Explain why a vertical line is said to have undefined slope or no slope.

answer B or 1/6  should be right.

Answer:  The correct option is

(B) [tex]\dfrac{1}{6}.[/tex]

Step-by-step explanation:  We are given to find the slope of the straight line shown in the graph.

From the graph, we see that the line passes through the points (-6, 3) and (12, 6).

The SLOPE of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]

Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]

Option (B) is CORRECT.

There is only one solution to the equation.  A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive.  Area= side^2

              400= x^2

         sqrt(400)=x

          20 inches = x  

The length of one side is 20 inches

check: 20*20 = 400, which is the area of the square painting.

Whole numbers are a subset of integers, which in turn are a subset of rational numbers.

So, every whole number is an integer, and every integer is a rational number.

So, it is possible for a rational number not to be an integer. Think of any decimal number: 1.356 is a rational number, but it's not an integer.

On the other hand, if a number is not an integer, it can't be a whole number, because all whole numbers are integers.

48 children and 96 adults

let x be the number of children then number of adults = 2x and

x + 2x = 144

3x = 144 ( divide both sides by 3 )

x = [tex]\frac{144}{3}[/tex] = 48

There are 48 children and ( 2 × 48 ) = 96 adults

There are 48 children and 96 adults in line.

To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.

Mode means MOST.  Which number is displayed the most?

39, 43, 43, 50, 55, 61, 75, 78, 78, 78

Answer: 78

Note: I placed the data set into numerical order because it will help you to easily find the mode and also the median (middle number).

The fourth graph represents the function.

We have to rewrite the given function into the standard form of a parabola.

A parabola is a U-shaped plane curve that is symmetrical about its vertex.

The standard form of a parabola is given by:

y = (x-h)²+k

Where (h,k) is the vertex of the parabola.

f(x) = x²+2x-1

We can rewrite this as:

f(x) = x²+2x+1-2

f(x) =( x+1)²-2

Now compare this with the given graphs. The only graph that has its vertex at (-1,-2) is the fourth graph.

We have found the graph that represents the function f(x) = x²+2x-1 to be the fourth graph.

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Answer:

Present age of john= 24 years

Let Shane's age= x years

 Two years ago

John's age = 24-2= 22 years

Shane's age = (x-2) years

  Writing in terms of equation,to the above statements

⇒22= 2(x-2)

⇒22= 2 x- 4

⇒22+4 = 2 x

⇒ 2 x= 26

⇒ x= 26÷2

⇒ x =13

Present age of son = 13 years

Answer:

Distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh

Explanation:

Distance traveled by a body = Velocity of the body * Time taken by the body

Here velocity of Sierra =  2x miles per hour

Time taken by Sierra = h hours.

Distance traveled by Sierra = 2x * h = 2xh

So distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh

D

area of a rectangle = length × width

area = (2x + 3)(x - 4) ( expand using FOIL )

       = 2x² - 8x + 3x - 12 = 2x² - 5x - 12 → D

Let

x-----------> the length of the rectangular corral

y-----------> the width of the rectangular corral

we know that

the area of the rectangular corral is equal to

[tex]A=x*y\\ A\geq 29,040\ ft^{2}[/tex]

so

[tex]x*y \geq 29,040[/tex] -------> inequality A

the perimeter of the rectangular corral is equal to

[tex]P=2x+y\\P \leq 1,364 ft[/tex]

so

[tex]2x+y \leq 1,364[/tex] -----> inequality B

using a graphing tool --------> resolve the compound system inequalities

see the attached figure

the solution is the shaded area

so

the length of 650 feet does  meet the requirements of the runners corral

and the width is 64 ft-------> see the graph

the answer is

a) the length of 650 feet does  meet the requirements of the runners corral

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

[tex]\frac{144}{8}[/tex] = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m

Answer: 324 cm

Step-by-step explanation:

  6 :   8 :   4

x18 x18  x18

108  144   72

108 + 144 + 72 = 324

Problem 1

Plug in x = 0 and solve for y to get the y intercept

6x+12y = 60

6(0)+12y = 60

12y = 60

12y/12 = 60/12 ... divide both sides by 12

y = 5

Answer: A) 5

======================================

Problem 2

Use the slope formula.

The two points are (x,1, y1) = (1, -1) and (x2, y2) = (-2, 8)

m = (y2-y1)/(x2-x1)

m = (8-(-1))/(-2-1)

m = (8+1)/(-2-1)

m = 9/(-3)

m = -3

Answer: A) -3

The selling price of the jacket, after the store increases its purchasing price by 80%, is $36.

The subject of this question is mathematics, specifically a practical application of percentages. The store buys the jacket for $20 and then increases the sale price by 80% for its customers. First, to calculate the 80% of the cost price, you multiply 20 (the cost price) by 0.80 (the percentage increase represented as a decimal). This results in $16. The selling price is then calculated by adding this calculated value to the original cost price which gives us $20 + $16 = $36. So, the store sells the jacket for $36.

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ANSWER

Yes it is very true

EXPLANATION

If the two equations intersect at [tex](50,60)[/tex] then this point must satisfy the two equations.

[tex]3x+2y=270---(1)[/tex]

We substitute  [tex](50,60)[/tex]  in to erquation (1)

[tex]3(50)+2(60)=270[/tex]

[tex]150+120=270[/tex]

[tex]270=270[/tex]

[tex]y=\frac{4}{5}x+20 ---(2)[/tex]

We now substitute  [tex](50,60)[/tex]  in to erquation (2) also

[tex]60=\frac{4}{5}(50)+20[/tex]

[tex]60=40+20[/tex]

[tex]60=60[/tex]

Since the point satisfy all the two equations, it is true that they intersect at [tex](60,50)[/tex]

Answer:

6 appointments are cancelled per day

Step-by-step explanation:

Question says  4 out of 24 appointments are cancelled.

It means out of 1 appointment , the cancelled appointments = [tex]\frac{4}{24}[/tex]

=[tex]\frac{1}{6}[/tex]

Now the questions says each day there are 36 appointments

And we have to find how many appointments got cancelled each day,

It means we have to find how many appointments got cancelled out of 36 appointments each day

So we multiply 36  by [tex]\frac{1}{6}[/tex]

=[tex]36 * \frac{1}{6}[/tex]

= 6

Hence , 6 appointments got cancelled each day.

Jasmine has 6 appointments cancelled per day, determined by scaling the given cancellation ratio (4 out of every 24) to match the number of daily appointments she books (36).

To answer this question, we first need to understand the rate at which appointments are cancelled. The problem states that 4 out of every 24 appointments are cancelled. To find out how many appointments are cancelled each day, we use this ratio and apply it to the 36 appointments that Jasmine books each day.

First, we need to scale the ratio to match Jasmine's daily bookings. To do this, we multiply the numerator and denominator of the ratio by 36/24, which is 1.5. This gives us a new ratio of 6 cancellations for every 36 appointments.

So, each day, out of the 36 appointments that Jasmine books, 6 appointments are cancelled.

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Answer:

Value of house in 2017  = 231525$

Explanation:

 At the start of 2014 worth of Lucy's house = 200000$

 Rate of increase of the value of the house = 5% = 0.05

 Value of house in 2015 = 200000+0.05*200000 = 210000$

 Value of house in 2016 = 210000+0.05*210000 = 220500$

 Value of house in 2017 = 220500+0.05*220500 = 231525$

 Number of years in between 2014 and 2017 = 2017 - 2014 = 3 years.

 Value of house in 2017 [tex]=200000*1.05^3=231525$[/tex]

Step 1. Simplify 1/3x to x/3

-x/3 > 5

Step 2. Multiply both sides by 3

-x > 5 * 3

Step 3. Simplify 5 * 3 to 15

-x > 15

Step 4. Multiply both sides by -1

x < -15

Your answer is A.

Answer:

(A) OE

Step-by-step explanation:

From the given figure, it can be seen that TG and LI are the chords of the circle with center O such that TG=LI=10.4 which means that TG is congruent to LI.

Also, OE and OH gives the shortest distance(perpendicular) of the chord LI and TG respectively from center of circle O.

And, We know that "the congruent chords are equidistant from the center of a circle."

Therefore, we can conclude that, OH is congruent to OE.

Hence, option (A) is correct.

From the figure we can conclude that OH is congruent to OE.

Further Explanation:

Given:

The options are as follows,

A. OH is congruent to OE.

B. OH is congruent to OE.

C. OH is congruent to OE.

D. OH is congruent to OE.

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

A ray is defined as the distance between the two points that extends to infinite in one direction.

Plane extends in two dimensions.

The length of TG and LI is [tex]10.4{\text{ units}}.[/tex]

LI and TG are the chords of the circle with same length.

OE and OH are the perpendicular bisector of the chords LI and TG respectively.

The given chords of the circle are equidistant from the center of the circle.

From the figure we can conclude that OH is congruent to OE.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant,  

13,501 rounded to the nearest ten thousand is 14,000. This is because if you look at the 3, the number next to it is 5, causing it to round up. Numbers 0-4 are rounded down, and numbers 5-9 are rounded up.

Answer:

10,000

Step-by-step explanation:

When we round a number to the nearest ten thousand we check the digit at the thousand place,

If the digit ≥ 5,

The number is rounded to next ten thousand,

If the digit < 5,

The number is rounded to previous ten thousand.

Here, the given number,

13,501,

Digit at thousand place = 3 ( < 5 )

Thus, 13,501 ≈ 10,000 ( nearest ten thousand )

Answer: c - 9

Step-by-step explanation: i did the quiz and this is the right answer

5 units right: x + 5

1 unit up: y + 1

(x, y) → (x + 5, y + 1)

(4, 2) → (4 + 5, 2 + 1) = (9, 3)

(3, 7) → (3 + 5, 7 + 1) = (8, 8)

[tex]\begin{array}{ccc}\ \ x&y\end{array}\ \ \ \ \begin{array}{ccc}\ \ x&y\end{array}\\\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]=\left[\begin{array}{ccc}9&3\\8&8\end{array}\right][/tex]

Answer:

[tex]\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right][/tex]

"Less than" means subtraction

The order they appear in tells me to subtract 9 from N.

n - 9

Final answer:

To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.

Explanation:

To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.

First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.

Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5

Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13

Therefore, Joe and Sarah have a total of 13 Dalmatians together.

Use [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](2x+3)^2=(2x)^2+2(2x)(3)+3^2=4x^2+12x+9[/tex]