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Roman55 [17]
3 years ago
15

Factorise fully gcse maths please help

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

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e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)
Tema [17]

Answer:

The rule of translation : (x,y)\rightarrow (x+7,y-4)

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

-5-2=-7

Difference between y-coordinates:

-5-(-9)=-5+9=4

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

(x,y)\rightarrow (x+7,y-4)

The vertices of image are

R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)

S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)

T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)

U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0
3 years ago
What is a simpler form of the following expressions?
nadezda [96]

Answer:

D. 49p² - 64

Step-by-step explanation:

(7p - 8)(7p + 8)

Solving this requires the 'difference of squares' concept which states;

If (a - b)(a + b)

Then the solution must be a² - b²

Considering (7p - 8)(7p + 8) then the answer is;

(7p)² - 8² = 49p² - 64

6 0
3 years ago
What quadrilateral have all the attributes of rhombus ​
marusya05 [52]

Answer:

A rhombus and a square since a square is also a rhombus.

8 0
3 years ago
Which number produces an irrational number when added to 0.5?
Andru [333]
It would be the square root of 3
5 0
3 years ago
What is the side length a in the triangle below?
grigory [225]

Answer:

a=5

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

13^2-12^2=a^2

169-144=a^2

25=a^2

5=a

8 0
3 years ago
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