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3 years ago

Which of the following best describes the expression 4(y + 6)? (2 points)

Mathematics

1 answer:

meriva3 years ago

3 0

I need the following...

4y+24 would be the answer

--v---v

4(y+6) ... To get rid of parenthesis, simply multiply 4 by y, and 4 by 6.

4y+24 is the answer.

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The perimeter of the triangle is 42. Find the length of all the sides.

iragen [17]

<h3>Given :-</h3>

Perimeter of triangle = 42

Side 1 of triangle = (x + 4)

Side 2 of triangle = (3x + 8)

Side 3 of triangle = (5x + 6)

Length of sides

<h3>Explanation:</h3>

So to find length of sides we have to find the value of x.We can find value of x , by this formula:

$\\ \\$

$\bigstar \boxed{ \rm perimeter \: of \triangle \: = side_1 + side_2 + side_3}$

$\\ \\$

So:-

$\\$

$\dashrightarrow \tt perimeter \: of \triangle \: = side_1 + side_2 + side_3 \\$

$\\ \\$

$\dashrightarrow \tt 42 = (x + 4) + (3x + 8)+( 5x + 6) \\$

$\\ \\$

$\dashrightarrow \tt 42 = x + 4+ 3x + 8+5x + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = x + 3x+5x+ 4 + 8 + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = 9x+ 4 + 8 + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = 9x+ 18\\$

$\\ \\$

$\dashrightarrow \tt 42 - 18 = 9x \\$

$\\ \\$

$\dashrightarrow \tt 24 = 9x \\$

$\\ \\$

$\dashrightarrow \tt 9x = 24 \\$

$\\ \\$

$\dashrightarrow \tt x = \dfrac{24}{9} \\$

$\\ \\$

$\dashrightarrow \bf x =2.67 \{approx \}\\$

$\\ \\$

Side 1 of triangle = (x + 4)
Side 1 of triangle =2.67 + 4
Side 1 of triangle = 6.67

Side 2 of triangle = 3x + 8
Side 2 of triangle = 3 × 6.67 + 8
Side 2 of triangle = 20.01 + 8
Side 2 of triangle = 28.01

Side 3 of triangle = 5x + 6
Side 3 of triangle = 5 × 2.67 + 6
Side 3 of triangle = 13.35 + 6
Side 3 of triangle = 19.35

━━━━━━━━━━━━━━━━

~WindyMint

3 0

2 years ago

If you are given the lengths of two sides of a right triangle and do not know the angle measures of any angle besides the right

Alexxandr [17]

True
The pythagorean theorem only needs two sides of a right triangle

8 0

3 years ago

Read 2 more answers

Please help I dont get it

SpyIntel [72]

Answer:

B. 12cm

Step-by-step explanation:

We can double check by plugging in the number. However, the question trys to trick you, by giving you the diametre, but in order for the formula to work (V=4 /3πr^3), we will divide the diametre by 2 (12 ÷ 2= 6),

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Once we do that, we can double check, when you plug in your numbers your answer will be around 900 (904.78, to be exact, but the question asks for approximate diamtetre).

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Have a good day :)

3 0

3 years ago

A ball was tossed up into the air. The height of the ball as a function of the time the ball is in the air in seconds can be mod

Brut [27]

Answer:

12.5

Step-by-step explanation:

Its the answer I just did it :)

3 0

3 years ago

Read 2 more answers

I have been struggling at this please help

Taya2010 [7]

Answer:

Step-by-step explanation:

I shall change the pictures to letters

a + a + b = 40 --(1)

b - c = 7 --(2)

c + a = 19 --(3)

a - c + b = ?

From (1):

2a + b = 40

b = 40 - 2a --(4)

From (2):

b = 7 + c --(5)

Sub (4) into (5):

40 - 2a = 7 + c

c = 33 - 2a --(6)

Sub (6) into (3):

33 - 2a + a = 19

a = 14

Sub a = 14 into (4) and (6):

b = 40 - 2(14) = 12

c = 33 - 2(14) = 5

therefore, a - c + b = 14 - 5 + 12 = 21

Topic: simultaneous equations

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5 0

3 years ago