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3241004551 [841]
3 years ago
15

Find the length of MN.​

Mathematics
2 answers:
Debora [2.8K]3 years ago
8 0

Answer:

32

Step-by-step explanation:

39 = 4(x + 5) + 2x + 1

39 = 4x + 20 + 2x + 1

39 = 6x + 21

18 = 6x

x = 3

MN = 4(x + 5)

MN = 4(3 + 5)

MN = 4(8)

MN = 32

hope this helped!

ira [324]3 years ago
3 0

Step-by-step explanation:

MP = MN + NP

39 = 4(x+5) + 2x+1

39 = 4x + 20 + 2x + 1

39 = 6x + 21

6x = 39-21

6x = 18

x = 3

Then,

MN = 4(3+5)

= 4×8

= 32

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X<br> 757 - 68 =?<br> Write your answer as a whole number and remainder.
jasenka [17]

Answer:

689

Step-by-step explanation:

just subtract.

6 0
3 years ago
What is 26-2b&gt;2(3b+4)
Brrunno [24]
26 - 2b > 2(3b + 4)    |use distributive property: a(b + c) = ab + ac

26 - 2b > 6b + 8    |subtract 26 from both sides

-2b > 6b - 18    |subtract 6b from both sides

-8b > -18    |change signs

8b < 18    |divide borh sides by 8

b < 18/8

b < 9/4

b < 2.25
3 0
3 years ago
Please, someone, help me
qwelly [4]

Answer:

282.7 in³

Step-by-step explanation:

The solid is a cylinder

Volume of the cylinder = πr²h

Where,

radius (r) = 3 in.

height (h) = 10 in

Volume = π*3²*10

= π*9*10

= π*90

= 282.743339 ≈ 282.7 in³ (nearest tenth)

8 0
3 years ago
The quotient of (x4 â€"" 3x2 4x â€"" 3) and a polynomial is (x2 x â€"" 3). What is the polynomial? x4 â€"" 2x2 5x â€"" 6 x2 â€""
Sever21 [200]

The quotient of polynomials is the division of the polynomials

The polynomial is x^6 + x^5 -6x^4 +x^3 +10x^2-15x +9

Represent the polynomial with P.

So, the quotient is represented as:

\frac P{x^4 -3x^2 + 4x - 3} = x^2 + x -3

Make P the subject

P = (x^4 -3x^2 + 4x - 3)( x^2 + x -3)

Expand the expression on the right-hand side of the equation

P =x^4(x^2 + x -3) -3x^2(x^2 + x -3) + 4x(x^2 + x -3) - 3(x^2 + x -3)

Further, expand

P =x^6 + x^5 -3x^4 -3x^4 - 3x^3 +9x^2 + 4x^3 + 4x^2 -12x - 3x^2 - 3x +9

Collect like terms

P =x^6 + x^5 -3x^4 -3x^4 - 3x^3+ 4x^3 +9x^2  + 4x^2  - 3x^2-12x - 3x +9

Evaluate like terms

P =x^6 + x^5 -6x^4 +x^3 +10x^2-15x +9

Hence, the polynomial is x^6 + x^5 -6x^4 +x^3 +10x^2-15x +9

Read more about quotient of polynomials at:

brainly.com/question/9949019

8 0
3 years ago
In 6 years, Mariya will be as old as Vikram is now. In 2 years, Vikram will be three times older than Mariya. Find their ages no
Damm [24]

Answer:

Mariya is 1 year old

Vikram is 7 years old

Step-by-step explanation:

Here, we want to know the present ages of Mariya and Vikram.

Let the present age of Mariya be M and the present age of Vikram be V

From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now

Thus, mathematically;

M + 6 = V ••••••(i)

Furthermore , in 2 years time Vikram will be 3 time older than Mariya

Mathematically;

( V + 2) = 3( M + 2)

V + 2 = 3M + 6

V = 3M + 6-2

V = 3M + 4 •••••••(ii)

So let’s equate the V

3m + 4 = m + 6

3m -m = 6-4

2m = 2

m = 1

But V = m + 6

V = 1 + 6

V = 7

3 0
4 years ago
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