What is the area of this trapezium

Answer:

Hi, there for x it will be x=−2y+6

But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]

Hope this Helps :)

Step-by-step explanation:

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]

x=−2y+6

2.

Let's solve for y.

2x+4y=12

Step 1: Add -2x to both sides.

2x+4y+−2x=12+−2x

4y=−2x+12

Step 2: Divide both sides by 4

[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]

[tex]y=-\frac{1}{2} x+3[/tex]

Answer:

end behavior

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

Step-by-step explanation:

[tex]\frac{120+30}{\frac{66}{1126}-8*3+17-4*4 }[/tex]

[tex]\frac{-42225}{6458}[/tex]

Answer:

for cycling, time is 1.5 hours

for hogging time is 0.5 hour.

Step-by-step explanation:

speed of cycling = 30 km/h

speed of jogging = 8 km/h

total time  = 2 hrs

total distance, D = 49 km

Let the time for cycling is t, so that time time for jogging is 2 - t .  

distance = speed x time

49 = 30 x t + 8 (2 - t)

49 = 30 t + 16 - 8 t

33 = 22 t

t = 1.5 hour

So, time for cycling is 1.5 hours and time for jogging s 0.5 hr.

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

Answer:

7 11/12

Step-by-step Explanation:

2 1/2 = 2 2/4

2 2/4 + 1 3/4 = 3 5/4 = 4 1/4

4 1/4 = 4 3/12

3 2/3 = 3 8/12

4 3/12 + 3 8/12 = 7 11/12

Answer:

D=1

Step-by-step explanation:

g(x)=x³-9x²+27x-25

g(2)=(2)³-9(2)²+27(2)-25

=8-36+54-25

=1

Answer:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

start by replacing f(x) for y:

y = 2x + 1

switch y and x:

x = 2y+1

solve for x by first subtracting 1 from both sides:

2y = x-1

divide 2 from both sides:

y = [tex]\frac{x - 1}{2}[/tex]

replace y with [tex]f(x)^{-1}[/tex]:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Answer:

Step-by-step explanation:

Tan 145 = - 0.7002

Tan 85 = 11.43

Tan 145 + tan 85 =  10.7298

1 - tan(145)* tan(85) = 9.003

(Tan(145) + Tan(85)) / (9.003)

= 10.73 / 9.003

= 1.1918

I misread the question. If you mean

(Tan145+tan85) /1-tan145*tan85   (brackets are really important here)

then the answer is

Tan(145 + 85)

= Tan(230)

= 1.1918

Answer: 5. 83 1/3*pi, or 261.8 (approx.) 6. 2*pi, or 6.28 (approx.) 7. 42 2/3*pi or 134.04 (approx.) 8. 144*pi or 452.39 (approx.)

Step-by-step explanation:

Volume of a circular cone : pi*r^2*h/3

I applied the formula to find these answers

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

Answer:

23

Step-by-step explanation:

I DID 7*3+2 & GOT 23

Answer:

E

Step-by-step explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

Answer:

59°

Step-by-step explanation:

180 - 147 = 33

88 + 33 = 121

180 - 121 = 59

Answer:

216

Step-by-step explanation:

Answer:

In common notation: lcm (27,72) = 216

Answer:

x = 1

Step-by-step explanation:

-3 (7x + 7) = -38 - 4x

-3(7x)-3(7) = -38 - 4x

-21x - 21 = -38 - 4x

-21x+4x = -38+21

-17x = -17

x = -17/-17

x = 1

Answer:

x = 1.

Step-by-step explanation:

-3(7x + 7) = -38 - 4x

Use distributive property to get:

-21x - 21 = -38 - 4x

Add 4x to both sides to get:

- 17x - 21 = -38

Add 21 to both sides to get:

- 17x = -17

x = 1.

I hope this helps, have a nice day.

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

Answer:

it is number 1

Step-by-step explanation:

i asked my teacher

Answer: 3 or 4, this question isnt exactly possible to answer

Step-by-step explanation: