A'B'C is a translation of ABC. what is the length?​

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Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

  CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².

Answer:

y - 6 = 2(x + 4)

Step-by-step explanation:

Point slope form is y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex]).

[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that they give you in the problem, which is (-4, 6), and m is the slope, which is 2.

When you plug everything in, you should get

y - 6 = 2(x + 4).

Answer:

120

Step-by-step explanation:

first, divide 48 by 2 since its 2.5. since theres a half. then you do 48+48+24. you double 48 and then add the half(which is 24) and that equals 120

hope this helpsss

Answer:

1.1     Solve   x-3y+7  = 0

recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y+7  = 0 and calculate its properties

Step-by-step explanation:

The anser is in the screenshots

Answer: Solution: (-4, 1)

Step-by-step explanation:

x = 3y - 7

4x + 5y = -11

Substitute x for 3y - 7

4x + 5y = -11

4 (3y - 7) + 5y = -11

12y - 28 + 5y = -11

17y - 28 = -11

Add 28 to both sides

17y = 17

y = 1

x = 3y - 7

x = 3(1) - 7

x = 3 - 7

x = -4

Solution: (-4, 1)

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

x^2 - 10x = - 8

Now x^2 - 10x = (x - 5)^2 - 25, so

(x - 5)^2 - 25 = -8

(x - 5)^2 = -8 + 25

x^2 - 10x + 25 = 17..

Answer:

The first person that told the answer has it correct so beleive the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 4 yards 2 ft

Step-by-step explanation:

1 yard = 3 feet

8 yards - 3 yards = 5 yards - 1 yard = 4 yards

3 ft + 1 ft - 2ft = 2 ft

answer is 4 yards 2 feet

Answer:

You would show it by creating a XY graph and labelling the Y axis as the hours and the X axis as the distance. Some points are (1,60), (2,120), and (3,180).

Step-by-step explanation:

NOT MAKING THE GRAPH BUT:

ADULT

If 145 = 100%, the ratio is 1% : 1.45.  

57/1.45 = 39.3103448%

88 / 1.45 = 60.6896552%

CHILD

108:100 = 1.08 : 1%

77 / 1.08 = 71.2962963%

31 / 1.08 = 28.7037037%

Answer:

T(3) = 21

Step-by-step explanation:

To find the third term, substitute n = 3 into T(n) , that is

T(3) = 2(3)² + 3 = 2(9) + 3 = 18 + 3 = 21

Answer:

A = (1, 4)

Step-by-step explanation:

Given :

Square numbers include : 1², 2², 3², 4²,...

x|x square numbers less than 5

1² = 1

2² = 4

3² = 9 (not applicable)

Square numbers less than 5 are ; 1, 4

Hence,

Set A = (1, 4) where, x|x square numbers less than 5

A = (1, 4)

Answer:

(4, 2 ) and (5, - 4 )

Step-by-step explanation:

(3)

6x + 2y = 28 → (1)

x = 2y → (2)

Substitute x = 2y into (1)

6(2y) + 2y = 28

12y + 2y = 28

14y = 28 ( divide both sides by 14 )

y = 2

Substitute y = 2 into (2) for corresponding value of x

x = 2(2) = 4

solution is (4, 2 )

(4)

x + y = 1 → (1)

2x + y = 6 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 6 - 2x → (3)

Substitute y = 6 - 2x into (1)

x + 6 - 2x = 1

- x + 6 = 1 ( subtract 6 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Substitute x = 5 into (3) for corresponding value of y

y = 6 - 2(5) = 6 - 10 = - 4

solution is (5, - 4 )

Answer:

5

Step-by-step explanation:

h(x) h(2)

h(x)=x^2-3. h(2)=2^2-3

g(h(2) g(h(2)=5

Answer:

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Explanation:

Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.

The prepositions in the given sentences are underlined as follows-

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

Answer:

Answer:

the length of the base of the pyramid =2×58=116

since the mid segment line from the midpoint is half of the third one.

Answer:

the length of the base of the pyramid =2×58=116

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1

Step 1

We find the number of girls and boys

The ratio is given as:

Girls : Boys

3:1

The sum of Proportion = 3 + 1 = 4

The number of girls

= 3/4 × 60 children

= 45 girls

The Number of boys

= 1/4 × 60 children

= 15 boys

Step 2

From the question, we are told:

3/5 of the girls play a musical instrument.

The number of girls that play Instruments is calculated as:

3/5 × Number of girls

= 3/5 × 45 girls

= 27 girls

4/5 of the boys play a musical

instrument.

The number of boys that play Instruments is calculated as:

4/5 × Number of boys

= 4/5 × 15 boys

= 12 boys

Step 3

The fraction of the 60 children that play a musical instrument is calculated as:

Sum of boys and girls that play a musical instrument/ 60 children

= 27 girls + 12 boys/60

= 39/60

= 3/20

The fraction of the 60 children that play a musical instrument is 3/20

Answer:

The percent of change 200%.

Hope that helps！

Step-by-step explanation:

Answer:

Its a 200% change i believe, hope you have a nice day!

Answer:

y=x is the equation also represents that relationship.

Answer:

[tex]y=x^{2}[/tex]

Step-by-step explanation:

This is a quadratic function. 2x2=4, (-2)x(-2)=4, (-1)x(-1)=1, and 1x1=1. So, the function represented by the graph is y=[tex]x^{2}[/tex]

Answer:

$12.3

Step-by-step explanation:

Given data

We are given that the function for the charge is expressed as

y=0.8x+3

Where y is the total cost for a ride

X is the distance of the ride

Say x= 12 miles

Hence the total cost of the ride is

Y= 0.8*12+3

Y= 9.6+3

Y= $12.3

Hence a 12 miles Distance will cost $12.3

Answer: his answer is right

Step-by-step explanation:

Answer:

Michael took his 6th sip at 4 : 05

Step-by-step explanation:

Duration in which Michael takes a sip of water = 20 minutes

Therefore, he will take his sixth sip after (20 × 6) = 120 minutes Or after 2 hours

If he takes first sip of water at 3 : 05

Then he will take his sixth sip at ( 3 : 05 + 2 : 00)

Time at his sixth sip = 5 : 05

Answer:

C

Step-by-step explanation:

4 quartz per gallon

4 x 22 = 88 Containers

Answer:

c

Step-by-step explanation:

Answer:

x > 17

Step-by-step explanation:

x > 17

The open circle means that it is not equal to 17. The shaded area to the right represents that it can be larger than or greater than 17.

Answer:

x > 17 your welcome

Step-by-step explanation:

i don't know i just know it

Answer:

x = - 2/5

Step-by-step explanation:

1.) add six on both sides, the six on the right will cancel out

2.) divide both sides by -20

3.) this will cancel the -20 on the right out which will give your answer for x on the left side

therefore, x should equal - 2 / 5 once simplified

Answer:

6

Step-by-step explanation:

cuz in a normal die there r 6 outcomes

Answer:

A histogram is a bar graph that represents grouped data

Answer:14x+4

Step-by-step explanation:

edit: the answer is 14x + 4

(the reason i edited was to cause less confusion)

I believe x=4

and the y=3

Answer:

x = 4

y = 3

Step-by-step explanation:

2 × 4 = 8

8 + 10 = 18

2 × 3 = 6

6 + 4 = 10

Step-by-step explanation:

) Every positive rational number is greater than 0. 

(ii) Every negative rational number is less than 0.

(iii) Every positive rational number is greater than every negative rational number. 

(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left. 

(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right