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bonufazy [111]
3 years ago
8

What is the expression of -6a + 2a + 4a​

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

answer is 12a

Step-by-step explanation:

6

+

2

+

4

6a+2a+4a

6a+2a+4a

Simplify

1

Combine like terms

6

+

2

+

4

6a+2a+4a

1

2

12a

Solution

1

2

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Segment AN is the altitude to side BC in ΔABC. If AB = 3NC and AN = 2NC, prove that AC = BN. (Hint: Use variables in such proble
fomenos

Answer :

The proof is as follows :

Step-by-step explanation:

Let NC = x

⇒ AB = 3x and AN = 2x

In Δ ABN, By using Pythagoras theorem,

AB² = BN² + AN²

⇒ BN² = AB² - AN²

⇒ BN² = (3x)² - (2x)²

⇒ BN² = 5x²

⇒ BN = x√5  .......................(1)

Now in ΔANC , Using Pythagoras theorem We have,

AC² = NC² + AN²

⇒ AC² = x² + (2x)²

⇒ AC² = 5x²

⇒ AC = x√5   ....................(2)

From equations (1) and (2) We get,

AC = BN , which is our required result


4 0
4 years ago
Read 2 more answers
The easiest way to work these out?
ehidna [41]

Answer:

An equation could be 2-4= -2

Step-by-step explanation:

You would count down 4 times from the the number 2 (below the line that says 3) then your answer would be  -2 since below it, is -3. Obviously the number obove it would be 2.

7 0
4 years ago
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Yanka [14]

Answer: 40 cm

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.  

So,

1/2 * (18*d2)= 360

18*d2= 360*2

d2= 720/18

d2= 40

6 0
3 years ago
Find the surface area of this rectangular prism.​
Alexeev081 [22]

Answer:

Surface area of the rectangular prism= 168 yards^2

Step-by-step explanation:

Given Dimensions of the rectangular prism are:

Length(L)= 9 yards\\\\Width(w)=2 yards \\\\Height(H)= 6 yards

Surface Area of a rectangular prism=

                                          2(L*W+W*H+H*L)\\\\                                                           =2(9*2+2*6+6*9)\\\\                                                            =2(18+12+54)\\\\                                                             = 2(84)\\\\

                                    =168 yards^2

The surface area of the rectangular prism is 168 yards^2

5 0
4 years ago
A block of wood measures 4.5 inches by 7 inches. What is the volume of wood
Arada [10]
4.5 x 4.5 x 7 = 141.75 inches cubed
6 0
4 years ago
Read 2 more answers
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