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Vilka [71]
3 years ago
9

Factorise the following x²-12x+32

Mathematics
2 answers:
photoshop1234 [79]3 years ago
8 0

Answer:

( x − 4 ) ( x − 8 )   is the factorised form of the expression.

Step-by-step explanation:

x

2

−

12

x

+

32

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like  

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

1

⋅

32

=

32

AND

N

1

+

N

2

=

b

=

−

12

After trying out a few numbers we get:

N

1

=

−

8

and  

N

2

=

−

4

(

−

8

)

⋅

(

−

4

)

=

32

, and

(

−

8

)

+

(

−

4

)

=

−

12

x

2

−

12

x

+

32

=

x

2

−

8

x

−

4

x

+

32

=

x

(

x

−

8

)

−

4

(

x

−

8

)

(

x

−

8

)

is a common factor to each of the terms.

(

x

−

4

)

(

x

−

8

)

is the factorised form of the expression.

Dmitry [639]3 years ago
7 0
24x 838 I got this Bc u alrdy do this
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PLEASE HELP! WILL GIVE BRAINLIEST!
xz_007 [3.2K]

Answer:

494

Step-by-step explanation:

Frist start with 5x12=60 5x11=55 and 12x11=132

than u need to add all of them also when you get  he answer then u need to mutiply 247x2=494

Hope that help u with your question

5 0
3 years ago
The expression 18a-12 factored is
AlekseyPX

Answer:

6(3a-2)

Step-by-step explanation: Both terms have a 6. Factor that our

5 0
3 years ago
HELP ME !!! Find the perimeter of the polygon​
asambeis [7]

Answer:

50 units

Step-by-step explanation:

this is a walk around problem

the sides of the triangles are 19, 13, and 18

perimeter = 19 + 13 + 18

p = 50 units

6 0
3 years ago
For each day in New England, the probability that it is mostly cloudy is 0.10 . Cindi is planning to go leaf watching, and her f
kolbaska11 [484]

Answer:

0,37

Step-by-step explanation:

It will be easier if we noun the events.

A= Cindi's friend comes to England.

B= New England is mostly cloudly.

We are searching the probability of just A doesn´t happen or just A happens but not B.

The probability of A doesn´t happen is one minus the probability of A:

=(A^{|} )=1-P(A)=1-0.7=0.3

The events A and B are independent for this reason the probability than both occurs is the product of the probability of each event. It means:

P(A \cap B)= P(A)P(B)=0.1*0.7=0.07

The probability of A doesn´t happen or A and B happen is:

P(A^{|} \cup (A \cap B))= P(A^{|} )+P (A \cap B)-P(A^{|} \cap A\cap B)=0.3+0.07-0=0.37

Conclusively we have to rest the probability of A doesn´t happen and A and B happen, but A happens and doesn´t happen and the same time is impossible. For this reason, we have the same result.

P(A^{|} \cup (A \cap B))-P(A^{|} \cap A\cap B)=0.37-0=0.38

Then the probability either Cindi's friend does not come to New England, or she does come but it is mostly cloudy is 0.37

8 0
3 years ago
a storage drum in the shape of a cylinder is 3 feet tall and has a diameter of 4 feet. what is the total surface area of the sto
nlexa [21]

Answer:

SA=62.8\ ft^2

Step-by-step explanation:

we know that

The surface area of a cylinder is equal to

SA=2\pi r^{2}+2\pi rh

we have

h=3\ ft

r=4/2=2\ ft ----> the radius is half the diameter

assume

\pi =3.14

substitute

SA=2(3.14)(2)^{2}+2(3.14)(2)(3)

SA=62.8\ ft^2

7 0
3 years ago
Read 2 more answers
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