What is the intermediate step in the form (x+a)2=b as a result of completing the square for the following equation?

Answer:

15 x 9 is equal to 14.6/9 nearest whole number

Step-by-step explanation:

An object moves in a straight line at a constant speed when it is in uniform motion. In this equation, the units of length used to measure distance are meters or kilometers, the units of velocity are meters per second or kilometers per hour, and the units of time are seconds or hours. Given an object's speed, this formula can be used to determine how far the object will go in a given amount of time.

 It's also crucial to keep in mind that this formula is only accurate for motion that is uniform .

 The distance formula for uniform motion is:

Distance = Speed x Time

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The scatter plot's line is a strong line of fit because it Yes, as the line depicts a favorable association.

A scatter plot's maximum number of points and an approximately equal number of points above and below the line are the parameters that define the line of best fit. It is employed to examine the type of relationship between two variables. In general, a graph's "line of best fit" passes through the center of each scatter point.

Stronger correlations occur when points are located along the line of best fit. the sum of squares of errors for each and every conceivable line. The most accurate line is the one with the lowest total of squared errors. The correlation between the two variables is higher when the data points are drawn so that they nearly form a straight line.

Therefore the correct answer is Yes, because the line models a positive association.

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Answer:

9 + 10 is 19

Step-by-step explanation

To find this count up from 10 9 times.

Answer:

Step-by-step explanation:

19...

we add on 9 to 10, making 19

The angle between the angles 0 to 2π is π / 2.

The coterminal angles are the angles that have the same initial side and the same terminal sides. We determine the coterminal angle of a given angle by adding or subtracting 360° or 2π to it. In trigonometry, the coterminal angles have the same values for the functions of sin, cos, and tan.

The coterminal angle will be calculated by subtracting the angle 2π from the angle 5π / 2.

Coterminal angle =  ( 5π / 2 ) - 2π

Coterminal angle =  π / 2

Hence, the value of the angle will be π / 2.

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Answer:

  220.5 square feet

Step-by-step explanation:

You want to know the area of an irregular shape.

The figure can be decomposed into a triangle and a trapezoid by extending the vertical line through the figure.

The triangle has side lengths 15 ft and 15 ft, so its area is ...

  A = 1/2bh

  A = 1/2(15 f)(15 ft) = 112.5 ft²

The trapezoid has bases of 25 ft and 29 ft, and a height of 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(25 ft +29 ft)(4 ft) = 108 ft²

The area of the grass will be the total of these areas:

  grass area = triangle area + trapezoid area

  grass area = 112.5 ft² +108 ft² = 220.5 ft²

The area of the grass is 220.5 square feet.

When a line has negative slope, it goes down and right OR up and left.

We know that the slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate.

The slope of the line describes the steepness of a line.

Also,  if a line makes an angle θ with the positive direction of the x-axis, then the slope of the line will be tangent of angle θ

m = tan θ

In order to graph a negative slope, we must know that a negative number in the ratio to move down along the y-axis or to the left along the x-axis.

Suppose the negative slope is of the form m = -b/a

This means, for every 'a' units change in the horizontal distance there is -b unita change of vertical distance.

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Answer:  rational, irrational, irrational

Step-by-step explanation:

An easy way to figure out if a number is rational is by checking to see if it can be written as a fraction. 0.44 can be written as a fraction: 44/100

Any square root that is not a perfect root is an irrational number. An irrational number can be a decimal that is non-terminating (it doesn't end) and a non-repeating decimal (it doesn't repeat).

When the slope m and a point (x₁, y₁) is given then the y-intercept (b) is given by an expression y = y₁ - mx₁

We know that the slope-intercept form of equation of line is y = mx + b

where m is the slope of the line and b is the y-intercept of the line.

We need to find the value of b i.e., y-intercept when the slope and a point is given.

We know that the equation of line with slope m and passing through point (x₁, y₁) is given by the formula

(y - y₁) = m(x - x₁)

If we simplify above equation  we get,

y - y₁ = mx - mx₁

y = mx - mx₁ + y₁

y = mx + y₁ - mx₁

y = mx + (y₁ - mx₁)

Comparing above equation with slope-intercept form we get the y-intercept ,

b = y₁ - mx₁

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You will need 6.25 lbs of the cheaper chocolate, and 1.75 lbs of the more expensive chocolate to get 8 lbs of a chocolate mix that sells for $6.90/lbs.

To find the specific amounts of each chocolate needed to make 8 lbs of a chocolate mixture that sells for $6.90/lb, we can substitute x + y = 8 into the equation (6.80x + 8.80y) / (x + y) = 6.90 and solve for x.

First, we'll substitute x + y = 8 in the equation:

(6.80x + 8.80y) / 8 = 6.90

6.80x + 8.80y = 55.20

x = (55.20 - 8.80y) / 6.80

We know that x + y = 8, so we can substitute that in for y:

x = (55.20 - 8.80(8 - x)) / 6.80

x = (55.20 - 70.40 + 8.80x) / 6.80

Now we'll solve this equation for x:

8.80x = 125.60 - 70.40

8.80x = 55.20

x = 55.20 / 8.80

x = 6.25

So, you will need 6.25 lbs of the cheaper chocolate, and

8 - 6.25 = 1.75 lbs of the more expensive chocolate.

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When the two segments have the equal lengths then they are called congruent segments.

As given in the question,

Let us consider two different segments named AB and CD.

Length of the segment AB is equal to 5 cm __(1)

Length of the segment CD is equal to ( 6 - 1 ) cm.

⇒Length of CD = 5cm __ (2)

Length of segment AB is equal to the length of segment CD.

⇒ measure of (AB ) = measure of (CD)

This implies that the two segment with the same length are called congruent to each other.

Therefore, the segment having equal length are called congruent segments.

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Answer:

  176 +80√5

Step-by-step explanation:

You want the exact value of (1 +√5)^5.

The coefficient of the expansion are found in Pascal's triangle (attached). Row 5 is used for the 5th power:

  (a +b)^5 = a^5 +5·a^4·b + 10·a^3·b^2 +10·a^2·b^3 +5·a·b^4 +b^5

When a = 1 and b = √5, this becomes ...

  (1 +√5)^5 = 1 + 5·√5 +10·5 + 10·5√5 +5·25 +25√5

  = (1 +50 +125) +(5 +50 +25)√5

  (1 +√5)^5 = 176 +80√5

just a quick addition to "sqdancefan" superb reply above

[tex]\qquad \qquad \textit{binomial theorem expansion} \\\\ \qquad \qquad (1+\sqrt{5})^{5}~\hspace{4em} \begin{array}{clcl} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(1)^{5 }(\sqrt{5})^0\\ 2&+5&(1)^{4}(\sqrt{5})^1\\ 3&+10&(1)^{3}(\sqrt{5})^2\\ 4&+10&(1)^{2}(\sqrt{5})^3\\ 5&+5&(1)^{1}(\sqrt{5})^4\\ 6&+1&(1)^{0}(\sqrt{5})^5 \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]1(1)+5(1)(\sqrt{5})^1+10(\sqrt{5})^2+10(1)(\sqrt{5})^3+5(\sqrt{5})^4+(\sqrt{5})^5 \\\\\\ 1+5\sqrt{5}+50+50\sqrt{5}+125+25\sqrt{5}\implies {\Large \begin{array}{llll} 176+80\sqrt{5} \end{array}}[/tex]

The numbers that can be expressed as a ratio of two integers are called as Rational Numbers , and one such example is [tex]\frac{2}{3}[/tex] .

What are Rational Numbers ?

The Rational Numbers are defined as the ratio of two integers where the denominator is non zero .

Mathematically , the rational numbers are the numbers that can be expressed in the form of [tex]\frac{p}{q}[/tex] , where [tex]q\neq 0[/tex] .

So , We can say that any fraction that fits under category of rational numbers, where denominator and numerator are integers and denominator is not equal to zero.

Few Examples of that can expressed as ratio of integers are :

(i)  [tex]\frac{1}{2}[/tex] , here 1 and 2 both are integers , and [tex]2\neq 0[/tex] .

(ii) [tex]\frac{5}{6}[/tex] , here 5 and 6 both are integers , and [tex]6\neq 0[/tex] .

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The value of x for 4 + 5√x = 14 is 4.

Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given 4 + 5√x = 14

5√x = 14 - 4

5√x = 10

√x = 10/5

√x = 2

square both side

(√x)² = 2²

x = 4

Hence the value of x is 4.

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To find the measure of an interior angle of a polygon, you can use the formula: (n-2) * 180 / n, where n is the number of sides in the polygon.

Sum of interior angles of a polygon

=x+(x+75)+2x+33+140

solving for x,

x+x+75+2x+33+140=540

4x+248=540

4x=540-248

4x=292

x=[tex]\frac{292}{4}[/tex]

x=73

Angle x=73

angle x+75

=73+75

=148

Angle 2x=2*73=146

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If you win if you draw a card with a star, the way the game can be made fair is; C: Add a star to 1 of the blank cards.

A basic game of chance is one that considered fair if every player has an equal probability of winning. A choice is deemed to be fair if all possible options have an equal probability of being chosen.

The first one is out of the equation to win because it isn't fair.

We want a 50/50 chance to win. Thus, If we add 2 cards with stars, then the chance of winning increases by a large portion  much. However, If we take away 2 blank cards, it would be fair, but we want to still have 10 cards. Thus, the only choice left is to add a star to 1 of the blank cards.

Therefore we can conclude that the way the given game can be made fair is given by the option C to add a star.

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In the regrouping to use a different expression for the number in place of * is 11 thousands.

Here we have to write the regroup to express the number as 71,830 = 6 ten thousands + 11 thousands + 8 hundreds + 3 tens

What in elementary math is regrouping?

When doing mathematical operations like addition or subtraction, regrouping is the process of creating groups of ten. When dealing with double digits, this happens most frequently. Technically, though, it happens whenever you get a response that is more than 10.

Where using regrouping, you may frequently solve addition or subtraction problems, and this is when the Place Value Table comes in extremely handy.

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Solving the provided question, we can say If p and q are rational numbers, which equation p-q=0 is true

Any number that can be expressed as a ratio (or fraction) of two integers is said to be rational. A rational number is a fraction that has a nonzero denominator. 1/2, 1/5, and 3/4 are examples of rational numbers. Additionally a rational number, "0" may be expressed in a variety of ways, including 0/1, 0/2, and 0/3. However, 1/0, 2/0, 3/0, etc. The number seven is logical. When two integers are divided, the result is known as a rational number. Divide the whole number 7 by the whole number 1 to obtain the rational number 7. Since two integers may be divided to yield 7, it is known as a rational number.

If p and q are rational numbers, which equation

p-q=0 is true

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which is the following exterior angles

Answer:

6,4,3,2

Answer: I believe the answer is M= -4

Step-by-step explanation:

Answer:FX rtydf

V a s

Step-by-step explanation:gcvgvhjtv

ax

Answer:

c

Step-by-step explanation:

28 time it's self is 784

Answer:

Step-by-step explanation:

convert in to cm:  (28 in)(2.54 cm/in) = 71.12 cm

radius = r = D/2 = 71.12/2 = 35.56 cm

A-circle = πr² = π(35.56)² = 3973 cm²    none of the answers shown are correct!

UNLESS is the diameter 28 cm??

If so, the solution is:

A = π(28/2)² = 615.7 cm²   again, none of the answers shown are correct!

You may want to double check your question

Answer:

45-36=9x+√89+48x+7=0**≈≈1«»›8›√√›√--»46971»7

If Oliver chooses four of his toy cars and measures their wheel length , and  If he divide circumference by diameter for each of his wheel length, then he would find that (c) each time Oliver will get 3.14  .

let radius of circular wheel be = r ;

the diameter of the circular wheel will be = 2r ;

So , the circumference of the wheel is = 2πr ;

on dividing circumference by the diameter for each of his wheel length ,

we get ;

= [tex]\frac{2\pi r}{d}[/tex]  ;

Substituting the value of diameter, d = 2r ;

we get ;

= [tex]\frac{2\pi r}{2r}[/tex] ;

After simplification ,

we have ;

= π .

We know that,  value of [tex]\pi[/tex] is  [tex]3.14[/tex]  .

Therefore , On dividing each time we will get 3.14  .

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Side of first diagram is 6.6  and Perimeter  of first diagram is 23.6.

What is perimeter?

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape.

15. to find sides of triangle using pythagoras theorem.

[tex](hypo)^2=(side)^2+(side)^2[/tex]

As, the triangle is right angles triangle so we can use pythagoras theorem,

10/2=5

Putting values,

[tex](12)^2=(10)^2+(side)^2[/tex]

[tex]144 = 100+(side)^2\\144-100=(side)^2\\side=\sqrt{44}[/tex]

side=6.6

Perimeter of triangle P= sum of all sides

                                     =6.6+12+5

                                     =23.6

Perimeter is 23.6

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Answer:

0.18, 2/9, 23%, 0.25, 30%

Step-by-step explanation:

The five number summery of the data set is minimum = 2.2, Q1 = 3.3, median = 23.3, Q4 = 69.1 and maximum = 78.8

A box plot is a visual representation of the localization, dispersion, and skewness of a collection of numerical data through its quartiles.

The center "box" denotes the group's middle 50% of points. The inter-quartile range is the range of scores from the lower to higher quartile. The interquartile range encompasses the middle 50% of the scores. 75 percent of the scores are lower than the highest quartile.

When doing descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

Arranging the data in ascending order :

2.2, 3.3, 11.3, 16.1, 18.2, 18.8, 23.3, 23.5, 37.4, 44.8, 54.9, 69.1, 78.8

Total number of data = 13

The minimum value = 2.2

The maximum value = 78.8

The median is 7th term = 23.3

The Q1 of 1st quartile = 3.3

The Q4 of 4th quartile = 69.1

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33 out of 60 customers said they liked neither the service nor the food.

At a restaurant on one evening, 60 customers were surveyed about their experience. Of those customers, 41 said they liked the service, 49 said they liked the food, and 37 said they liked both the service and the food.

To answer the question of how many said they liked neither the service nor the food, we can subtract the numbers of those who liked the service, food, or both from the total number of customers.

60 customers - 41 who liked the service - 49 who liked the food - 37 who liked both = 33 customers who liked neither the service nor the food.

In conclusion, 33 out of 60 customers said they liked neither the service nor the food at the restaurant on the evening in question. This data shows that the majority of customers enjoyed their experience, with over two-thirds of customers liking either the food, the service, or both.

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2+x=5. x+1=4. 5+x= negative 2

Step-by-step explanation:

Solve my getting X by itself to one side. you do this by moving the number on the side of the question. therefore you perform the inverse operation. inverse of addiction is subtraction and inverse of subtraction is addition.

2+x=5.

-2. -2

x=3

x+1=4

-1. -1

x=3

-5+x= -2

+5. +5

x=3

To develop a theory on the relationship between birth week and movie preference, the next steps would be to:

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