Find the value of x in the parallelogram.

Answer:

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ LAMP is a square

∵ The sides of the square are equal in lengths

∴ LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

∴ x1 = -2 and y1 = -3

∴ x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]

∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]

→ Simplify the root

∴ LA = 2[tex]\sqrt{10}[/tex] units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]

∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]

∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Answer:

Linear

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

975-828.75/975

Answer:

There was a 15% mark down.

Step-by-step explanation:

975 x 0.15 (15%) = 146.25

828.75 + 146.25 = 975

Check Work:

975 - 146.25 = 828.75

Step-by-step explanation:

No we can't travel faster than speed of light as it is the fastest

Chlorophyll is a pigment that absorbs light of particular wavelengths (mainly blue and red) .Chlorophyll in green plants spread out on stacks of membranes in chloroplasts.

Dark matter ia a material that we cannot see but we know that it exists because of it's effect on the objects and it is composed of particles that do not absorb,reflect or emit light.

Answer:

1. Dark matter is material that don't seen directly, it neither absorb anything, neither reflect and emit light.

2. No there is nothing which can travel faster than light.

3. In simple language, chlorophyll is those pigment which is present in all green plants and mainly responsible for the process of photosynthesis

Step-by-step explanation:

1.We can say there is dark matter but the only problem is we don't have any access to see it.

2.there is nothing faster than light because speed of light and time doesn't exist beyond any point.

Answer:

8. Number of student tickets = 460

Number of teacher tickets = 100

9. Speed of plane = 727.5 km/hr

Speed of wind = 48.5 km/hr

Step-by-step explanation:

8.

Let number of students' tickets = [tex]x[/tex]

Let number of teachers' tickets = [tex]y[/tex]

Total number of tickets = 480

[tex]x+y=480[/tex] ...... (1)

Price for one student's ticket = $1

Price for one teacher's ticket = $5

Total money collected by the tickets = $560

[tex]x +5y = 560[/tex] ...... (2)

Subtracting (1) from (2):

[tex]4y = 80\\\Rightarrow y = 20[/tex]

By equation (1):

[tex]x = 460[/tex]

Number of student tickets = 460

Number of teacher tickets = 100

9.

Let the speed of airplane in still air = [tex]u[/tex] km/hr

Let the speed of air = [tex]v[/tex] km/hr

Total distance = 5432 km

Time taken with the wind = 7 hours.

Speed with the wind = [tex]u+v[/tex] km/h

Time taken against the wind = 8 hours.

Speed with the wind = [tex]u-v[/tex] km/h

Using the formula:

Distance = Speed [tex]\times[/tex] Time

[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]

[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]

Adding (1) and (2):

[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]

By equation (1):

[tex]v = 48.5\ km/hr[/tex]

Speed of plane = 727.5 km/hr

Speed of wind = 48.5 km/hr

Answer:

V = x³ - 3x² + 3x - 1

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side )

Here s = x - 1 , thus

V = (x - 1)³

   = (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL

   = (x - 1)(x² - 2x + 1) ← distribute

   = x³ - 2x² + x - x² + 2x - 1 ← collect like terms

   = x³ - 3x² + 3x - 1

Answer:

Formula:(from trigonometry)

Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)

Let A=22 degrees,B=23 degrees

Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)

From trigonometry we know tan45=1

Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)

=> 1-tan22tan23=tan22+tan23

=> tan22+tan23+tan23tan22 =1

Hence proved

Answer:

your photo is not visible for me

Answer:

54

Step-by-step explanation:

11x=26=180

x=14

8x+p+14=180

p=54

Answer:

yes

Step-by-step explanation:

[tex]\frac{42}{33}[/tex] = [tex]\frac{14}{11}[/tex] and [tex]\frac{28}{22}[/tex] = [tex]\frac{14}{11}[/tex]

Both reduce to [tex]\frac{14}{11}[/tex] and form a proportion

Answer:

All systems have 2 real solutions.

Step-by-step explanation:

there are X and Y unknowns.

Answer:

I think it is C.

Step-by-step explanation:

Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

Answer:

Step-by-step explanation:

diameter = 2r  

where r = 9.8

plugin value of r = 9.8 into the formula:

diameter = 2(9.8)

               = 19.6 units

The length of the diameter of the circle is option D 19.6 units.

Diameter is defined as the line from one point in the circle to the other point through the center of the circle.

WE know that the diameter = 2r  

where r = 9.8

Substitute value of r = 9.8 into the formula:

The diameter = 2(9.8)

The diameter = 19.6 units

Hence, the length of the diameter of the circle is option D 19.6 units.

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

A rectangular pool has a sidewalk around it. Width of the sidewalk is 1 feet.

Given

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet.

Let 'w' be the width of sidewalk

The pool measures 6 feet by 10 feet . The width of the rectangular pool with side walk is 6+x+x=6+2x

The length  of the rectangular pool with side walk is 10+2x

The total area of the pool and side walk is length times width

Total area= [tex](6+2x)(10+2x)\\[/tex]

[tex]96=(6+2x)(10+2x)\\96=60+32x+4x^2\\60+32x+4x^2-96=96-96\\4x^2+32x-36=0[/tex]

apply quadratic formula to solve for x

[tex]x=\frac{-32\pm \sqrt{32^2-4\cdot \:4\left(-36\right)}}{2\cdot \:4}\\x=\frac{-32\pm \:40}{2\cdot \:4}\\x= \frac{-32+40}{2\cdot \:4}=1\\x=\frac{-32-40}{2\cdot \:4}=-9[/tex]

Width of the sidewalk cannot be negative

so the width of the sidewalk is 1 feet

Learn more :  brainly.com/question/21860114

Answer:

3.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Its A which ever is the one that is full

Answer:

3.07×10^8

Step-by-step explanation:

:)

hope this helps

Answer: 307,000,000 in scientific notation is 3.07 × 10^8.

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

[tex]x+y=30[/tex]       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

[tex]4x-y=20[/tex]        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations [tex]x+y=30[/tex] and [tex]4x-y=20[/tex].

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

Answer:

-7/-9 pretty sure

Step-by-step explanation:

x2-x1

y2-y1

3-10= -7

1-10= -9

Answer:

10

Step-by-step explanation:

So I belive the answer consists of- 18 divided by 4 equals 4.5 and 45 divided by 4.5 is 10 so ten should be your answer.

Answer:

b

Step-by-step explanation:

Answer:

the answer is D

Answer: 4x² + 3x + 8

Work: I combined Like Terms, put them in the right form, from the x² to the number.

I hope this helps and Happy Holidays! :)

Answer:

25

Step-by-step explanation:

3+2=5×2 ×2 +5=25

add the 10 to the other 10 and then add 5

Answer: There is not enough info and I can't see  because the picture is not clear enough. Sorry. :(

Merry (early) Christmas tho! :)

Answer:

− x+9

Step-by-step explanation:

−

7

7

+

9

{\color{#c92786}{\frac{-7x}{7}}}+9

7−7x​+9

−

+

9=−

+

9