B>DGiven:. E is the midpoint of ADE is the midpoint of BCProve: ΔΑΕΒΑ ΔDECE is the midpoint of ADGiven

The intermediate step in the form (x + a)² = b when you solve the given quadratic equation by using completing the square method is (x + (√3 - 2)/2)² = 77/4.

In Mathematics, the standard form of a quadratic equation is given by:

ax² + bx + c = 0.

In this exercise, you're required to determine the intermediate step in the form (x + a)² = b when you solve the given quadratic equation by using completing the square method. Therefore, we would re-write the quadratic equation by subtracting 19 from both sides as follows:

x² + 6x + 19 = 4x

x² + 6x + 19 - 19 = 4x - 19

x² + 6x = 4x - 19

x² + 6x - 4x = 19

x² + 2x = 19

In order to complete the square, we would have to add (half the coefficient of the x- term)² to both sides of the quadratic equation as follows:

x² + 2x + (1/2)² = 19 + (1/2)²

x² + 2x + 1/4 = 19 + 1/4

(x + (√3 - 2)/2)² = 77/4

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Complete Question:

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

x² + 6x + 19 = 4x

Let x be the measure of JK so we get that

The equation of the line in the slope-intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.

"b" is the point (0, yi).

"m" can be found using 2 points P₁ (x₁, y₁) and P₂ (x₂, y₂), according to the formula below:

So, to solve this question, follow the steps below.

(a) First graph

Step 01: Find the y-intercept and another point in the graph.

To find the points in the graph, choose a x-value and find its corresponding y-value.

Choosing x = 0, y = 2.

P₁ = (0, 2).

Choosing x = -3, y = -2.

P₂ = (-3, -2).

Step 02:

We have to write a word problem using,

• 72 tokens/12 games

• tokens/10 games

We can first give an information related to 72 tokens PER 12 games.

Then we can ask "how many tokens" per 10 games.

Let us devise a word problem.

The local game center sells tokens to play online games. Jeremy used 72 token to play 12 online games. At this rate, how many token would Jeremy use to play 10 online games?

The above problem uses both the information provided.

Part A

we have that

A(4) ----> looking at the graph

A(4) means----> population in the year 1994

so

A(4)----> less than 2 million

and

B(4) -----> greater than 2 million

therefore

the answer Part a is option B

Part B

there is only one value of t where A(t)=B(t)

the value of t is 6 (the year 1996)

Start making the percentage as a fraction

multiply the fraction by the total of the daily routine

Answer:

( -11/2, -2)

Step-by-step explanation:

Finding the midpoint

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and then divide by 2

(-10+-1)/2 = -11/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and then divide by 2

(11+-15)/2 = -4/2 = -2

The  mid point is ( -11/2, -2)

The price of the two stocks will be same in 1 hours .

in the question ,

it is given that

the price of the stock A at 9 A.M is $15.21

price increases at the rate of 0.07 each hour .

so the price of the stock A at 12 P.M. is 15.21 + 0.21 = $15.42

and the price of the stock A after x hours from 12 P.M. is given by the equation

stock A = 15.42 + 0.07(x)

the price of stock B at 12 P.M. is $15.96

price decreases at the rate of 0.15 each hour .

the price of the stock B after x hours from 12  P.M. is given by the equation

stock B = 15.96 - 0.15(x)

since the price of the two stocks is same , we equate both the equations .

15.42 + 0.07(x) = 15.96 - 0.15(x)

15.42 + 0.07x = 15.96 - 0.15x

0.15x + 0.07x = 15.42 - 15.21

0.22x = 0.21

x = 0.9545

x ≈ 1

Therefore , The price of the two stocks will be same in 1 hours .

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We first need to calculate the slope of the line.

m=(0-0)/(5-0)=0 since the slope is equal to zero we have that the line is horizontal.Then the equation is

the equation is y=0

EXPLANATION

Let's see the facts:

Appetizers = 30%

The discount price is given by the following equation:

Discount percentage=

Could you send me a screenshot of the question for better understanding, please?

84.27 square inch is the lateral surface area of cone.

All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area. A figure's lateral area consists solely of the non-base faces. The lateral surface area of several forms, such as a cuboid, cube, cylinder, cone, and sphere, is discussed in this article.

Given,

Height = 12 inches

Diameter = 4.4 inches

Radius = 2.2 inches

Lateral surface area:

πr√h² + r²

3.14 × 2.2 √(12)² + (2.2)²

3.14 × 2.2 √144 + 4.84

3.14 × 2.2 √148.84

3.14 × 2.2(12.2)

3.14 × 26.84

84.27

84.27 square inch is the lateral surface area of cone.

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we have that

x1 ----> number of cars with a 7,000 gal capacity

x2 ---> number of cats with a 14,000 gal capacity

x3 ---> number of cars with a 28,000 gal capacity

so

7000x1+14000x2+28000x3=462000

using a 3x3 system of equations solver

the solution is

x1=-2s-4t+66

x2=s

x3=t

The answer is option B

The first one the 3 sides are equal to 1, this mean that it is a equilater triangle, so it is possible to made exactly one unique triangle.

now for the other triangles we will add the two shortest sides of the triangle, and if they are more than the greater side of the triangle, then it will be a unique triangle, if not there will be more than one triangle

for the second one:

so the second one have exactly one unique triangle.

for the number 3:

So in this case there is none unique triangles.

for the number 4:

So in this case there is none unique triangles.

and for the number 5:

So we hace exactly one unique triangle.

Let's begin by identifying key information given to us:

When two events A and B are independent we have it thus:

The first step is to choose one option and rewrite it in the explicit form

I will choose the second option:

Now replace the x points in the equation to verify if it satisfies their respective value in y

For x=3

For x=3 satisfy y=3

Now x=6

For x=6 satisfy y=5

So the answer is b.

Line equation: y = 5

Slope: 0

Intercept: 5

Formule:

. Equation : y = mx + b

. Slope: m = () / ()

Use the following formula:

Then, for 11P6:

Hence, the result is 332640

The equations are

The smallest negative number is the pivot column

so the smallest negative number is -3 and hence the pivot column is

3

5

-3

The row pivot hence = 5

so pivot will be (x= -3 and S = 5)

We will find the measure of angle V as follows:

*From theorem we have that angles that are opposite to congruent sides are congruent. So, Angle W will also have a measure o 74°. Now, we also have that the sum of all internal angles of a triangle add 180°, so the following is true:

Now, we solve for V:

So, the measure of angle V is 32°.

According to the given data we have the following:

Total copies she buys= 25 copies

book cost=$7.19

Therefore, in order to calculate the amount of money that Mrs. Reeder spend we would have to make the following calculation:

Amount of money that Mrs. Reeder spend= quantity of copies * book cost

Amount of money that Mrs. Reeder spend=25 copies*$7.19

Amount of money that Mrs. Reeder spend=$180

The amount of money that Mrs. Reeder spend was $180

From the given figure, we can see that the angle (12x+4) and the angle (17x+2) lie on the same straight line.

Theerfore, they are supplimentary to each other.

The solution set does have only one element: {7000}

Given:

f(x) = 8x + 11

g(x) = 4x² + 7x - 2

We are asked to evaluate using the following:

(a) f(8)

f(8) = 8(8) + 11

f(8) = 64 + 11

f(8) = 75

(b) f(-8)

f(-8) = 8(-8) + 11

f(-8) = -64 + 11

f(-8) = -53

(c) g(6)

g(6) = 4(6)² + 7(6) - 2

g(6) = 4(36) + 42 - 2

g(6) = 144 + 42 - 2

g(6) = 184

(d) g(-7)

g(-7) = 4(-7)² + 7(-7) - 2

g(-7) = 4(49) - 49 - 2

g(-7) = 196 - 49 - 2

g(-7) = 145

(e) g(a)

g(a) = 4(a)² + 7(a) - 2

g(a) = 4a² + 7a - 2

Answer:

Step-by-step explanation:

7/5 = 1.4

15/10 = 1.5

so 7/5 is not equal to 15/10

You have to determine the cost for 4.5 inches of the construction using the graph.

The height is on the y-axis, and the cost is on the x-axis.

First, locate 4.5 in the y-axis, which is the value in the midpoint between 4 and 5.

Draw a horizontal line until you intersect with the line, then draw a vertical line from the function until the x-axis:

The line crosses the x-axis at the midpoint between values 102 and 127.5 to determine the value at this point you have to average both costs:

The cost of 4.5 inches of construction is $114.5

Answer:

Step-by-step explanation:

List the conditions as per question:

Inequality to represent the total number of pieces of sushi is:

A statement which best describes how the reasonable domain compares to the mathematical domain is that: C. the mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of any graph comprises all the input numerical values or numbers which are primarily shown on the x-axis.

Next, we would evaluate the function which represents the perimeter of this rectangle by substituting the value of 2 as follows:

f(w) = 6w – 8

f(2) = 6(2) – 8

f(2) = 12 – 8

f(2) = 4.

For the length of this rectangle, we have:

Length = 2w - 4

Length = 2(2) - 4

Length = 4 - 4

Length = 0

Therefore, the width of this rectangle must be real numbers that are greater than 2.

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Complete Question:

A rectangle has a length that is equal to 4 less than twice the width. The function for the perimeter depending on the width can be expressed with the function f(w) = 6w – 8, where w is the width of the rectangle in centimeters.

Which statement describes how the reasonable domain compares to the mathematical domain?

Both the mathematical and reasonable domains include only positive real numbers.

Both the mathematical and reasonable domains include only positive whole numbers.

The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2.

The mathematical domain includes all real numbers, while the reasonable domain includes only whole numbers greater than 2.