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Luda [366]
2 years ago
13

The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.

Mathematics
2 answers:
muminat2 years ago
7 0

Answer:

Width is 4cm, length is 12 cm.

Step-by-step explanation:

Write the problem as an equation.

(x+12)*(x)=48

Where x is the length of the shorter side.

Solve.

(x^2)+12x=48

x=4

adell [148]2 years ago
3 0

Answer:

Sides: 6 and 18

Step-by-step explanation:

48-(12*2)=24

24/4=6

6+12=18

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Find the product (a^2-b)(5a^2+6b)
Pie

Answer:

5a^​4​​+a^​2​​b−6b​^2​​

Step-by-step explanation:

1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

5a^4+6a^2b−5ba^2−6b^2

2. Collect like terms.

5a^4+(6a^2b−5a^2b)−6b^2

3. Simplify.

5a^4+a^2b−6b^2

7 0
3 years ago
The Walt Whitman bridge is 2000 feet long. This is 600 feet longer than two fifths of the length of George Washington bridge. Wr
Minchanka [31]

Answer:

2000= 600+2/5x

Step-by-step explanation:

length = X Ft

(2/5)x+600=2000

multiple both sides by 5/2:

x + 1500= 5000

x= 3500 ft

3 0
3 years ago
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

x=5y -----> equation A

y=2z

z=y/2 -----> equation B

(x+2)+(y+2)+(z+2)=58

x+y+z+6=58

x+y+z=52  -----> equation C

Substitute equation A and equation B in equation C and solve for y

5y+y+y/2=52

Multiply by 2 both sides to remove the fraction

10y+2y+y=104

13y=104

y=8

<em>Find the value of x</em>

x=5(8)=40

<em>Find the value of z</em>

z=8/2=4

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0
3 years ago
How do I find the displacement? Help frl
liubo4ka [24]

Answer:

  • distance traveled: 30 m
  • displacement: 21.4 m

Step-by-step explanation:

You want the distance traveled and the displacement after walking 17 m south and 13 m east.

<h3>Distance</h3>

The distance traveled is the sum of the lengths of each leg of the trip:

  17 m + 13 m = 30 m

You have traveled a distance of 30 m.

<h3>Displacement</h3>

The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:

  h = √(a² +b²)

  h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401

At the end of your walking, you are 21.4 m from where you started.

5 0
2 years ago
Determine whether the equation is always sometimes or never true 2(5x+4)=10x+6
Usimov [2.4K]
This equation is NEVER true. Let's solve the equations algebraically by applying the Distributive Property of Multiplication and transposing the terms across the equality sign. The solution is as follows:

<span>2(5x+4)=10x+6
10x + 8 = 10x + 6
10x - 10x = 6 - 8
0 = -2

Therefore, it is not true.</span>
3 0
2 years ago
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