In given figure ,AD,BE and CF are the medians of triangle ABC. Prove that AB vector+BEVector+CF vector = 0
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Exam questions ​

{f(x) ∈ ℝ | f(x) ≥ 3}  is the range of f(x) = |x| + 3

When graphing the following equation shown below:

Answer:

{f(x) ∈ ℝ | f(x) ≥ 3}

Step-by-step explanation:

The range of a function is the output values (y-values).

Absolute value is the distance of x from zero, so it is never negative.  It is denoted by a bar on either side of the term.

Therefore, as |x| ≥ 0 then |x| +3 ≥ 3

Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}

How fast the distance between them decrease is 16mph

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

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Answer: 28 mph

Step-by-step explanation:

Answer:

400/500 people do not wear glasses.

Step-by-step explanation:

There are a total of 500 people, 100 of those people wear glasses. 500-100=400. Therefore, 400 people do not wear glasses out of the 500 people.

Answer:

500/500-100/500=400/500

I believe it is

Answer:

14/9 hours

Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9

Answer:

5 more feet

Step-by-step explanation:

iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119

Answer:

EASY-

Step-by-step explanation:

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

P.S: I anwsered it here:

https://brainly.com/question/27350649

Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.

Answer:

3 laps per day

Step-by-step explanation:

Divide 45 laps by 5 days to get how many laps they ran per day

45/5 = 9 laps per day

The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps

6-9 = 3 laps per day

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

40+20=60

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=80 gummy bears are in 4 servings

OR you can also do:

40÷2=20 gummy bears are in each serving

So, 4x20=80 gummy bears are in 4 servings

Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

fill 5L tank using 250 ml container .

how many full containers are required to fill the tank.

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

[tex]\rm n = 1.76t^2-13.32 +41[/tex]

Where n be the number of days the AQI exceeds 100 in a given year.

For [tex]\rm t = -2[/tex], then we have

[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

27.7% of third year girls study biology

Answer:

4(2x) - 8x + 4

4 × 2x = 8x

8x - 8x + 4

= 4

Done!

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

#ViolentJax~

Answer:

7 to 49

Step-by-step explanation:

The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.

Answer:

k = 7h.

Step-by-step explanation:

Each value of k is 7 times the value of h.

So k = 7h.

Answer:

50

Step-by-step explanation:

The mean splits a data set into 50-50

So the answer is 50

Answer:

4^4 + 4^4 + 4^4 + 4^4=20

4^3 + 4^3=128

I can't get the real answer

but what can

Answer:

m + 7

Step-by-step explanation:

→ Collect like terms

3.8m - 2.8m + 7

→ Simplify

m + 7

The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular flower bed in a botanical garden has a radius of 4 feet.

Then the area of the flower bed will be

Area = π r²

Area = π × 4²

Area = 16π

Area = 16 × 3.14

Area = 50.24 square feet.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

y = 3x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.

-14 = 3(-4) + b

To find b, multiply the slope and the input of x (-4)

-14 = -12 + b

Now, add 12 to both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 3x - 2

This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)

Hope this helps!

Learn with another example:

https://brainly.com/question/27121082

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

b) Circumference of circle with diameter 7 units

c) Diameter of circle with area 121π square units

d) Area of circle with circumference 20π units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

To learn more on Circles click:

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Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

Answer:

Step-by-step explanation:

First a translation then a reflection.

Answer:

208 m²

Step-by-step explanation:

[tex]16 \: m\times 13 \: m = 208 \: {m}^{2} [/tex]

Answer:

given

area of triangle = 48

height(h)=12

base(b) =‽

now,

area of triangle(a) =1/2 base×height

48=1/2 b×12

48=b×6

b=8

Answer:

1/6

Step-by-step explanation:

Answer:

24 ft^2

Step-by-step explanation:

The srface area consisists of 2 triangles and 3 rectangles.

Surface area = 2 * 1/2 *4 * 3 + 1*4 + 1*5 + 1*3

= 12 + 4 + 5 + 3

=  24 ft^2.

Answer:

The numbers are

5

and

8

Step-by-step explanation:

We know:

m

−

n

=

3

And we know:

m

+

n

=

13

Next, solve the first equation for

m

:

m

−

n

+

n

=

3

+

n

m

−

0

=

3

+

n

m

=

3

+

n

Then, substitute

3

+

n

for

m

in the second equation and solve for

n

:

m

+

n

=

13

becomes:

(

3

+

n

)

+

n

=

13

3

+

2

n

=

13

−

3

+

3

+

2

n

=

−

3

+

13

0

+

2

n

=

10

2

n

=

10

2

n

2

=

10

2

2

n

2

=

5

n

=

5

Now, substitute

5

for

n

in the solution to the first equation and calculate

m

:

m

=

3

+

n

becomes:

m

=

3

+

5

m

=

8

The solution is:

n

=

5

and

m

=

8

[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]