Determine if JK and LM are parallel, perpendicular, or neither.
The slope of JK is -4
The slope of LM is 1/4

Answer:

.475

Step-by-step explanation:

This is the Ansewer

Answer:

x=2, x=7

Step-by-step explanation:

-3x^2+27x=42

x^2-9x=-14

x^2-9x+14=0

x*(x-2)-7(x-2)=0

(x-2)*(x-7)=0

x-2=0

x-7=0

x=2

x=7

Answer:

the second one

Step-by-step explanation:

jus took da test

The equation of the axis of symmetry is [tex]\mathbf{x =1}[/tex], the value of a is 2, and the value of c is 1.

The function is given as:

[tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]

Line L is represented as:

[tex]\mathbf{(x,y) = (-1,5)(3,5)}[/tex]

Substitute the above values in: [tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]

So, we have:

[tex]\mathbf{5 = a(-1)^2 - 4(-1) - c}[/tex]

[tex]\mathbf{5 = a(3)^2 - 4(3) - c}[/tex]

Expand [tex]\mathbf{5 = a(-1)^2 - 4(-1) - c}[/tex]

[tex]\mathbf{5 = a + 4 - c}[/tex]

Expand [tex]\mathbf{5 = a(3)^2 - 4(3) - c}[/tex]

[tex]\mathbf{5 = 9a - 12 - c}[/tex]

Subtract [tex]\mathbf{5 = a + 4 - c}[/tex] and [tex]\mathbf{5 = 9a - 12 - c}[/tex]

[tex]\mathbf{5 - 5 = a - 9a + 4 + 12 -c + c}[/tex]

[tex]\mathbf{0 = - 8a + 16}[/tex]

Collect like terms

[tex]\mathbf{8a = 16}[/tex]

Divide both sides by 8

[tex]\mathbf{a = 2}[/tex]

Substitute [tex]\mathbf{a = 2}[/tex] in [tex]\mathbf{5 = a + 4 - c}[/tex]

[tex]\mathbf{5 = 2 + 4 - c}[/tex]

[tex]\mathbf{5 = 6 - c}[/tex]

Subtract 6 from both sides

[tex]\mathbf{-1 = - c}[/tex]

So, we have:

[tex]\mathbf{c = 1}[/tex]

Recall that:

[tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]

Where:

[tex]\mathbf{a = 2}[/tex] and [tex]\mathbf{b = -4}[/tex]

The equation of the axis of symmetry is:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

So, we have:

[tex]\mathbf{x = -\frac{-4}{2 \times 2}}[/tex]

[tex]\mathbf{x = -\frac{-4}{4}}[/tex]

[tex]\mathbf{x =1}[/tex]

Hence, the equation of the axis of symmetry is [tex]\mathbf{x =1}[/tex], the value of a is 2, and the value of c is 1.

Read more about equations and graphs at:

https://brainly.com/question/19999113

Answer:

C. y>2x+1

Step-by-step explanation:

The dashed line automatically means it's either A. or C. because a dashed line indicates it is greater than or less than rather than greater than/ equal to or less than/equal to. Those would have a solid line graphed. The line also has a y-intercept or 1 which means C. is obviously the correct answer.

Answer:

1,000,000,000

Step-by-step explanation:

Answer:

1,000000000

Step-by-step explanation:

10/10000000000 (Divide By 10)

= 1000000000 (Take one 0 away)

Answer:

6 units

Step-by-step explanation:

because since AC is 24 units long, and BC is half of AC, then that would be 12 units, and since DC is half of BC, then that would be six units.

9514 1404 393

Answer:

  E.  36.8 ft

  F.  59 ft

  G.  3.5 ft or 114.5 ft

Step-by-step explanation:

E. Put x=60 in the equation and do the arithmetic.

  h = -0.01·60^2 +1.18·60 +2 = -36 +70.8 +2 = 36.8

The height is 36.8 feet when the ball is 60 feet downfield.

__

F. The vertex of expression ax^2 +bx +c is x = -b/(2a). Here, that is ...

  x = -(1.18)/(2(-0.01)) = 59

The ball has traveled 59 feet downfield when it reaches its maximum height.

__

G. To find the downfield distance for a height of 6 feet, we set h=6 and solve for x.

  6 = -0.01x^2 +1.18x +2

  0.01x^2 -1.18x +4 = 0 . . . put in standard form

  x^2 -118x +400 = 0 . . . . . multiply by 100 to get rid of decimals

  x = (118 ± √(118² -4(1)(400)))/(2) = 59 ±√3081

  x ≈ 59 ± 55.5 ft = {3.5 ft, 114.5 ft}

The ball will be 6 ft high at distances of 3.5 and 114.5 ft downfield.

Step-by-step explanation:

2 x 2 + x - 4 = 0

4 + x - 4 = 0

+4 +4

8 0

8 + x = 0

8 8

x = 0

For the - 4 + 4 part, it cancels out because it's 0 and for the 8 divided by 8 part, it cancels out too. x is 0 because 0 divided by 8 is 0.

Hope this helped!

Answer:

C

Step-by-step explanation:

|25|/10 - |10|/6 = |5|/6= 5/6

the absolute value of positive number is positive.

Answer:

90 degrees.

Step-by-step explanation:

Answer:

B, C, D, A

Step-by-step explanation:

A -- 2.47 = 2.47

B -- 12/15 = 0.8

C -- √3 = 1.732050808

D -- 2 = 2

Ans: 12/15, √3, 2, 2.47

**Hope this helps!

Answer:

5 and 24

Step-by-step explanation:

1) replace the x's with 125 | c(x)=120+4(125)/(125)

620/125=5 simplify numerator

x=5

2) replace c(x) with 9 | 9=120+4x/x

9x=4x+120 multiply both sides by x

9x-4x=4x+120-4x subtract both sides by -4x

5x=120 divide both sides by 5

x=24

so, it costs about 5 dollars per book when 125 are printed

and, if it costs 9 dollars per book, 24 should be printed

The given function for the cost of printing is a linear function that has a

fixed (set up) cost and a variable cost component.

The correct responses are;

Reasons:

Given that the function for the cost of printing x books is; c(x) = 120 + 4·x, we have;

1. The cost of printing 125 books is c(125) = 120 + 4 × 125 = 620

2. The amount the author plans to charge per book = $9

The number of books, n, that should be printed is given as follows;

[tex]\displaystyle 9 = \mathbf{ \frac{120 + 4 \times n}{n}}[/tex]

Which gives;

9·n = 120 + 4·n

9·n - 4·n = 120

5·n = 120

[tex]\displaystyle n = \frac{120}{5} = \mathbf{24}[/tex]

The number of books that should be printed, n ≥ 24 books

Learn more about linear functions here:

https://brainly.com/question/2855816

Answer:

the number = 8/5 or 1 3/5 or 1.6

Step-by-step explanation:

n = the number

5/2n - 11 = 4

5/2n - 11 + 11 = 5 / 2n

5/2n = 4

5/2n / 5/2 = n

4 / 5/2 = 8/5

Answer:

2.25 feet

Step-by-step explanation:

The length of the remaining piece of board will be 2 feet 3 inches.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide.

The length of the remaining part is calculated as below:-

10 foot = 10 x 12 = 120 inches

4 feet 7 inches = (4 x 12) + 7 = 48 + 7 = 55 inches

3 feet 2 inches = ( 3 x 12 ) +2 = 36 + 2 = 38 inches

Remaining length = 120 - 55 - 38 = 27 inches

                             = 24 + 3 = 2 feet 3 inches.

Therefore, the length of the remaining piece of board will be 2 feet 3 inches.

To know more about Expression follow

brainly.com/question/723406

#SPJ6

Answer:

d

Step-by-step explanation:

The variables are the number of clarinet players grade number and type of instrument. The correct option is D.

A variable in mathematics is a sign and placeholder for a variable quantity or another mathematical object. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

Given that the band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet.

The variables are the number of clarinet players grade number and type of instrument.

Therefore, variables are the number of clarinet players grade number, and type of instrument. The correct option is D.

To know more about variables follow

https://brainly.com/question/25223322

#SPJ6

Answer:

C.-4/5

Step-by-step explanation:

(y2-y1)/(x2-x1) <--- EQUATION

Plug your numbers in and solve it (there are also slope calculators you can plug it into)

Answer:

The answer is C hope this helps

Answer:

3.2 inches

Step-by-step explanation:

We know that the original painting was 10 inches wide by 16 inches tall.

Our new painting is 2 inches wide by x inches tall.

So, we can write the following proportion:

[tex]\frac{10}{16}=\frac{2}{x}[/tex]

The numerator represents the widths, and the denominator represents the lengths.

Also, note that we align vertically the original and new dimensions.

So, to find our new height, solve for x.

First, we can reduce the fraction on the left:

[tex]\frac{5}{8}=\frac{2}{x}[/tex]

Cross multiply:

[tex]16=5x[/tex]

Divide both sides by 5:

[tex]x=16/5=3.2[/tex]

So, our new height is 3.2 inches.

And we're done!

Answer/Step-by-step explanation:

a. To construct a stem-and-leaf plot for the given sample data, 7, 13, 28, 12, 16, 23, 13, 49, 18, 11, 9, 27, 36, 18, 15, 11, 32, 22, 19, 21, first, order the data from the least to the greatest.

7, 9, 11, 11, 12, 13, 13, 15, 16, 18, 18, 19, 21, 22, 23, 27, 28, 32, 36, 49

The plot would like the one shown below:

Stem | Leaf

0 | 7, 9

1 | 1, 1, 2, 3, 3, 5, 6, 8, 8, 9

2 | 2, 3, 7, 8

3 | 2, 36

4 | 9

Key:

13 = 1 | 3

b.

i. Mean = (7 + 9 + 11 + 11 + 12 + 13 + 13 + 15 + 16 + 18 + 18 + 19 + 21 + 22 + 23 + 27 + 28 + 32 + 36 + 49)/20

Mean = 400/20

Mean = 20

ii. Median = average of the 10th and 11th data value

Median = (18 + 18)/2 = 36/2

Median = 18

iii. Range = max value - min value

Range = 49 - 7

Range = 42

iv. Standard deviation for sample data is given as [tex] s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} [/tex]

Where,

[tex] \overline{x} = sample mean = 20 [/tex]

[tex] x_i = each value of the sample data [/tex]

N = total number of values in the sample = 20

Let's solve:

First, calculate [tex] (x_i - \overline{x})^2 [/tex] for each data value:

7 => (7 - 20)² = (-13)² = 169

9 => (9 - 20)² = (-11)² = 121

11 => (11 - 20)² = (-9)² = 81

11 => (11 - 20)² = (-9)² = 81

12 => (12 - 20)² = (-8)² = 64

13 => (13 - 20)² = (-7)² = 49

13 => (13 - 20)² = (-7)² = 49

15 => (15 - 20)² = (-5)² = 25

16 => (16 - 20)² = (-4)² = 16

18 => (18 - 20)² = (-2)² = 4

18 => (18 - 20)² = (-2)² = 4

19 => (19 - 20)² = (-1)² = 1

21 => (21 - 20)² = (1)² = 1

22 => (22 - 20)² = (2)² = 4

23 => (23 - 20)² = (3)² = 9

27 => (27 - 20)² = (7)² = 49

28 => (28 - 20)² = (8)² = 64

32 => (32 - 20)² = (12)² = 144

36 => (36 - 20)² = (16)² = 256

49 => (49 - 20)² = (29)² = 841

Next, calculate [tex] \sum_{i=1}^N (x_i - \overline{x})^2 [/tex] by summing all results gotten above:

= 169 + 121 + 81+ 81 + 64 + 49 + 49 + 25 + 16 + 4 + 4 + 1 + 1 + 4 + 9 + 49 + 64 + 144 + 256 + 841

= 2,032

Next, find [tex] \frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2 [/tex] by dividing the result you have above by (N - 1):

[tex] \frac{2,032}{N - 1} = \frac{2,032}{20 - 1} [/tex]

[tex] \frac{2,032}{19} = 106.947368 [/tex]

Next, calculate [tex] s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} [/tex] by finding the square root of the result you have above:

[tex] s = \sqrt{106.947} [/tex]

[tex] s = 10.34 [/tex] (to 2 d.p)

v. Interquartile Range (IQR) = Third Quarter (Q3) - First Quartile (Q1)

Q1 = (12 + 13)/2 = 25/2 = 12.5

Q3 = (23 + 27)/2 = 50/2 = 25

IQR = 25 - 12.5

IQR = 12.5

c. The distribution of the number of horses nominated for each race in the sample is slightly down-skewed. This indicates that most of lower number of horses nominated for each race in the sample chosen are more common. Most of the data values are below the mean value of 20. Also, the median shows the median number of horses selected to be 18, indicating a lower number.

With the distribution having a range value of 42, extreme value such as 49, seem to be an outlier, as it does not reflect the typical number of horses selected in each race, which are mostly lower.

Answer:

c hope this helps

Step-by-step explanation:

Answer:

6[tex]\sqrt{5}[/tex] or approximately 13.416407865

Step-by-step explanation:

List all of the factors of 180.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Find the perfect squares from the list such as:

1, 4, 9 and 36

Choose the biggest one and divide 180 by it.

180 / 36 = 5

Calculate the square root of your square number

[tex]\sqrt{36}[/tex]=6

Your answer is 5[tex]\sqrt{6}[/tex] (in its simplest radical form)

If you wanted to calculate the answer as a decimal, 5 x [tex]\sqrt{6}[/tex] = approximately 13.416407865

Step-by-step explanation:

right angled triangle......

Answer: The numerator simplified is equal to 2^9. This is because you add the exponents to simplify. The denominator is also equal to 2^9 because you multiply the exponents to simplify. 2^9 divided by 2^9 equals 1.

Step-by-step explanation:

Answer:

It is equal to 1 because: 2^4 is 16, 2^5 is 32, 16 times 32 is 512. 2^3 is 8, 8^3 is 512. 512/512 is 1.

I hope this helps!

Answer:

  A.  There is no solution

Step-by-step explanation:

The shaded regions do not overlap. The solution space is in the region of overlap, so there is no solution.

Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.

Answer:

is this all?

Step-by-step explanation:

Answer:

i think you should put the answer of 8.98

Step-by-step explanation: