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Answer:

  y -5 = -3/2(x +5)

Step-by-step explanation:

The altitude from B is perpendicular to segment AC. The slope of segment AC is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3

The slope of the altitude line will be the opposite reciprocal of this, so is ...

  -1/m = -1/(2/3) = -3/2

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -5 = -3/2(x +5) . . . . . line with slope -3/2 through B(-5, 5)

_____

Additional comment

The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.

  y = -3/2x -5/2 . . . . . slope-intercept form

 3x +2y = -5 . . . . . . . standard form

Answer:

The domain of "Per Night Stay" would amount to $125 surcharge by day amounting to $3000 total cost function

Step-by-step explanation:

Step-by-step explanation:

4^2+9^2=97

Magnitude=sqrt(97)

In simplified radical form, the magnitude of the vector (4, 9) is represented as √97.

To find the magnitude of a vector (a, b), you can use the formula which is expressed as:

Magnitude = √(a² + b²)

Given the vector (4, 9), let's calculate its magnitude as shown below:

Magnitude = √(4² + 9²)

Magnitude = √(16 + 81)

Magnitude = √97

So, the magnitude of the vector (4, 9) is √97 in simplified radical form.

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Here is the remainder for both. No the remainders are not equal.

Answer:

100 meters

Step-by-step explanation:

4 sides

1 side = 25 m

25m = width as well

so just multiply 25 by 4 to get your answer

Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.

25m x 4 = 100m

So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.

Answer:

  a) 45/4

  b) 3

  c) 12

  d) 24

  e) no; rate of change varies

Step-by-step explanation:

The average rate of change on interval [a, b] is given by ...

  m = (f(b) -f(a))/(b -a)

The function values are read from the table.

__

a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4

b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3

c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12

d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24

e) Not a linear function. The rate of change is not constant.

Answer: x= -2, y= 3

Step-by-step explanation:

3x+5y=9

X-y=-5

Multiply bottom equation by 5

3x+5y=9

5x-5y=-25

3x + 5x=8x

5y-5y cancels out

9-25= -16

8x= -16

X= -2

Plug -2 back into equation of choice to find y

3(-2)+5y=9

-6+5y=9

Add -6 to both sides

-6+6 cancels

9+6=15

5y=15

Y=3

Answer:

D, milligram.

Step-by-step explanation:

In latin prefixes, kilo- means 1000, cent- means 1/10, and milli- means 1/1000. This means milli- is the shortest and therefore milligrams are the smallest measurement.

Answer:

Milligram I think

Step-by-step explanation:

I could be wrong however

Answer:

8

Step-by-step explanation:

Answer:

5.625 which is 5 5/8.

Step-by-step explanation:

Answer:

I don't know what you want to know so I assume you want to find out his miles in minutes:

Divide 40 with 60

Which is 2/3

So Max rode 2/3 miles in a minute

Step-by-step explanation:

Answer:

4 hours if going ten mph and 2 hours if going 20 mph

Answer:

10

Step-by-step explanation:

2+(2x4)

2x4=8

2+8=10

Answer:

10

Step-by-step explanation:

so we need to use PEMDAS

2×4=8

8+2=10

Answer:

15

Step-by-step explanation:3/4*20=15

C.130°

Answer:

Solution given:

no of sides(n)=6

now

total interior angle of polygon having 6 sides is

(n-2)*180=(6-2)*180=4*180=720°

we have

Sum of interior angle of polygon: 720°

130°+100°+130°+130°+100°+?=720°

590°+?=720°

?=720°-590°

?=130°

Answer:

868412

Step-by-step explanation:

434206x2=868412

Answer: The Horizontal line at 5

Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.

Hope this helps!

Answer: C

Step-by-step explanation:

Answer: 1/7

Step-by-step explanation:

You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7

The number 44 is 80% of the number 55.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the numbers are 55 and 44. The percentage will be calculated below,

55 x X% = 44

X% = ( 44 x 100 ) / 55

X% = 80%

Therefore, the number 44 is 80% of the number 55.

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Answer:

No

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

Let's assume the measurement of the second angle is x.

so, following the problem

(2x + 9) + x = 180

2x + x = 3x

=> 3x + 9 = 180

=> 3x = 180 - 9

3x = 171

x = 171/3

x = 57°

57° is the smallest angle

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

Answer:

25!

Step-by-step explanation:

Subtract the highest and lowest so its 25:)

Answer:

25

Step-by-step explanation:

Range is the largest number minus the lowest

Answer:

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Step-by-step explanation:

First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.

Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.

Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.

So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

Answer:

45 bumblebee, 30 star.

Step-by-step explanation:

2:3 = 5

75/5 = 15

15 X 2= 30

15 X 3= 45

Answer:

$1.99 is the unit price

Step-by-step explanation:

13.93 divided by 7 determines the unit price

Answer:

0.681818 miles per min

Step-by-step explanation:

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Step-by-step explanation:

Answer:

c.-2.5 ,because[2.5]=2.5

Step-by-step explanation:

I hop this is fine

Answer:

B part

Step-by-step explanation:

2.5 because |2.5| = 2.5 and it's never negative.

Hope it helps :)