this, we have to multiply the term on the left with each term inside the bracket

Then we collect the like terms and perform the necessary arithmetic operation

We have this as follows:

Answer:

68y-42

Step-by-step explanation:

7(9y+2y-6)-9y

Find the expression in simplest terms

Combine like terms

7(11y-6)-9y

Distribute

77y -42-9y

Combine like terms

68y-42

Answer:

G= (8,9)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The water level drop each​ hour by 0.0384 inch

Firstly, the deacrease in water level is takes as per the question

Decrease = 3/8 inches

Decrease=0.375 inches

Then the time interval is calculated

From 10 pm to  7:45 hours will be 9.45 hours

Time interval= (9 + 45/60) hours

Time interval=9.75 hours

Now, the drop in water level per hour is determined, to do so, total water level decreased is divided by the time taken to decrease that water level

that is 0.375/9.75 inches/hour

= 0.03846 inches/hour

Therefore, if between 10 P.M. and 7:45 A.M.​, the water level in a swimming pool decreased by 3/8 inches and the water level decreased at a constant​ rate, the water level drop each​ hour is 0.03846

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Answer: 5 + 2 = 7

Step-by-step explanation: its easy

One paint container is enough to paint all the faces of fifty 8 cm cubes.

Given

The paint can cover 20,000 [tex]cm^{2}[/tex]

Side of square  = 8 cm

As the Total surface area of a cube is  [tex]6a^{2}[/tex],

where a is the side of the cube.

The total surface area of one cube =  6 x [tex]8^{2}[/tex]

                                                          =  384 [tex]cm^{2}[/tex]

Since there are fifty such cubes,

384 x 50

Total area to be painted = 19200 [tex]cm^{2}[/tex]

Since 19,200 [tex]cm^{2}[/tex] is less than 20,000 [tex]cm^{2}[/tex] , it is possible to paint all the cubes.

Hence one paint container is enough to paint all cubes.

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When we try to convert the value of one kilo meter to feet, the value that we obtain is 3280.8 ft.

We know that there are several units that we could use for calculations. t is often common that we need to convert the units from one unit to the other so that we can be able to carry out calculations. The number that allows us to be able to carry out such a a conversion is what we call the conversion factor for that particular operation.

Given that;

1 foot = 0.0003048 kilo meter

We can see that if we seek to convert a value of One km to feet we would have 3280.8 ft

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Answer:

(-5, -3, 1, 2, 3) .... the fourth one

Step-by-step explanation:

the domain is all the x values.

so look at your points and look at the x values ( the number on the X-axis) for those points!

The linear equation of the line that passes through point (-4,-2) and has a slope of -3 is y = -3x - 14.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point ( -4, -2 )

First we calculate the y-intercept 'b' using the equation of line formula.

y = mx + b

Plug in point ( -4, -2 ) and slope -3.

-2 = -3(-4) + b

-2 = 12 + b

b = -2 - 12

b = -14

Now that we have the values of slope m and y-intercept b, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = -3(x) + ( -14 )

y = -3x - 14

Therefore, the equation of the line is y = -3x - 14.

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The inequality that will define Omar's run is 12 + m ≥ 28.

An inequality in algebra is a mathematical statement that employs the inequality symbol to show how two expressions relate to one another. The phrases on either side of an inequality symbol are not equal. The phrase on the left should be larger or smaller than the expression on the right, or vice versa, according to this symbol. Relationships between two algebraic expressions that are represented by the inequality symbols are known as literal inequalities. The relationship is known as an inequality when the symbols ">", "", "", or "" are used to link two real numbers or algebraic expressions.

For this issue, it is said that Omar would run at least 28 miles this week; he may run more, but 28 miles is his minimum objective.

He had already covered 12 miles.

Afterward, the inequality symbol will be "."

The inequality is therefore 12 + m 28.

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Answer:

90 minutes(1hour 30 minutes)

Step-by-step explanation:

If 1 room=15 minutes

Then 6 rooms= ?

=6×15/1

=90 minutes

=1hour 30 minutes

Based on the given task content; the first term of the series whose nth term is 3n-5/4 is -1/2.

nth term = (3n - 5) /4

Where,

First term, a = (3n - 5) / 4

= (3n - 5) / 4

= {3(1) - 5} / 4

= (3 - 5) / 4

= -2/4

= -1/2

The first term of the series whose nth term is 3n-5/4 is -1/2

(3n - 5) / 4

= {3(12) - 5} / 4

= 36 - 5 / 4

= 31/4

= 7.75

Therefore, the 12th term of the series whose nth term is 3n-5/4 is 7.75

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100 keed lol keed lol keed

Answer:

Step-by-step explanation:

 Both equations are linear equations with one variable.

Difference:

  Problem1: Linear equation uses discrete variable. Money can be counted.

 Problem 2: Linear equation uses continuous variable. water can be measured.

Answer:

there must be 14 students and each one can get 4 pencils and 3 erasers

Step-by-step explanation:

56 goes into 14 4 times. 42 goes into 14 3 times none left over

Difference: the outcome of subtraction.

Let's just start of with the difference between 4.1 and 1.9, because we need the result of this before we do anything else.

1. 4.1-1.9=2.2

2.2 is the difference of 4.1 and 1.9.

2. It says to add 6.2 next.

6.2+2.2= 8.4

Next we need to divide by 3.

3. 8.4/3=2.8.

4.                        2.8 is the answer!!

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i think this was simple, so good luck!! much love! <33

Answer:

3x +26

Step-by-step explanation:

Answer:

44.77

Step-by-step explanation:

13.1x3.70=13.1x3.7

37x131=4477

get back the decmial point 44.77