Find the area of the triangle SHOW WORK

Answer:

The equation is,

[tex]y = - \frac{4}{3}x - \frac{2}{3} [/tex]

Step-by-step explanation:

When a line is parallel to the other line, they will have the same gradient :

[tex]12x + 9y = 3[/tex]

[tex]9y = - 12x + 3[/tex]

[tex]y = - \frac{12}{9} x + \frac{3}{9} [/tex]

[tex]y = - \frac{4}{3} x + \frac{1}{3} [/tex]

We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :

[tex]y = mx + b[/tex]

Let m = -4/3,

Let x = -5,

Let y = 6,

[tex]6 = - \frac{ 4}{3} ( - 5) + b[/tex]

[tex]6 = \frac{20}{3} + b[/tex]

[tex]b = 6 - \frac{20}{3} [/tex]

[tex]b = - \frac{2}{3} [/tex]

Step-by-step explanation:

19. Kim's Path = √240² + 100²

= √57600 + 10000

= √67600

= 260 ft.

Answer:

17 question: we are going to use Pythagorean Theorem :

33^2 + 56^2 = x^2

1089+3165 = x^2

4225=x^2

x=-65

x=65

the answer is c)65

18 question i dont know :((

19 question : we are going to use same method as the first question : the answer is 260 ft

that's all that i can do for you

Step-by-step explanation:

hope this helps you :)

Answer:

170.5 is the answer from the TI-84

Step-by-step explanation:

Answer:Need more infromation

Answer:

Between 26,000 and 34,000 km.

Step-by-step explanation:

95% of a data set will be within 2 standard deviations of the mean.

Therefore, the range will be from "μ - 2σ" to "μ + 2σ".

Answer:

  (x, y) = (5, 0)

Step-by-step explanation:

Maybe you're trying to solve the system ...

It is convenient to add the two equations to eliminate the y-variable.

  (3x +8y) +(2x -8y) = (15) +(10)

  5x = 25 . . . . . . simplify

  x = 5 . . . . . . . . divide by 5

Substituting into the first equation, we have ...

  3(5) +8y = 15

  8y = 0 . . . . . . . subtract 15

  y = 0 . . . . . . . . divide by 8

The solution to the pair of equations we think you want to solve is ...

  (x, y) = (5, 0)

Answer:

52 and 45

Step-by-step explanation:

Let's call the two numbers x and y.

x+y=97

x-y=7

Let's add together the two equations:

2x=104

x=52

Since 52-y=7, y must be 45. Hope this helps!

If the sum of two numbers be 97 and their difference is 7 then the first number is 52 and second will be 45.

An arithmetical value, expressed by a word representing a particular quantity and used in counting and making calculations.

let the first number is x. Because the sum of both numbers is 97 then the second number will be 97-x.

We have been given that their difference is 7 so by calculating the difference between the numbers we will get

x-(97-x)=7

x-97+x=7

2x=104

x=52

Calculating the second number through 97-x=97-52=45.

Hence the required numbers are 52 and 45.

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Answer:

D

Step-by-step explanation:

Izan can use the slope formula to show that the slope of KL and MN are equal.

Answer:

honestly quite a lot

Step-by-step explanation:

any number from 650-699, and also from 700-749

Answer:

range, 700-749

Step-by-step explanation:

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

Step-by-step explanation:

a. Randomly selecting a red card =

[tex] \frac{1}{2 } [/tex]

have 26 card choices

B. Randomly selecting a 7, 8, 9, or 10 =

[tex] \frac{4 \times 4}{52} = \frac{16}{52} = \frac{4}{13} [/tex]

(have 4*4 card choice)

C. Randomly selecting the 6 of diamonds =

[tex] \frac{1}{52} [/tex]

(only 1 card choice)

D. Randomly selecting a card that is not a king

[tex]1 - \frac{4}{52} = \frac{48}{52} = \frac{12}{13} [/tex]

1 - all possibility that can select the king

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

  8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

:)

Answer:

8 is the side length of the greater square.  100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

Answer:

70/3

Step-by-step explanation:

Your welcome :)

Step-by-step explanation:

4 / 12 = 1/3 = 0.33

0.33 x 70 = 23. 33

Answer:

A. X=6 only

Step-by-step explanation:

Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

       2y= 101 - 47

       2y=54

         y= 54/2

         y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

Answer:

20 kernels

21 Berries

Step-by-step explanation:

Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands

Kernels 4

Berries 3

Kernerls : Berries :: 4 : 3

in Garland  A  - Berries = 15

if berries  = 3  then  Kernel  = 4

=> if berries  = 1  then  Kernel  = 4/3

=> if berries  = 15  then  Kernel  = 15 * 4/3  = 20

Kernels in Garland A = 20

in Garland B  -  Kernel = 28

if Kernel = 4  Then Berries = 3

=> if Kernel = 1  Then Berries = 3/4

=> if Kernel = 28  Then Berries = 18 * 3/4 = 21

Beriies in Garland B = 21

Garland         Kernels             Berries

A                     20                   15

B                      28                   21

Answer:

Garland         Kernels             Berries

A                     20                   15

B                      28                   21

Step-by-step explanation:

Answer:

  about 76.2°

Step-by-step explanation:

The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.

  Tan = Opposite/Adjacent

  tan(angle) = (33,500/8,200)

  angle = arctan (335/82) ≈ 76.246°

The angle of elevation is about 76.2°.

Answer:13°

Step-by-step explanation:

a + b + x=180 sum of angles in a =180°

85° is alternate to a

Therefore a=85°

98° and b are supplementary angles

98+b=180

b=180-98

b=82°

Recall that

a + b + x=180

85+82+x=180

167 + x=180

Collect like terms

x=180-167

x=13°

Answer:

b

Step-by-step explanation:

Answer:

The ANOVA table and the solution are attached below

Answer:

The claim is not true

Step-by-step explanation:

We are given that A local retailer claims that the mean waiting time is less than 8 minutes.

[tex]H_0:\mu=8[/tex]

[tex]H_a:\mu<8[/tex]

A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.

[tex]\bar{x}=6.3[/tex]

s = 2.1

n = 20

Since n <30 and population standard deviation is unknown

So,we will use t test

So,[tex]t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}[/tex]

t=-3.62

α = 0.01

Degree of freedom = df=n-1=20-1=19

[tex]t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861[/tex]

t calculated < t critical

So, we failed to reject null hypothesis

Hence the claim is not true

Answer:

Step-by-step explanation:

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.

The given numbers are,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9

Mean = 153/9

Mean = 17

The median is calculated by arranging the numbers in ascending order and the middle term of the data.

8, 10, 10, 11, 16, 17, 19, 21, 41

The median is 16.

The mode is calculated as the highest repetition in the data,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mode: 10

Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

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Sometimes true. Take for example the trinomial [tex]x^2+2x-3,[/tex] which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial [tex]x+2.[/tex]

Answer:

A

Step-by-step explanation:

The name of the point represented by V is an orthocenter. Option A

A triangle's point of concurrency is its orthocenter. It is the location where the triangle's three altitudes come together.

A line segment drawn perpendicular from a triangle's vertex to the other side or its extension represents the triangle's altitude.

Usually, the letter "H" is used to indicate the orthocenter. It is a crucial point in triangle geometry and has a variety of characteristics and connections to other triangle points like the circumcenter and centroid.

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Answer: Equilateral, isosceles and scalene.

Step-by-step explanation:

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

Answer:

-66

Step-by-step explanation:

There will be $66 left after the $12 spent on lunch. 66 + -66 = 0

The number could be -66 combined with the amount left in the account to make zero.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Student has $78 in his checking account

Student spends $12 on lunch

Let, the number is x

78 + x - 12 = 0

x = - 66

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Answer:

72x^2-96x+37

Step-by-step explanation: