what’s the area of this trapezium

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Answer:

y= -6

Step-by-step explanation:

-4y - 20 + 19 = -y + 17        *add y on the right to get rid of -y

+y                    +y                then add it to -4y

-3y - 20 + 19 = 17               *add 20 to the left to get rid of -20  

     +20           +20              then add it to 17

-3y + 19 = 37                      *subtract 19 from the left to get rid of 19

       -19    -19                      then subtrcat 19 from 37 as well

-3y = 18                             *now we want to divide both sides by -3 to

-3      -3                               get y by it's self

y = -6                                *no we're left with y = -6 :D

- im sorry if this doesn't make sense x(

Answer:

D 16 cupcakes and 40 cookies

Step-by-step explanation:

I wrote an equation to solve for this

2.5x + x = 56

x represents cupcakes

3.5x = 56

x = 16

16 represents cupcakes.

16*2.5 = 40 (cookies)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is Option four .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

Answer:

4

Step-by-step explanation:

20 percent * 20 =

(20:100)* 20 =

(20* 20):100 =

400:100 = 4

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

In a tape diagram, each of the lengths represents a fixed quantity of something.

Let's suppose that each one of these lengths represents a distance d.

We also know that the expert trail is 750 meters longer than the beginner one.

And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.

750m = 3*d

d = 750m/3 = 250m

Then each length in the tape diagram represents 250m

With this we can find the length of each trail.

The beginner trail has 1 length, then it is 1*250m = 250 meters long.

The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.

We would describe 9x+5=32 as an equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:

A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Therefore, We would describe 9x+5=32 as an equation or a function.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

Answer:

75%

Step-by-step explanation:

You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%

Answer:

75%

Step-by-step explanation:

You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%

Answer:

y=120

Step-by-step explanation: 60 x 2 = 120

15x + 120

Answer:

it would be -34

Step-by-step explanation:

Answer:  

(−2,2)

Hope it helps!

Answer:

- 3 and - 2

Step-by-step explanation:

y = | x - 3 | - 2

Answer:

Step-by-step explanation:

5x≥7

Divide both sides by 5

x ≥7/5

Answer:

I would say B

Step-by-step explanation:

Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Step 4: Find w

Answer - A=58 degrees round to the nearest tenth is 60 degrees.

Hope this helps

Answer: 45 yards

Step-by-step explanation:

From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,

Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:

= (2.5inches / 0.5 inches) × 9 yards

= 5 × 9 yards

= 45 yards

Answer:

2/5

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

plz follow me say a thanks

follow me on ig dipeshkumar0853822

Answer:

decimal= -0.4

exact form=-2/5

Step-by-step explanation:

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)

Answer:

C. 35

Step-by-step explanation:

Since 34.698 is higher than 5 in it's tenths place, we give it a shove.

We then get 35 after we shove the 6.

Answer:

-3d+5=-3 is d=8/3

3d-9 is (d-3)

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

(n/2) - 10 = -6

       + 10   +10

[tex]\frac{n}{2}[/tex] = 4

[tex]2*\frac{n}{2} = 4*2[/tex]

n = 8