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NeX [460]
3 years ago
14

In parallelogram ABCD, if AO = 4x + 12 and OC = 5x – 6 what is the ****length of AC (be careful)

Mathematics
1 answer:
ANEK [815]3 years ago
7 0

Answer:

Step-by-step explanation:

The sides of a parallelogram are equal. If O is the midpoint of its diagonal AC, them AO+OC = AC

Given

AO = 4x + 12 and

OC = 5x – 6

Required

AC

AC = 4x+12 + 5x-6

AC = 4x+5x+12-6

AC = 9x+6

Hence the length of AC is 9x+6

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Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
  • 4. Temperature, kelvin (K)
  • 5. Light intensity, candela (cd)
  • 6. Electric current, ampere (A)
  • 7. Amount of substance, mol (m)

Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

1 slug = 14.59 kg

1 newton = 0.225 lb

1 lb = 4,448 newtons

1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

<h3><em>Learn more </em></h3>

yard conversion

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the quantity 0.0075 meters expressed in centimeters

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Keywords: slug, Newton, feet, kg, pound

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3 years ago
If 2(6 + 3x) + 1 = - 5 + 3(x - 1), what is the value of x?
Stels [109]

Answer: x = -7

Step-by-step explanation:

2(6 + 3x) + 1 = - 5 + 3(x - 1)

(2) (6) + (2) (3x) + 1 = -5 + (3) (x) + (3) (-1)

12 + 6x + 1 = - 5 + 3x + - 1

( 6x ) + ( 12 - 1 ) = ( 3x ) + ( -5 + -3 )

6x + 13 = 3x - 8

6x + 13 - 3x = 3x - 8 - 3x

3x + 13 = -8

3x + 13 - 13 = -8 - 13

3x = -21

3x/3 -21/3

X = -7

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2 years ago
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Without using a calculator, order the following numbers from least to greatest
SpyIntel [72]
The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

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3 years ago
I really need help I don’t understand and if you don’t understand geometry please don’t answer I beg you because I need the real
zimovet [89]

Answer:

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Step-by-step explanation:

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3 years ago
Braden about three adult tickets and one child ticket at the movie theater and paid $32. Karen bought seven adult tickets and tw
Rama09 [41]

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+y=32       Eqn 1

7x+2y=72     Eqn 2

Multiplying Eqn 1 by 2

2(3x+y=32)\\6x+2y=64\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(7x+2y)-(6x+2y)=72-64\\7x+2y-6x-2y=8\\x=8

Putting x=8 in Eqn 1

3(8)+y=32\\24+y=32\\y=32-24\\y=8

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about linear equations at:

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