Factorise completely 12 x³y - 18 xy²​

Step-by-step explanation:

in a parallelogram we have 2 equally large angles and 2 equally small angles.

the sum of all 4 angles must be 360°.

so let's first determine what angles are together 204°.

if it would be 2 neighboring angles, it would be the sum of a large and a small angle.

and the sum of the remaining 2 angles would be the same (again 204°).

but that that would together be 408°. too much.

so, it can only be that the 2 given angles are a pair of equal angles. and each would be

204/2 = 102°

as they are larger than 90°, they are the large angles in the parallelogram.

so, the other 2 angles are the pair of equally large small angles. together they have

360 - 204 = 156°

and each one is then

156/2 = 78°

Answer:

-5/6

Step-by-step explanation:

A great way to divide fractions is to use the "leave it, change it, flip it" method.  You leave the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction so you get the reciprocal.  Like this:

-5/7 ÷ 6/7

-5/7 x 6/7

-5/7 x 7/6

Then you multiply through.  First -5 x 7, -35, and then 7 x 6, 42, to get -35/42.  Because both of these are divisible by 7, we can simplify to get -5/6.

Answer:

-5

6

Step-by-step explanation:

⇒ [tex]\frac{-5}{7}[/tex] ÷ [tex]\frac{6}{7}[/tex]

⇒ [tex]\frac{-5}{7}[/tex] × [tex]\frac{7}{6}[/tex]

(We do this because when dividing a fraction by another fraction we take the inverse of the second fraction and multiply it to the first fraction.)                                                                                                          

⇒ -5 × 7 = -35 (to simplify just divide both by 7) = -5

     7 × 6     42                                                             6

So the answer is -5

                            6

Answer:

xavier

Step-by-step explanation:

in a number line full of negative and positive the farther down left you go the lower it get. the farther down right you go the higher it get. this is the same in the negative section even though you may think because 12 is a bigger number then seven in the negatives that rule is flipped. Hopes this helps?

Step-by-step explanation:

angle 2+40=180

angle 2=180-40

angle 2=140

the answer Is 140 degree

There exists one real zero when the vertex lies on the x-axis, from that we conclude that the correct option is A.

The real zeros of a quadratic function are the values of x at which the graph of the quadratic function intercepts the x-axis.

If we want only one real zero, then we must have only one intercept. And this only can happen if the vertex of the quadratic function lies on the x-axis.

As you can see, the only graph where that happens is the one in option A, so we conclude that option A is the correct one.

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Answer:

There are infinitely many solutions to the system because the equations represent the same line

Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m

Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.

The surface area of sphere is given by A = 4πr² where r = radius of sphere

Making r subject of the formula, we have

r = √(A/4π)

Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.

So, A = 78.5 m²

Substituting this into the equation for r, we have

r = √(A/4π)

r = √(78.5 m²/4π)

r = √(19.625 m²/π)

= √(6.246 m²)

= 2.499 m

≅ 2.5 m

So, the radius of the sphere is 2.5 m

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Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

The 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The radius is the double the diameter.

The longest chord in the circle is diameter.

The angle formed at the centre is known as centeral angle.

Thus, the 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.

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Answer:

This assumes the question should read:

"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal​

The age, d, is 14 years.

Step-by-step explanation:

When the girl with age d is not included, the average goes up to 16.5 years.   Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years.  d is the age of the girl that is removed from the average.

We know that all the girls (GroupA + d) have an average age of 16 years:

(GroupA + d)/5 = 16 years  [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].

We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:

(GroupA)/4 = 16.5 years

This tells us the sum of the ages for GroupA:

GroupA = 4*(16.5)

GroupA total = 66 years

From above:       (GroupA + d)/5 = 16 years

Since GroupA = 66 years,    (66 years + d)/5 = 16 years

(66 years + d) = 90 years

d = 14 years

Answer:

3rd Option    -     3(x-4) = 6x

Step-by-step explanation:

To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :

[tex]\frac{3}{x} = \frac{6}{x-4}[/tex]   ----->  [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)

Now to remove x-4 under 6x we do the following :

[tex]{3}= \frac{6x}{x-4}[/tex]   ------> [tex]3(x-4)= {6x[/tex]

Therefore giving our answer as the 3rd option.

Hope this helped and have a good day

Answer:

2000 imports is the best i think

The possible orders in which Elliott can do these tasks is 24

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

P(n,r) = n! / (n-r)!

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD  ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

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Answer:

x=14

Step-by-step explanation:

The sum of a interior angle is 180°

(7x-11)+(2x-3)+(5x-2)°=180°

7x+2x+5x=180+11+3+2

14x/14=196/14

x= 14

Hope this answers your question!! :)

Answer:

x=95

Step-by-step explanation:

First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.

The height of the right cone is 10.68 unit

Volume is defined as the space occupied by a three dimensional object.

Volume of a right cone is given  by

V = π r²h/3

C = 2 π r

r = 247/2 π

3 * 17287 =  π  r²h

3 * 17287 =  π *(247/2 π )²h

h = 51861 *π *4/61009

h = 10.68 unit

Therefore the height of the right cone is 10.68 unit.

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Step-by-step explanation:

5x – 2x + 7 – x = ?x + ?

I need the answer for "no solution" and "infinite solutions".

NO SOLUTION:

no solution because any value you give to x is not solvable, it remains +7

5x – 2x + 7 – x = ?x + ?

2x = 2x + 7

INFINITE SOLUTION

infinite solutions because any value you give to x is solvable

5x – 2x + 7 – x = ?x + ?

5x – 2x + 7 – x = 2x + 7

2x + 7 = 2x + 7

Answer:

Any more information to the problem?

Step-by-step explanation:

The value of m<3= 130

The correct option is (c)

Given:

m<1= 50

m<1+ m<2= 180  (Linear pair)

m<2= 180-50

m<2=130

Now, m<2 = m<3  [alternate interior angles]

m<3= 130

Hence, the measure of <3 is 130.

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Answer:

The person above me is correct

Step-by-step explanation:

Answer:

Good style in solving such problems is to notice/(to observe) immediately from the condition that the difference

   between two combinations is  the cost of 2 cookies,  and it is equal to  $9 - $7 = $2.   So  2 cookies cost  $2.

   Then subtracting $2 dollars for 2 cookies from the Greg purchase, you got the cost of two bottles - it is equal to  $7 - $2 = $5.

   Answer.  A bottle of water costs  $2.50.

Step-by-step explanation:

The perimeter of the sector = 47.905 cm

47.905 cm is greater than 47.5 cm.

Perimeter of a sector = Arc length + 2(radius).

Arc length = ∅/360 × 2πr

Given the following:

Perimeter = (∅/360 × 2πr) + 2(r) = (135/360 × 2×π×11) + 2(11)

Perimeter = 25.905 + 22

Perimeter = 47.905 cm

Thus, the perimeter of the sector (47.905 cm) is greater than 47.5 cm.

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Answer: A= -5

Step-by-step explanation:

Answer: a = 5

Step-by-step explanation:

      To solve, we will isolate the variable a.

Given:

2а + 20 = -3а - 5

Add 3a to both sides of the equation:

5а + 20 = - 5

Subtract 20 from both sides of the equation:

5а = 25

Divide both sides of the equation by 5:

a = 5

Answer x= 30

M angle A = 85

M angle C = 45

Reason - see picture for the math

Answer: The answer is B.

Step-by-step explanation: An open circle means < or >. A closed circle means lesser or equal to or greater or equal to. The open circle is on 4 and the ray is going right. The closed circle is on 0 and the ray goes left. This is correct.

Answer:

none of those are correct.

Step-by-step explanation:

5 red

7 blue

8 white

5 red + 7 blue= 12

5 red + 7 blue + 8 white= 20

=12/20

=6/10

Answer:

82+41=awnser

Step-by-step explanation:

82+41= smart

Step-by-step explanation:

x is less than or equal to 0.

so click x than the choose the third option then click 0

Choices B, C, and D are correct. Nice work.

Further explanation:

Answer:

137,114

Step-by-step explanation:

First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.