GR. 9 QUESTION 1/ VRAAG 1: Simplify the following: / Vereenvoudig die volgende: 1.1 -8xy-6xz + 10xy + 9xz - 4yx
1.2 m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1
​

The perimeter of the triangle ΔWXY is P = 14.50 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

Now , the measure of sides of the inscribed triangle ΔQRS is

QR = 2.93 cm

RS = 2.04 cm

QS = 2.28 cm

where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ

So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS

And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )

On simplifying , we get

P = 2 ( 7.25 )

P = 14.50 cm

Hence , the perimeter is P = 14.50 cm

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The complete question is attached below :

What is the perimeter of ΔWXY?

a) 11.57 cm

b) 12.22 cm

c) 12.46 cm

d) 14.50 cm

The percentage of time spend at least 80 minutes on homework will be 66.66%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The time he spent on homework each night. this box plot shows the results.

The time spent on homework (min.) 20 40 60 80 100 120.

The percentage will be calculated as:-

Maximum time spent = 120 minutes

The percentage for 80 minutes of homework will be:-

=   120  /  80

=   0.66=66 = 66.66%

Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.

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Answer: 25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

Answer: Heyaa!

If you mean medicine treatment the definition is...

If you mean just basic treatment the definition is...

Hopefully this helps you:

- Matthew

Answer: Choice D) 76

Explanation:

"Sum" means we add the numbers

63+13 = 76

Answer:

D

Step-by-step explanation:

63+13= 76 because sum is add :)

If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.

The area of the shaded region will be

Shaded area = area of semicircle - area of isosceles triangle

Then the area of the semicircle will be

Semicircle area = π 6² / 2

Semicircle area = π36/2

Semicircle area = 56.55 square cm.

The area of the isosceles triangle will be

Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°

Isosceles triangle area = 6 × 6 × 0.5

Isosceles triangle area = 18 square cm

Then the area of the shaded region will be

Shaded area = 56.55 - 18

Shaded area = 38.55 square cm

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Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²

Answer:

la respuesta es 480

Step-by-step explanation:

(-8)(-15)=8*15=120

120*(4)

480

(-8)*(-15)*(4)=480

Step-by-step explanation:

(-8)*(-15)*(4)=480

The equation that we need to solve is:

$157 + $50*m = $50 + $60*m

And the solution is m = 10.7 months.

For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:

f(m) = $157 + $50*m

And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:

g(x) = $50 + $60*m

They will have the same amount of money when:

f(x) = g(x)

$157 + $50*m = $50 + $60*m

$107 = $10*m

$107/$10 = m = 10.7

So, after 10.7 months, both accounts will have the same money.

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Answer:

x = 3

Step-by-step explanation:

Equating the secants :

Answer:

3

Step-by-step explanation:

Theorem:

If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.

In this case:

10 × (10 + 5x + 2) = 9 × (9 + 7x)

10(5x + 12) = 9(7x + 9)

50x + 120 = 63x + 81

-13x = -39

x = 3

Answer:

The answer is21

Answer:

A.

Step-by-step explanation:

I believe it is A. because there are the numbers that equal all together to get that domain.

Answer:

Step-by-step explanation:

Comment

There are 9 marbles all together.

The important  fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.

Solution

First marble: Blue = 3/9 = 1/3

Second marble: Green 2/8 = 1/4

The probability of that happening is

P(blue,Green) = 1/3 * 1/4 = 1/12

Answer P(blue, green) = 1/12

Answer:

5/12 = 0.416666....   also in percentage 29,41 % of the plant are beans and 70.59 % are tomato plants.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]

Hello student!

We are given two angles that are right next to each other and are formed off of a 180 degree angle.  These two angles are known as supplementary angles which means that the two angles add up to 180 degrees.  Using that information we can create an equation to help us find x.

[tex]Angle_1 + Angle_2 = 180[/tex]

[tex](5x - 18) + (4x + 45) = 180[/tex]

We now have a functioning equation which we can use to determine x.  The first step that we have is to combine like terms which means to add together numbers which the same variables.  In this case 5x and 4x would add together and -18 and 45 would also add together.

[tex](5x - 18) + (4x + 45) = 180[/tex]

[tex](5x + 4x) + (-18 + 45) = 180[/tex]

[tex]9x + 27 = 180[/tex]

Now we are down to the final steps which is just some algebra.  The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.  

[tex]9x + 27 - 27= 180- 27[/tex]

[tex]9x = 153[/tex]

The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.

[tex]\frac{9x}{9} = \frac{153}{9}[/tex]

[tex]x=17[/tex]

Therefore, our final answer is that x is equal to 17.

Answer:

18%

Step-by-step explanation:

8/44

Answer:

18% or 8/44

Step-by-step explanation:

add 12+10+14+8=44 then do 8/44

Answer:

15t

Step-by-step explanation:

if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t

Hope this helps! ;-)

Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

Mediator variable explains the relationship between IV and DV.

Moderator variable that changes the relationship between an IV and a DV.

A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.

For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.

In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.

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Assuming that you want the product of the two factors given in each problem:

 ⇒ we solve this problem by timing each unit of a factor to every unit

     of the other factor

   ⇒then add each one of them who shares a common like-term

      ⇒to get the answer

Let's solve:

            [tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]

            [tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]

            [tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]

            [tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]

            [tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]

           [tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]

Hope that helps!

The categories that the expenses best fit into are:

fixed expenses :

variable expenses:

Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.

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Answer:

There are no solutions. this equation  seems wrong

Step-by-step explanation:

Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.

Answer:

y=3x+5

Step-by-step explanation:

Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!

if this makes no sense tell me!